From 0515717e6d5b57feb7d6aafc176e60dbe0b1d6e2 Mon Sep 17 00:00:00 2001
From: Jean-Marc Petit <jean-marc.petit@normalesup.org>
Date: Wed, 25 Feb 2026 14:46:37 +0100
Subject: [PATCH 1/2] Adding licence files and .gitignore. 2026-02-25T13:47 UT.

---
 .gitignore                |   8 ++++++++
 eupl1.1.-en_0_0.pdf       | Bin 0 -> 33994 bytes
 eupl1.1.-licence-en_0.pdf | Bin 0 -> 34271 bytes
 3 files changed, 8 insertions(+)
 create mode 100644 .gitignore
 create mode 100644 eupl1.1.-en_0_0.pdf
 create mode 100644 eupl1.1.-licence-en_0.pdf

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..e911088
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,8 @@
+.idea
+__pycache__
+build
+ModelUsed.dat
+OSSOS-model.out
+*.log
+*.ipynb
+*.so
\ No newline at end of file
diff --git a/eupl1.1.-en_0_0.pdf b/eupl1.1.-en_0_0.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..d69ea0d0460755bd04c0f8a6f023f1f48ca7faf7
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HcmV?d00001


From a9cdf5b11ff8b7aa45c4793bcddccbbc9a21772f Mon Sep 17 00:00:00 2001
From: Jean-Marc Petit <jean-marc.petit@normalesup.org>
Date: Wed, 25 Feb 2026 14:56:07 +0100
Subject: [PATCH 2/2] Added Commons disrectory and a few lines to .gitignore.
 2026-02-25T13:65 UT.

---
 .gitignore             |  12 +-
 Commons/Driver.f95     | 181 ++++++++++++
 Commons/Makefile       |  70 +++++
 Commons/datadec.f95    |  36 +++
 Commons/elemutils.f95  | 437 +++++++++++++++++++++++++++
 Commons/ioutils.f95    | 141 +++++++++
 Commons/kind_map       |  18 ++
 Commons/modelutils.f95 | 654 +++++++++++++++++++++++++++++++++++++++++
 Commons/rot.f95        | 277 +++++++++++++++++
 9 files changed, 1825 insertions(+), 1 deletion(-)
 create mode 100644 Commons/Driver.f95
 create mode 100644 Commons/Makefile
 create mode 100644 Commons/datadec.f95
 create mode 100644 Commons/elemutils.f95
 create mode 100644 Commons/ioutils.f95
 create mode 100755 Commons/kind_map
 create mode 100644 Commons/modelutils.f95
 create mode 100644 Commons/rot.f95

diff --git a/.gitignore b/.gitignore
index e911088..9e36487 100644
--- a/.gitignore
+++ b/.gitignore
@@ -5,4 +5,14 @@ ModelUsed.dat
 OSSOS-model.out
 *.log
 *.ipynb
-*.so
\ No newline at end of file
+*.so
+*.o
+*.mod
+Classical/Classical
+Commons/Driver
+Commons/GiMeObj.f95
+Detached/Detached
+Inner/Inner
+Plutinos/Plutinos
+Scattering/Scattering
+Twotinos/Twotinos
\ No newline at end of file
diff --git a/Commons/Driver.f95 b/Commons/Driver.f95
new file mode 100644
index 0000000..495c15d
--- /dev/null
+++ b/Commons/Driver.f95
@@ -0,0 +1,181 @@
+program Driver
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+!
+! File Driver.f95
+!
+! J.-M. Petit  Observatoire de Besac
+! Version 1:  May 2013
+!
+! The purpose of this program is to compare models of the Kuiper Belt to
+! reality by actually comparing what the surveys (say CFEPS or OSSOS)
+! would have found if the model was a good representation of the real
+! world, to the objects that were actually found.
+!
+! The workflow of the survey simulator driver is as follows:
+!
+!     Loop (some condition):
+!         call GiMeObj(arg_list_1)
+!         Check model ended:
+!             set exit condition
+!         call Detos1(arg_list_2)
+!         Check detection and tracking:
+!             store results
+!
+! The GiMeObj routine is in charge of providing a single new object at
+! each call. The Detos1 routine determines is the proposed object would
+! have been detected by the survey.
+!
+! The survey simulator expects orbital elements with respect to ecliptic
+! reference frame.
+!
+! Logical unit numbers 7 to 19 are reserved to use by Driver.f and
+! SurveySubs.f and should not be used by GiMeObj or any other routine
+! that you may add to the driver. Please use logical unit numbers
+! starting from 20.
+!
+! As currently written, the driver includes a file 'GiMeObj.f'
+! containing the definition of the model. The correct way to use this
+! feature is to have one's GiMeObj routine in a file <whatever.f> and
+! create a symobolic link: 
+!
+!     ln -s <whatever.f> GiMeObj.f
+!
+! For more information, please refer to README files in the source directory.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+
+  use gimeobjut
+
+  implicit none
+
+  integer, parameter :: screen = 6, keybd = 5, verbose = 9
+  integer :: lun_h
+  type(t_orb_m) :: o_m
+! color array NEEDS to be length 10 or more!
+  real (kind=8) :: h, epoch, hmax, rn_iter
+  integer :: ierr, seed, n_iter, nmax, nchar, values(8), seed_mod
+  character(80) :: det_outfile, line
+  character(100) :: comments
+  character(10) :: time
+  character(8) :: date
+  character(5) :: zone
+  logical :: keep_going, rec
+
+  lun_h = 10
+  keep_going = .true.
+
+! Get arguments
+! Seed for random number generator
+  read (keybd, *, err=9999) seed
+  seed_mod = seed
+! -maximum number of trials (<0) or calibrated number of objects
+  read (keybd, *, err=9999) nmax
+! Maximum value of H to draw
+  read (keybd, *, err=9999) hmax
+! Do we want to record the objects inside GiMeObj ?
+  read (keybd, *, err=9999) rec
+! Name for the model objects outfile
+  read (keybd, '(a)', err=9999) det_outfile
+  det_outfile = strip_comment(det_outfile)
+
+!  print *, n_track_max
+
+! Open output files and write header
+  open (unit=lun_h, file=det_outfile, status='new', err=9500)
+
+  call date_and_time(date, time, zone, values)
+  write (lun_h, '(a17,a23,2x,a5)') '# Creation time: ', &
+       date(1:4)//'-'//date(5:6)//'-'//date(7:8)//'T'  &
+       //time(1:2)//':'//time(3:4)//':'//time(5:10), zone
+  write (lun_h, '(''#'')')
+  write (lun_h, '(''# Seed: '', i10)') seed
+  write (lun_h, '(''#'')')
+  write (lun_h, '(a,a)') &
+       '#   a        e        i      Omega    omega      M', &
+       '        H       epoch      comment '
+  
+! Initialize counters
+  n_iter = 0
+  rn_iter = 0.d0
+
+! Open and read in object distribution
+100 continue
+      
+!     Main loop: loop on objects
+  if (keep_going) then
+
+!        Select object.
+     nchar = 0
+     call GiMeObj (seed_mod, nmax, hmax, rec, &
+          o_m, epoch, h, comments, nchar, ierr)
+
+     if (ierr .eq. -10) then       ! Something wrong with this object, go to next one
+        goto 100
+     else if (ierr .eq. -20) then     ! Something very wrong happend, stop
+        write (screen, '(a)') 'GiMeObj returned -20, stopping.'
+        goto 2010
+     else if (ierr .eq. 100) then     ! Reached end of model, prepare to stop
+        keep_going = .false.
+     end if
+
+!        Count number of iterations; may exceed 2**31, so use a real*8 helper
+     n_iter = n_iter + 1
+     if (n_iter .gt. 2000000000) then
+        rn_iter = rn_iter + dble(n_iter)
+        n_iter = 0
+        if (rn_iter .ge. 9.d9) goto 2000
+     end if
+
+     write (lun_h, 9000) o_m%a, o_m%e, o_m%inc/drad, o_m%node/drad, &
+          o_m%peri/drad, o_m%m/drad, h, epoch, comments(1:nchar)
+
+     goto 100
+!     end of the if( keep_going ) loop    
+  end if
+
+2000 continue
+  write (lun_h, '(''#'')')
+  write (lun_h, '(''# Total number of objects:   '', f11.0)') &
+       rn_iter + dble(n_iter)
+  close (lun_h)
+
+  call exit (0)
+
+9000 format (f9.4,1x,5(f8.4,1x),f6.2,1x,f13.5,1x,a)
+
+9500 continue
+  write (screen, *) 'File --- "', det_outfile, '" already exists. '
+  goto 9502
+
+9502 continue
+  write (screen, *) 'Make sure "', det_outfile, &
+       '" do not exist and restart ModelDriver.'
+  call exit(-1)
+
+9999 continue
+  write (screen, *) 'Usage: ModelDriver < input'
+  write (screen, *)
+  write (screen, *) 'This will read the following from the keyboard:'
+  write (screen, *) '<seed>'
+  write (screen, *) '<nmax>'
+  write (screen, *) '<Hmax>'
+  write (screen, *) 'rec'
+  write (screen, *) '<det_file>'
+  write (screen, *) 'where:'
+  write (screen, *) &
+       '<seed>: integer used as seed for the random number generator'
+  write (screen, *) '<nmax>: -maximum number of trials if < 0'
+  write (screen, *) '        Calibrated number of object if >= 0'
+  write (screen, *) '<Hmax>: maximum value of H up to which to draw'
+  write (screen, *) &
+       '<rec>: do we want to record the model objects inside GiMeObj'
+  write (screen, *) '<det_file>: output file for model objects'
+
+  call exit(0)
+
+  2010 continue
+  write (lun_h,*) "# Failed while generating model object."
+  call exit(-20)
+
+
+end program Driver
diff --git a/Commons/Makefile b/Commons/Makefile
new file mode 100644
index 0000000..a0722ca
--- /dev/null
+++ b/Commons/Makefile
@@ -0,0 +1,70 @@
+U	= datadec ioutils elemutils rot
+OBJU	= $(addsuffix .o,${U})
+SRCU	= $(addsuffix .f95,${U})
+FPPU	= $(addsuffix .fpp,${U})
+MODU	= $(addsuffix .mod,${U})
+
+M   = modelutils GiMeObj
+OBJM	= $(addsuffix .o,${M})
+SRCM	= $(addsuffix .f95,${M})
+FPPM	= $(addsuffix .fpp,${M})
+MODM	= $(addsuffix .mod,${M})
+
+
+GOBJ	= GiMeObjF95
+
+FC	= gfortran
+FPP	= gfortran -E -x f95-cpp-input -fPIC -DPYTHON
+
+FFLAGS	= -O3 -fPIC -x f95-cpp-input
+FFLAGP	= -O3
+CFLAGS  = 
+CPPFLAGS = 
+
+TOPTARGETS := clean test
+GIMEOBJ ?= OSSOS-classical-model
+
+all:	Driver
+
+%.fpp :	%.f95
+	$(FPP) $< -o $@
+
+%.o : %.f95
+	$(FC) $(FFLAGS) -c $<
+
+.PHONY: clean
+
+clean: rmtmp
+	rm -f _$(GOBJ)*.so Driver GiMeObj.f95
+
+rmtmp:
+	rm -f *~ *.o *.mod *.fpp f90wrap*f90
+	rm -f $(GOBJ).py
+	rm -f *.log LOG .f2py_f2cmap
+
+.PHONY: link
+
+GiMeObj.f95: link
+
+link:
+	\rm -f GiMeObj.f95
+	\rm -f GiMeObj.o
+	ln -s $(GIMEOBJ).f95 GiMeObj.f95
+
+Driver: link Driver.f95 $(OBJU) ${SRCM} Makefile
+	$(FC) $(FFLAGP) -o Driver $(OBJU) ${SRCM} Driver.f95
+
+Modules: _$(GOBJ).so Makefile
+	echo "Modules have been built"
+
+_$(GOBJ).so: link $(FPPU) $(OBJU) $(GIMEOBJ).f95 Makefile
+	\rm -f _$(GOBJ).so
+	f90wrap -k kind_map -m $(GOBJ) $(FPPU) 1>f90wrap_GiMeObj.log 2>&1
+	f2py-f90wrap --fcompiler=$(FC) -c -m _$(GOBJ) $(OBJU) f90wrap_*.f90 1>f2py_GiMeObj.log 2>&1
+	\rm f90wrap_*.f90
+	\rm *.fpp *.mod *.o
+	sed -e 's/import _$(GOBJ)/from . import _$(GOBJ)/' -i.bck $(GOBJ).py
+	rm $(GOBJ).py.bck
+	rm .f2py_f2cmap
+	mv _$(GOBJ)*.so _$(GOBJ).so
+
diff --git a/Commons/datadec.f95 b/Commons/datadec.f95
new file mode 100644
index 0000000..a8c0c32
--- /dev/null
+++ b/Commons/datadec.f95
@@ -0,0 +1,36 @@
+module datadec
+
+  ! define length of array parameters
+  integer, parameter :: nw_max = 20, nparmax = 20
+
+  ! define some useful constants
+  real (kind=8), parameter :: Pi = 3.141592653589793238d0, drad = Pi/180.0D0, &
+       TwoHours = 2.d0/24.d0, TwoPi = 2.0d0*Pi, eps = 1.d-14, &
+       Flatten = 0.003352813d0, & ! flattening of earth, 1/298.257
+       Equat_Rad = 6378137.0d0 ! equatorial radius of earth, meters
+
+  real (kind=8), parameter :: km2AU = 149597870.700d0
+
+
+  real (kind=8), parameter :: gmb = 1.d0+1.d0/6023600.0d0+1.d0/408523.71d0 &
+       +1.d0/328900.56d0+1.d0/3098708.0d0+1.d0/1047.3486d0+1.d0/3497.898d0 &
+       +1.d0/22902.98d0+1.d0/19412.24d0+1.d0/1.35d8
+
+  ! Internal variables
+  real (kind=8) :: om_lim_low, om_lim_high
+  common /om_lim_com/ om_lim_low, om_lim_high
+
+  ! define data type to represent survey efficiency and pointings, and objects
+  type t_orb_m
+     real (kind=8) :: a, e, inc, node, peri, m
+  end type t_orb_m
+
+  type t_orb_p
+     real (kind=8) :: a, e, inc, node, peri, tperi
+  end type t_orb_p
+
+  type t_v3d
+     real (kind=8) :: x, y, z
+  end type t_v3d
+
+end module datadec
diff --git a/Commons/elemutils.f95 b/Commons/elemutils.f95
new file mode 100644
index 0000000..1cbb0f7
--- /dev/null
+++ b/Commons/elemutils.f95
@@ -0,0 +1,437 @@
+module elemutils
+
+  use datadec
+
+contains
+! \subroutine{coord\_cart}
+
+  subroutine coord_cart (mu, o_m, p, v)
+
+! This routine transforms delaunay variables into cartisian
+! variables.
+!
+! ANGLES ARE GIVEN IN RADIAN !!!!
+!
+! \subsection{Arguments}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|a, e, inc, node, peri, m| = osculating elements \\
+! \verb|x, y, z, vx, vy, vz| = cartesian variables: $X, Y, Z, Px, Py, Pz$
+! \end{verse}
+!
+! Angles are in [radian]
+!
+! \subsubsection{Declarations}
+!
+!f2py intent(in) mu
+!f2py intent(in) o_m
+!f2py intent(out) p
+!f2py intent(out) v
+    implicit none
+
+    type(t_orb_m), intent(in) :: o_m
+    type(t_v3d), intent(out) :: p, v
+    real (kind=8), intent(in) :: mu
+
+! \subsection{Variables}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|cos_e, sin_e, cos_i, sin_i| = sinus and cosines of $E$ and
+!      $i$ \\
+! \verb|delau| = Delaunay variables: $l, \cos(g), \sin(g), \cos(h),
+!      \sin(h), L, G, H$ \\
+! \verb|e| = eccentric anomaly \\
+! \verb|mat| = rotation matrix \\
+! \verb|q_vec, qp| = $q$ and $\dot q$ \\
+! \verb|tmp| = temporary variable
+! \end{verse}
+!
+! \subsubsection{Declarations}
+    integer :: i
+    real (kind=8) :: delau(8), cos_e, cos_i, e, mat(3,3), q_vec(2), qp(2), &
+         sin_e, sin_i, tmp, signe, f, de, fp, fpp, fppp
+
+! Computation of sinus and cosines of angles.
+
+    signe = 1.d0
+    if (o_m%a .lt. 0.d0) signe = -1.d0
+    cos_i = dcos(o_m%inc)
+    sin_i = dsqrt(1.d0 - cos_i**2)
+    delau(2) = dcos(o_m%peri)
+    delau(3) = dsin(o_m%peri)
+    delau(4) = dcos(o_m%node)
+    delau(5) = dsin(o_m%node)
+    delau(1) = o_m%m - int(o_m%m/TwoPi)*TwoPi
+    delau(6) = signe*dsqrt(mu*o_m%a*signe)
+    delau(7) = abs(delau(6))*dsqrt((1.d0 - o_m%e**2)*signe)
+
+! Rotation matrix.
+! The rotation matrix is the composition of 3 matrices: $R_{xq} =
+!  R_3(-h) \cdot R_1(-i) \cdot R_3(-g)$:
+! \begin{displaymath}
+!     R_{xq} = \left(\matrix{
+!       \cos(h)\cos(g)-\frac{H}{G}\sin(h)\sin(g)&
+!       -\cos(h)\sin(g)-\frac{H}{G}\sin(h)\cos(g)&
+!       \sqrt{1-\frac{H^2}{G^2}}\sin(h) \cr
+!       \sin(h)\cos(g)+\frac{H}{G}\cos(h)\sin(g)&
+!       -\sin(h)\sin(g)+\frac{H}{G}\cos(h)\cos(g)&
+!       -\sqrt{1-\frac{H^2}{G^2}}\cos(h) \cr
+!       \sqrt{1-\frac{H^2}{G^2}}\sin(g)&
+!       \sqrt{1-\frac{H^2}{G^2}}\cos(g)&
+!       \frac{H}{G} \cr}\right);
+! \end{displaymath}
+
+    mat(1,1) = delau(4)*delau(2) - cos_i*delau(5)*delau(3)
+    mat(1,2) = -delau(4)*delau(3) - cos_i*delau(5)*delau(2)
+    mat(2,1) = delau(5)*delau(2) + cos_i*delau(4)*delau(3)
+    mat(2,2) = -delau(5)*delau(3) + cos_i*delau(4)*delau(2)
+    mat(3,1) = sin_i*delau(3)
+    mat(3,2) = sin_i*delau(2)
+
+! Eccentric anomaly.
+! We solve iteratively the equation:
+! \begin{displaymath}
+!     E - e \sin(E) = l
+! \end{displaymath}
+! using the accelerated Newton's method (see Danby).
+
+    e = delau(1) + sign(.85d0, dsin(delau(1)))*o_m%e
+    i = 0
+1000 continue
+    sin_e = o_m%e*dsin(e)
+    f = e - sin_e - delau(1)
+    if (dabs(f) .gt. 1.d-14) then
+       cos_e = o_m%e*dcos(e)
+       fp = 1.d0 - cos_e
+       fpp = sin_e
+       fppp = cos_e
+       de = -f/fp
+       de = -f/(fp + de*fpp/2.d0)
+       de = -f/(fp + de*fpp/2.d0 + de*de*fppp/6.d0)
+       e = e + de
+       i = i + 1
+       if (i .lt. 20) goto 1000
+       write (6, *) 'COORD_CART: No convergence: ', i, f
+       write (6, *) mu, e, de
+       write (6, *) o_m%a, o_m%e, o_m%inc
+       write (6, *) o_m%node, o_m%peri, o_m%m
+       stop
+    end if
+1100 continue
+
+! Coordinates relative to the orbit.
+! The cartisian coordinate are given by $\vec X = R_{xq} \vec q$
+! and $\vec P = R_{xq} \dot{\vec q}$, where:
+! \begin{eqnarray*}
+!     \vec q & = & \left(\frac{L^2}{\mu}(\cos(E) - e),
+!                        \frac{GL}{\mu}\sin(E), 0\right), \\
+!     \dot{\vec q} & = & \frac{\mu}{L(1 - e\cos(E))}
+!                  \left(-\sin(E), \frac{G}{L}\cos(E), 0\right)
+! \end{eqnarray*}
+
+    cos_e = dcos(e)
+    sin_e = dsin(e)
+    q_vec(1) = delau(6)**2*(cos_e - o_m%e)/mu
+    q_vec(2) = delau(7)*delau(6)*sin_e/mu
+    tmp = mu/(delau(6)*(1.d0 - o_m%e*cos_e))
+    qp(1) = -sin_e*tmp
+    qp(2) = delau(7)*cos_e*tmp/delau(6)
+
+! Cartisian coordinates
+
+    p%x = mat(1,1)*q_vec(1) + mat(1,2)*q_vec(2)
+    p%y = mat(2,1)*q_vec(1) + mat(2,2)*q_vec(2)
+    p%z = mat(3,1)*q_vec(1) + mat(3,2)*q_vec(2)
+    v%x = mat(1,1)*qp(1) + mat(1,2)*qp(2)
+    v%y = mat(2,1)*qp(1) + mat(2,2)*qp(2)
+    v%z = mat(3,1)*qp(1) + mat(3,2)*qp(2)
+
+    return
+  end subroutine coord_cart
+
+! \subroutine{pos\_cart}
+
+  subroutine pos_cart (o_m, p)
+
+! This routine transforms delaunay variables into cartisian
+! variables, positions only.
+!
+! \subsection{Arguments}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|a, e, inc, node, peri, m| = osculating elements \\
+! \verb|x, y, z| = cartesian variables: $X, Y, Z$
+! \end{verse}
+!
+! Angles are in [radian]
+!
+! \subsubsection{Declarations}
+!
+!f2py intent(in) o_m
+!f2py intent(out) p
+    implicit none
+
+    type(t_orb_m), intent(in) :: o_m
+    type(t_v3d), intent(out) :: p
+
+! \subsection{Variables}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|cos_e, sin_e, cos_i, sin_i| = sinus and cosines of $E$ and
+!      $i$ \\
+! \verb|delau| = Delaunay variables: $l, \cos(g), \sin(g), \cos(h),
+!      \sin(h), L, G, H$ \\
+! \verb|e| = eccentric anomaly \\
+! \verb|mat| = rotation matrix \\
+! \verb|q_vec| = $q$ \\
+! \end{verse}
+!
+! \subsubsection{Declarations}
+    integer :: i
+    real (kind=8) :: delau(8), cos_e, cos_i, e, mat(3,3), q_vec(2), &
+         sin_e, sin_i, signe, f, de, fp, fpp, fppp
+
+! Computation of sinus and cosines of angles.
+
+    signe = 1.d0
+    if (o_m%a .lt. 0.d0) signe = -1.d0
+    cos_i = dcos(o_m%inc)
+    sin_i = dsqrt(1.d0 - cos_i**2)
+    delau(2) = dcos(o_m%peri)
+    delau(3) = dsin(o_m%peri)
+    delau(4) = dcos(o_m%node)
+    delau(5) = dsin(o_m%node)
+    delau(1) = o_m%m - int(o_m%m/TwoPi)*TwoPi
+    delau(6) = signe*dsqrt(o_m%a*signe)
+    delau(7) = abs(delau(6))*dsqrt((1.d0 - o_m%e**2)*signe)
+
+! Rotation matrix.
+! The rotation matrix is the composition of 3 matrices: $R_{xq} =
+!  R_3(-h) \cdot R_1(-i) \cdot R_3(-g)$:
+! \begin{displaymath}
+!     R_{xq} = \left(\matrix{
+!       \cos(h)\cos(g)-\frac{H}{G}\sin(h)\sin(g)&
+!       -\cos(h)\sin(g)-\frac{H}{G}\sin(h)\cos(g)&
+!       \sqrt{1-\frac{H^2}{G^2}}\sin(h) \cr
+!       \sin(h)\cos(g)+\frac{H}{G}\cos(h)\sin(g)&
+!       -\sin(h)\sin(g)+\frac{H}{G}\cos(h)\cos(g)&
+!       -\sqrt{1-\frac{H^2}{G^2}}\cos(h) \cr
+!       \sqrt{1-\frac{H^2}{G^2}}\sin(g)&
+!       \sqrt{1-\frac{H^2}{G^2}}\cos(g)&
+!       \frac{H}{G} \cr}\right);
+! \end{displaymath}
+
+    mat(1,1) = delau(4)*delau(2) - cos_i*delau(5)*delau(3)
+    mat(1,2) = -delau(4)*delau(3) - cos_i*delau(5)*delau(2)
+    mat(2,1) = delau(5)*delau(2) + cos_i*delau(4)*delau(3)
+    mat(2,2) = -delau(5)*delau(3) + cos_i*delau(4)*delau(2)
+    mat(3,1) = sin_i*delau(3)
+    mat(3,2) = sin_i*delau(2)
+
+! Eccentric anomaly.
+! We solve iteratively the equation:
+! \begin{displaymath}
+!     E - e \sin(E) = l
+! \end{displaymath}
+! using the accelerated Newton's method (see Danby).
+
+    e = delau(1) + sign(.85d0, dsin(delau(1)))*o_m%e
+    i = 0
+1000 continue
+    sin_e = o_m%e*dsin(e)
+    f = e - sin_e - delau(1)
+    if (dabs(f) .gt. 1.d-14) then
+       cos_e = o_m%e*dcos(e)
+       fp = 1.d0 - cos_e
+       fpp = sin_e
+       fppp = cos_e
+       de = -f/fp
+       de = -f/(fp + de*fpp/2.d0)
+       de = -f/(fp + de*fpp/2.d0 + de*de*fppp/6.d0)
+       e = e + de
+       i = i + 1
+       if (i .lt. 20) goto 1000
+       write (6, *) 'POS_CART: No convergence: ', i, f
+       write (6, *) e, de
+       write (6, *) o_m%a, o_m%e, o_m%inc
+       write (6, *) o_m%node, o_m%peri, o_m%m
+       stop
+    end if
+1100 continue
+
+! Coordinates relative to the orbit.
+! The cartisian coordinate are given by $\vec X = R_{xq} \vec q$
+! and $\vec P = R_{xq} \dot{\vec q}$, where:
+! \begin{eqnarray*}
+!     \vec q & = & \left(\frac{L^2}{\mu}(\cos(E) - e),
+!                        \frac{GL}{\mu}\sin(E), 0\right), \\
+!     \dot{\vec q} & = & \frac{\mu}{L(1 - e\cos(E))}
+!                  \left(-\sin(E), \frac{G}{L}\cos(E), 0\right)
+! \end{eqnarray*}
+
+    cos_e = dcos(e)
+    sin_e = dsin(e)
+    q_vec(1) = delau(6)**2*(cos_e - o_m%e)
+    q_vec(2) = delau(7)*delau(6)*sin_e
+
+! Cartisian coordinates
+
+    p%x = mat(1,1)*q_vec(1) + mat(1,2)*q_vec(2)
+    p%y = mat(2,1)*q_vec(1) + mat(2,2)*q_vec(2)
+    p%z = mat(3,1)*q_vec(1) + mat(3,2)*q_vec(2)
+
+    return
+  end subroutine pos_cart
+
+! \subroutine{osc\_el}
+
+  subroutine osc_el (mu, p, v, o_m)
+
+! This routine transforms cartisian variables into delaunay
+! variables.
+!
+! \subsection{Arguments}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|a, e, inc, node, peri, m| = osculating elements \\
+! \verb|cart| = cartesian variables: $X, Y, Z, Px, Py, Pz$
+! \end{verse}
+!
+! \subsubsection{Declarations}
+!f2py intent(in) mu
+!f2py intent(in) p
+!f2py intent(in) v
+!f2py intent(out) o_m
+    implicit none
+
+    type(t_v3d), intent(in) :: p, v
+    type(t_orb_m), intent(out) :: o_m
+    real (kind=8), intent(in) :: mu
+
+! \subsection{Variables}
+! \subsubsection{Definitions}
+! \begin{verse}
+! \verb|cos_i, sin_i| = sinus and cosines of $i$ \\
+! \verb|delau| = Delaunay variables:  $l, \cos(g), \sin(g), \cos(h),
+!      \sin(h), L, G, H$ \\
+! \verb|e| = eccentric anomaly \\
+! \verb|f| = $f$ true anomaly \\
+! \verb|g| = $g$ argument of pericenter \\
+! \verb|h_vec| = $\vec h = \vec X \times \vec P$ \\
+! \verb|p_vec| = $\vec p = -\mu \frac{\vec X}{r}
+!      - \vec h \times \vec P$ \\
+! \verb|r| = radial distance \\
+! \verb|tmp1, tmp2| = temporary variables \\
+! \verb|v2| = velocity squared
+! \end{verse}
+!
+! \subsubsection{Declarations}
+    real (kind=8) :: delau(8), e, f, h_vec(3), p_vec(3), &
+         r, tmp1, tmp2, v2, signe
+
+! Computation of angular momentum and eccentricity vector.
+! \begin{eqnarray*}
+!     \vec h & = & \vec X \times \vec P, \\
+!     \vec p & = & -\mu \frac{\vec X}{|\vec X|}
+!                  - \vec h \times \vec P
+! \end{eqnarray*}
+
+    h_vec(1) = p%y*v%z - p%z*v%y
+    h_vec(2) = p%z*v%x - p%x*v%z
+    h_vec(3) = p%x*v%y - p%y*v%x
+    r = 1.d0/dsqrt(p%x**2 + p%y**2 + p%z**2)
+    p_vec(1) = -mu*p%x*r - h_vec(2)*v%z + h_vec(3)*v%y
+    p_vec(2) = -mu*p%y*r - h_vec(3)*v%x + h_vec(1)*v%z
+    p_vec(3) = -mu*p%z*r - h_vec(1)*v%y + h_vec(2)*v%x
+
+! Computation of momenta.
+! \begin{eqnarray*}
+!     L & = & \mu\sqrt{\frac{1}
+!                      {\frac{2\mu}{|\vec X|}-|\vec P|^2}}, \\
+!     G & = & |\vec h|, \\
+!     H & = &  h_z
+! \end{eqnarray*}
+
+    v2 = v%x**2 + v%y**2 + v%z**2
+    tmp1 = 2.d0*mu*r - v2
+    signe = 1.d0
+    if (tmp1 .lt. 0.d0) signe = -1.d0
+    delau(6) = signe*mu/dsqrt(signe*tmp1)
+    delau(7) = h_vec(1)**2 + h_vec(2)**2 + h_vec(3)**2
+    delau(8) = h_vec(3)
+    o_m%e = dsqrt(dmax1(mu**2 - delau(7)*tmp1, 0.d0))/mu
+    delau(7) = dsqrt(delau(7))
+
+    if ((p%z .eq. 0.d0) .and. (v%z .eq. 0.d0)) then
+       delau(4) = 1.d0
+       delau(5) = 0.d0
+       tmp1 = 1.d0/dsqrt(p_vec(1)**2 + p_vec(2)**2)
+       delau(2) = p_vec(1)*tmp1
+       delau(3) = p_vec(2)*tmp1
+    else
+
+! Longitude of node.
+! \begin{eqnarray*}
+!     \cos(h) & = & -\frac{h_y}{\sqrt{h_x^2 + h_y^2}}, \\
+!     \sin(h) & = & \frac{h_x}{\sqrt{h_x^2 + h_y^2}}
+! \end{eqnarray*}
+
+       tmp1 = 1.d0/dsqrt(h_vec(1)**2 + h_vec(2)**2)
+       delau(4) = -h_vec(2)*tmp1
+       delau(5) = h_vec(1)*tmp1
+
+! Argument of pericenter.
+! Let us call $\vec N$ the vector derived from $\vec h$, pointing
+! to the ascending node:
+! \begin{displaymath}
+!     \vec N = \left(-h_y, h_x, 0\right)
+! \end{displaymath}
+! From this, we get:
+! \begin{eqnarray*}
+!     \cos(g) & = & \frac{\vec N \cdot \vec p}{|\vec N||\vec p|}, \\
+!     \sin(g) & = & \frac{\vec N \times \vec p}{|\vec N||\vec p|}
+!                   \cdot \frac{\vec h}{|\vec h|}
+! \end{eqnarray*}
+
+       tmp2 = 1.d0/dsqrt(p_vec(1)**2 + p_vec(2)**2 + p_vec(3)**2)
+       delau(2) = (h_vec(1)*p_vec(2) - h_vec(2)*p_vec(1))*tmp1*tmp2
+       delau(3) = ((h_vec(1)**2 + h_vec(2)**2)*p_vec(3) &
+            - h_vec(3)*(h_vec(1)*p_vec(1) + h_vec(2)*p_vec(2))) &
+            *tmp1*tmp2/delau(7)
+    end if
+
+! Mean anomaly
+! We define $\vec X_{orb} = R_1(i) \cdot R_3(h) \vec X$. It turns
+! out that $\vec X_{orb} = (r \cos(g+f), r \sin(g+f), 0)$. Hence:
+! \begin{eqnarray*}
+!     \cos(g+f) & = & \cos(h) X + \sin(h) Y, \\
+!     \sin(g+f) & = & \cos(i) \left(\cos(h) Y - \sin(h) X\right)
+!                   + \sin(i) Z
+! \end{eqnarray*}
+! Furthermore, we have the relation:
+! \begin{displaymath}
+!     \tan(\frac{E}{2}) = \sqrt{\frac{1 - e}{1 + e}}
+!                         \tan(\frac{f}{2})
+! \end{displaymath}
+! and finally:
+! \begin{displaymath}
+!     l = E - e \sin(E)
+! \end{displaymath}
+
+    tmp1 = (p%x*p_vec(1) + p%y*p_vec(2) + p%z*p_vec(3))
+    tmp2 = ((p%z*p_vec(2) - p%y*p_vec(3))*h_vec(1) &
+         + (p%x*p_vec(3) - p%z*p_vec(1))*h_vec(2) &
+         + (p%y*p_vec(1) - p%x*p_vec(2))*h_vec(3)) &
+         /delau(7)
+    f = datan2(tmp2, tmp1)
+    e = 2.d0*datan(dsqrt(signe*(1.d0 - o_m%e)/(1.d0 + o_m%e))*dtan(f/2.d0))
+    o_m%m = e - o_m%e*dsin(e)
+    o_m%node = datan2(delau(5), delau(4))
+    o_m%peri = datan2(delau(3), delau(2))
+    o_m%a = signe*delau(6)**2/mu
+    o_m%inc = dacos(dmax1(dmin1(delau(8)/delau(7),1.d0),-1.d0))
+
+    return
+  end subroutine osc_el
+
+end module elemutils
diff --git a/Commons/ioutils.f95 b/Commons/ioutils.f95
new file mode 100644
index 0000000..1d568e5
--- /dev/null
+++ b/Commons/ioutils.f95
@@ -0,0 +1,141 @@
+module ioutils
+
+  use datadec
+
+contains
+
+  subroutine trim (base_name, i1, i2, finished, len)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine trims the input character string 'base_name' and returns
+! the 
+!
+! Author: Jean-Marc Petit
+! version 1: December 2019
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     base_name: Input string with file name in it (CH)
+!     len   : Length of input string (I4)
+!
+! OUPUT
+!     i1    : Index of first character of file name (I4)
+!     i2    : Index of last character of file name (I4)
+!     finished: Whether it reached the end of the string when searching
+!               for first character
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) base_name
+!f2py intent(out) i1
+!f2py intent(out) i2
+!f2py intent(out) finished
+!f2py intent(in) len
+    implicit none
+
+    integer, intent(in) :: len
+    integer, intent(out) :: i1, i2
+    character(*), intent(in) :: base_name
+    logical, intent(out) :: finished
+
+    finished = .false.
+    i1 = 1
+100 continue
+    if ((base_name(i1:i1) .eq. char(0)) &
+         .or. (base_name(i1:i1) .eq. char(9)) &
+         .or. (base_name(i1:i1) .eq. ' ')) then
+       i1 = i1 + 1
+       if (i1 .eq. len) then
+          finished = .true.
+          return
+       end if
+       goto 100
+    end if
+101 continue
+
+    i2 = len
+110 continue
+    if ((base_name(i2:i2) .eq. char(0)) &
+         .or. (base_name(i2:i2) .eq. char(9)) &
+         .or. (base_name(i2:i2) .eq. ' ')) then
+       if (i2 .eq. i1) goto 111
+       i2 = i2 - 1
+       goto 110
+    end if
+111 continue
+
+    return
+  end subroutine trim
+
+  subroutine read_file_name (base_name, i1, i2, finished, len)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine trims the input character string 'base_name' and returns
+! the 
+!
+! Author: Jean-Marc Petit
+! version 1: September 2017
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     base_name: Input string with file name in it (CH)
+!     len   : Length of input string (I4)
+!
+! OUPUT
+!     i1    : Index of first character of file name (I4)
+!     i2    : Index of last character of file name (I4)
+!     finished: Whether it reached the end of the string when searching
+!               for first character
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) base_name
+!f2py intent(out) i1
+!f2py intent(out) i2
+!f2py intent(out) finished
+!f2py intent(in) len
+    implicit none
+
+    integer, intent(in) :: len
+    integer, intent(out) :: i1, i2
+    character(*), intent(in) :: base_name
+    logical,intent(out) :: finished
+
+    finished = .false.
+    i1 = 1
+100 continue
+    if ((base_name(i1:i1) .eq. char(0)) &
+         .or. (base_name(i1:i1) .eq. char(9)) &
+         .or. (base_name(i1:i1) .eq. ' ')) then
+       i1 = i1 + 1
+       if (i1 .eq. len) then
+          finished = .true.
+          return
+       end if
+       goto 100
+    end if
+101 continue
+
+    i2 = i1 + 1
+110 continue
+    if ((base_name(i2:i2) .ne. char(0)) &
+         .and. (base_name(i2:i2) .ne. char(9)) &
+         .and. (base_name(i2:i2) .ne. ' ')) then
+       if (i2 .eq. len) goto 111
+       i2 = i2 + 1
+       goto 110
+    end if
+    i2 = i2 - 1
+111 continue
+
+    return
+  end subroutine read_file_name
+
+  character(100) function strip_comment(str)
+    character (*), intent(in) :: str
+    integer c_idx, i1, i2
+    logical finished
+    strip_comment = str
+    c_idx = index(strip_comment, '!')
+    if (c_idx /= 0) then
+       strip_comment = strip_comment(1:c_idx-1)
+    end if
+    call trim(strip_comment, i1, i2, finished, len(strip_comment))
+    strip_comment = strip_comment(i1:i2)
+
+  end function strip_comment
+
+end module ioutils
+
diff --git a/Commons/kind_map b/Commons/kind_map
new file mode 100755
index 0000000..1724b5b
--- /dev/null
+++ b/Commons/kind_map
@@ -0,0 +1,18 @@
+{
+ 'real':     {   '' : 'float',
+                '4' : 'float',
+              'isp' : 'float',
+                '8' : 'double',
+               'dp' : 'double',
+              'idp' : 'double',
+              'sng_ad' : 'float',
+              'dbl_ad' : 'double'},
+ 'complex' : {   '' : 'complex_float',
+ 	            '8' : 'complex_double',
+ 	           '16' : 'complex_long_double',
+ 	           'dp' : 'complex_double'},
+ 'integer' : {  '2' : 'int',
+                '4' : 'int',
+	        '8' : 'long_long',
+	       'dp' : 'long_long' },
+}
diff --git a/Commons/modelutils.f95 b/Commons/modelutils.f95
new file mode 100644
index 0000000..2c756a7
--- /dev/null
+++ b/Commons/modelutils.f95
@@ -0,0 +1,654 @@
+module modelutils
+
+  use datadec
+
+  interface
+     function func(nparam, param, inc)
+       real (kind=8) :: func
+       integer (kind=4), intent(in) :: nparam
+       real (kind=8), intent(in) :: param(*), inc
+     end function func
+  end interface
+
+  type func_holder
+     procedure(func), pointer, nopass :: f_ptr => null()
+  end type func_holder
+
+contains
+  subroutine incdism (seed, nparam, param, incmin, incmax, inc, &
+       dist, ierr, func)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine draws randomly a variable according to probability
+! density \verb|func| with parameters \verb|param|. Same as previous
+! routine, but can remember up to 10 different distributions at a time.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : October 2006
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     seed  : Random number generator seed (I4)
+!     nparam: Number of parameters (I4)
+!     param : Parameters (n*R8)
+!     incmin: Minimum inclination (R8)
+!     incmax: Maximum inclination (R8)
+!     dist  : index of the selected distribution (I4)
+!     func  : probability density function
+!
+! OUTPUT
+!     inc   : Inclination (R8)
+!     ierr  : Error code
+!                0 : nominal run
+!               10 : wrong input data
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in,out) seed
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: param
+!f2py intent(in) incmin
+!f2py intent(in) incmax
+!f2py intent(in) dist
+!f2py intent(out) inc
+!f2py intent(out) ierr
+    implicit none
+
+    integer (kind=4), intent(in) :: nparam, dist
+    integer (kind=4), intent(inout) :: seed
+    integer (kind=4), intent(out) :: ierr
+    real (kind=8), intent(in) :: param(nparmax), incmin, incmax
+    real (kind=8), intent(out) :: inc
+    type(func_holder), intent(in) :: func
+    integer :: i, ilo, ihi, di
+    real (kind=8) :: random
+    integer (kind=4), parameter :: np = 16384, nd = 10
+    real (kind=8), save :: proba(0:np,nd), inctab(0:np,nd)
+    logical, save :: first(nd)
+
+    data first /.true.,.true.,.true.,.true.,.true., &
+         .true.,.true.,.true.,.true.,.true./
+
+    ierr = 0
+    di = min(nd, dist)
+    if (first(di)) then
+       inctab(0,di) = incmin
+       proba(0,di) = 0.d0
+       do i = 1, np
+          inctab(i,di) = incmin + dfloat(i)*(incmax-incmin)/dfloat(np)
+          proba(i,di) = func%f_ptr(nparam, param(1:nparam), inctab(i,di)) + proba(i-1,di)
+       end do
+       do i = 1, np
+          proba(i,di) = proba(i,di)/proba(np,di)
+       end do
+       first(di) = .false.
+    end if
+
+    random = ran_3(seed)
+    inc = interp(proba(0,di), inctab(0,di), random, np+1)
+
+    return
+  end subroutine incdism
+
+  real (kind=8) function Variably_tapered(h, params)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine returns the number of objects brighter or equal to H
+! following an exponentially tapered exponential with parameters in
+! params.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : October 2021
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     seed  : Random number generator seed (I4)
+!     params: parameters for the distribution (4*R8)
+!
+! OUTPUT
+!     Variably_tapered : Random value of H (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) h
+!f2py intent(in) params
+    implicit none
+
+    real (kind=8), intent(in) :: params(4), h
+
+    Variably_tapered = 10.d0**(params(3)*3.d0*(h-params(1))/5.d0) &
+         *exp(-10.d0**(-params(4)*3.d0*(h-params(2))/5.d0))
+
+    return
+  end function Variably_tapered
+
+  real (kind=8) function Variably_tapered_diff(h, params)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine returns the differential number of objects at mag H per unit
+! mag following an exponentially tapered exponential with parameters in
+! params.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : August 2023
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     seed  : Random number generator seed (I4)
+!     params: parameters for the distribution (4*R8)
+!
+! OUTPUT
+!     Variably_tapered_diff : Random value of H (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) h
+!f2py intent(in) params
+    implicit none
+
+    real (kind=8), intent(in) :: params(4), h
+
+    Variably_tapered_diff = (log(10.0d0)*3.0d0/5.0d0) &
+         *10.0d0**(params(3)*3.0d0*(h-params(1))/5.0d0) &
+         *(params(3) + params(4)*10.0d0**(-params(4)*3.0d0*(h-params(2))/5.0d0)) &
+         *exp(-10.0d0**(-params(4)*3.0d0*(h-params(2))/5.0d0))
+
+    return
+  end function Variably_tapered_diff
+
+  real (kind=8) function offgau (nparam, param, inc)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine returns the unnormalized inclination "probability"
+! density as a non-zero centered gaussian.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : August 2014
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     nparam: Number of parameters (I4)
+!     param : Parameters (n*R8)
+!     inc   : Inclination [rad] (R8)
+!
+! OUPUT
+!     offgau: Value of the probability (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: param
+!f2py intent(in) inc
+    implicit none
+
+    integer (kind=4), intent(in) :: nparam
+    real (kind=8), intent(in) :: param(*), inc
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, TwoPi = 2.0d0*Pi
+    real (kind=8) :: fe, s1, angle, t0, t1, t3
+
+    if (nparam .ne. 2) stop
+    t0 = param(1)
+    s1 = param(2)
+    t1 = 2.*s1**2
+    angle = mod(inc, TwoPi)
+    if (angle .gt. Pi) angle = angle - TwoPi
+    t3 = -(t0-angle)**2
+    if (t3 .lt. -300.d0*t1) then
+       fe = 0.d0
+    else
+       fe = exp(t3/t1)
+    end if
+    offgau = dsin(angle)*fe
+
+    return
+  end function offgau
+
+  real (kind=8) function cold_inc_sq (nparam, param, inc)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine returns the unnormalized inclination "probability"
+! density for cold objects.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : April 2023, 7th
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     nparam: Number of parameters (I4)
+!     param : Parameters (n*R8)
+!     inc   : Inclination [rad] (R8)
+!
+! OUPUT
+!     cold_inc_sq: Value of the probability (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: param
+!f2py intent(in) inc
+    implicit none
+
+    integer (kind=4), intent(in) :: nparam
+    real (kind=8), intent(in) :: param(*), inc
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, &
+         TwoPi = 2.0d0*Pi, drad = Pi/180.0d0
+    real (kind=8), save :: angle, a0, p
+    logical, save :: first
+
+    data a0 /5.0d0/, p /1.0d0/
+    data first /.true./
+
+    if (first) then
+       a0 = a0*drad
+       if (nparam .ge. 1) then
+          a0 = param(1)
+       end if
+       if (nparam .ge. 2) then
+          p = param(2)
+       end if
+       first = .false.
+    end if
+
+    angle = mod(inc, TwoPi)
+    if ((angle .gt. 0.0d0) .and. (angle .lt. a0)) then
+       cold_inc_sq = angle**p*(a0**p - angle**p)
+    else
+       cold_inc_sq = 0.0d0
+    end if
+
+    return
+  end function cold_inc_sq
+
+  real (kind=8) function warm_inc_sq (nparam, param, inc)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine returns the unnormalized inclination "probability"
+! density for warm objects.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : April 2023, 7th
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     nparam: Number of parameters (I4)
+!     param : Parameters (n*R8)
+!     inc   : Inclination [rad] (R8)
+!
+! OUPUT
+!     warm_inc_sq: Value of the probability (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: param
+!f2py intent(in) inc
+    implicit none
+
+    integer (kind=4), intent(in) :: nparam
+    real (kind=8), intent(in) :: param(*), inc
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, &
+         TwoPi = 2.0d0*Pi, drad = Pi/180.0d0
+    real (kind=8), save :: angle, a0, p
+    logical, save :: first
+
+    data a0 /12.0d0/, p /1.0d0/
+    data first /.true./
+
+    if (first) then
+       a0 = a0*drad
+       if (nparam .ge. 1) then
+          a0 = param(1)
+       end if
+       if (nparam .ge. 2) then
+          p = param(2)
+       end if
+       first = .false.
+    end if
+
+    angle = mod(inc, TwoPi)
+    if ((angle .gt. 0.0d0) .and. (angle .lt. a0)) then
+       warm_inc_sq = angle**p*(a0**p - angle**p)
+    else
+       warm_inc_sq = 0.0d0
+    end if
+
+    return
+  end function warm_inc_sq
+
+  real (kind=8) function H_dist_cold_2(seed, nparam, hparam)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine draws randomly a number according to the cold belt H_r
+! distribution, represented by an exponentially tapered exponential,
+! with parameters I've fitted on the OSSOS cold belt data.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : October 2021
+! Version 2 : December 2021- updated parameter values.
+! Version 3 : January 2022 - forcing slope at small sizes.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     seed  : Random number generator seed (I4)
+!     nparam: Number of parameters (I4)
+!     hparam: Parameters for asymptotic slope(s) (n*R8)
+!             hparam(1): start of asymptote
+!             hparam(2): contrast at start of asymptote
+!             hparam(3): slope of asymptote
+!             hparam(4): end of asymptote
+!
+! OUTPUT
+!     H_dist_cold : Random value of H (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in,out) seed
+    implicit none
+
+    integer (kind=4), parameter :: np = 16384
+    integer (kind=4), intent(inout) :: seed
+    integer (kind=4), intent(in) :: nparam
+    real (kind=8), intent(in) :: hparam(4)
+    integer (kind=4) :: i
+    real (kind=8) :: params(4), random, h_min, h_max, n, c
+    real (kind=8), save :: proba(0:np), htab(0:np)
+    logical, save :: first
+
+    data first /.true./
+    data params /-2.6d0, 8.1d0, 0.666d0, 0.42d0/
+    data h_min /4.6d0/
+
+    if (first) then
+       h_max = hparam(nparam)
+       htab(0) = h_min
+       proba(0) = 1.d-10
+       n = Variably_tapered(hparam(1), params)
+       c = hparam(2)
+       do i = 1, np
+          htab(i) = h_min + dfloat(i)*(h_max-h_min)/dfloat(np)
+          if (htab(i) .lt. hparam(1)) then
+             proba(i) = Variably_tapered(htab(i), params)
+          else
+             proba(i) = n &
+                  + n*c*(10.0d0**(hparam(3)*(htab(i)-hparam(1))) - 1.0d0)
+            end if
+       end do
+       do i = 0, np
+          proba(i) = proba(i)/proba(np)
+       end do
+       first = .false.
+    end if
+
+    random = ran_3(seed)
+    H_dist_cold_2 = interp(proba, htab, random, np+1)
+
+    return
+  end function H_dist_cold_2
+
+  subroutine H_diff_hot_5(nparam, hparam, np, hs, dist)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine computes the differential distribution of the hot belt H_r,
+! represented by an exponentially tapered exponential, with parameters
+! fitted on the OSSOS cold belt data, then scaled to hot.
+! This version provides a continuous differential function, except for the divot.
+!
+! This version has modified parameters to obtain a cumulative distribution
+! that looks like, and has the same normalisation as H_dist_hot_3.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : June 2024 - From H_dist_hot_4
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     nparam: Number of parameters (I4)
+!     hparam: Parameters for asymptotic slope(s) (n*R8)
+!             hparam(1): start of asymptote
+!             hparam(2): contrast at start of asymptote
+!             hparam(3): slope of asymptote
+!             hparam(4): end of asymptote
+!     np    : Number of points to return
+!     hs    : Values of H at which we want the distribution
+!
+! OUTPUT
+!     hs(0) : H_min
+!     dist  : Values of the cumulative distribution
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: hparam
+!f2py intent(in) np
+!f2py intent(in, out) hs
+!f2py intent(out) dist
+    implicit none
+
+    integer (kind=4), intent(in) :: nparam, np
+    real (kind=8), intent(in) :: hparam(*)
+    real (kind=8), intent(inout) :: hs(0:np)
+    real (kind=8), intent(out) :: dist(0:np)
+    integer (kind=4) :: i
+    real (kind=8), save :: params(4), h_min, h_max
+    real (kind=8), save :: a1, a2, a3, sl1, sl2, sl3, h1, h2, h3, scale
+
+    data params /-2.6d0, 8.1d0, 0.666d0, 0.42d0/
+    data h_min /-1.d0/
+    data sl1 /0.13d0/, sl2 /0.7d0/
+    data h1 /2.5d0/, h2 /5.8d0/
+    data scale /2.2d0/
+
+    h_max = hparam(nparam)
+    h3 = hparam(1)
+    a2 = scale*Variably_tapered_diff(h2, params)
+    a3 = hparam(2)*scale*Variably_tapered_diff(h3, params)
+    sl3 = hparam(3)
+    a1 = a2*10.0d0**(sl2*(h1-h2))
+! The normalisation is done with the exponentially tapered exponential,
+! as fitted on the OSSOS cold component, then scaled by 2. This
+! determines the normalisation of the exponential between H = h2
+! and H = h1
+! N(<H) = n2*10**(sl2*(H-h2))
+! Then, there is an excess divot at h1. See
+! [[file:///home/petit/Research/OSSOS/tes/OSSOSpapers/Papers/GlobalLuminosityFunction/CumDiffDistributions.org]]
+    ! for the appropriate formula.
+    do i = 0, np
+       if (hs(i) .le. h_min) then
+          dist(i) = 0.0d0
+       else if (hs(i) .le. h1) then
+          dist(i) = a1*10.0d0**(sl1*(hs(i)-h1))
+       else if (hs(i) .le. h2) then
+          dist(i) = a2*10.0d0**(sl2*(hs(i)-h2))
+       else if (hs(i) .le. h3) then
+          dist(i) = scale*Variably_tapered_diff(hs(i), params)
+       else if (hs(i) .le. h_max) then
+          dist(i) = a3*10.0d0**(sl3*(hs(i)-h3))
+       else
+          dist(i) = 0.0d0
+       end if
+    end do
+    
+    return
+  end subroutine H_diff_hot_5
+
+  real (kind=8) function H_draw_hot_5(seed, nparam, hparam)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine draws randomly a number according to the hot belt H_r
+! distribution, represented by a differntial exponentially tapered exponential,
+! with parameters fitted on the OSSOS cold belt data, then scaled to
+! hot.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : June 2024 - From H_dist_hot_4
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     seed  : Random number generator seed (I4)
+!     nparam: Number of parameters (I4)
+!     hparam: Parameters for asymptotic slope(s) (n*R8)
+!             hparam(1): start of asymptote
+!             hparam(2): contrast at start of asymptote
+!             hparam(3): slope of asymptote
+!             hparam(4): end of asymptote
+!
+! OUTPUT
+!     H_draw_hot_5 : Random value of H (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in,out) seed
+!f2py intent(in) nparam
+!f2py intent(in), depend(nparam) :: hparam
+    implicit none
+
+    integer (kind=4), parameter :: np = 16384
+    integer (kind=4), intent(inout) :: seed
+    integer (kind=4), intent(in) :: nparam
+    real (kind=8), intent(in) :: hparam(*)
+    integer (kind=4) :: i
+    real (kind=8), save :: random, h_min, h_max
+    real (kind=8), save :: proba(0:np), htab(0:np)
+    logical, save :: first
+
+    data first /.true./
+    data h_min /-1.d0/
+
+    if (first) then
+       h_max = hparam(nparam)
+       htab(0) = h_min
+       do i = 1, np
+          htab(i) = h_min + dfloat(i)*(h_max-h_min)/dfloat(np)
+       end do
+       call H_diff_hot_5(nparam, hparam, np, htab, proba)
+       proba(0) = 0.0d0
+       do i = 1, np
+          proba(i) = (proba(i)+proba(i-1))*(htab(i)-htab(i-1))/2.0d0 + proba(i-1)
+       end do
+       proba(0) = 1.0d-10
+       do i = 0, np
+          proba(i) = proba(i)/proba(np)
+       end do
+       first = .false.
+    end if
+
+    random = ran_3(seed)
+    H_draw_hot_5 = interp(proba, htab, random, np+1)
+
+  end function H_draw_hot_5
+
+  real (kind=8) function qhot (np, p, q)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+! This function returns the unnormalized inclination "probability" of having
+! perihelion distance "q"
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : April 2020
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+! INPUT
+!     np    : Number of parameters describing the distribution function (I4)
+!     p     : Array of parameters (np*R8)
+!     q     : Perihelion distance (R8)
+!
+! OUTPUT
+!     qhot  : Probability of q
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+! Set of F2PY directives to create a Python module
+!f2py intent(in) np
+!f2py intent(in) p
+!f2py intent(in) q
+    implicit none
+
+! Calling arguments
+    integer (kind=4), intent(in) :: np
+    real (kind=8), intent(in) :: p(*), q
+
+    qhot = 1./((1.+exp((p(3)-q)/p(4)))*(1.+exp((q-p(1))/p(2))))
+
+    return
+  end function qhot
+
+  real (kind=8) function interp (x, y, val, n)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This function linearly interpolates the function y(x) at value x=val.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : October 2006
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! INPUT
+!     x     : Abscissa of the function, sorted in ascending order (n*R8)
+!     y     : Values of the function (n*R8)
+!     val   : Value of x at which to interpolate (R8)
+!     n     : Size of x and y arrays (I4)
+!
+! OUTPUT
+!     interp: Interpolated value (R8)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) n
+!f2py intent(in), depend(n) :: x
+!f2py intent(in), depend(n) :: y
+!f2py intent(in) val
+    implicit none
+
+    integer (kind=4), intent(in) ::  n
+    real (kind=8), intent(in) :: x(*), y(*), val
+    integer ::  ilo, ihi, i
+
+    if (val .le. x(1)) then
+       interp = y(1)
+    else if (val .ge. x(n)) then
+       interp = y(n)
+    else
+       ilo = 1
+       ihi = n
+1000   continue
+       if (ihi - ilo .gt. 1) then
+          i = (ihi + ilo)/2
+          if (x(i) .lt. val) then
+             ilo = i
+          else if (x(i) .gt. val) then
+             ihi = i
+          else
+             interp = y(i)
+             return
+          end if
+          goto 1000
+       end if
+       interp = y(ilo) + (y(ihi) - y(ilo))*(val - x(ilo))/(x(ihi) - x(ilo))
+    end if
+
+    return
+  end function interp
+
+  real (kind=8) function ran_3(idum)
+!f2py intent(in,out) idum
+    INTEGER (KIND=4), intent(inout) :: idum
+    INTEGER (KIND=4), parameter :: MBIG=1000000000, MSEED=161803398, MZ=0
+    REAL (KIND=8), parameter :: FAC=1.d0/MBIG
+    INTEGER :: i,ii,k,mj,mk
+    INTEGER (KIND=4), save :: iff,inext,inextp,ma(55)
+    data iff /0/
+    if(idum.lt.0.or.iff.eq.0)then
+       iff=1
+       mj=abs(MSEED-abs(idum))
+       mj=mod(mj,MBIG)
+       ma(55)=mj
+       mk=1
+       do i=1,54
+          ii=mod(21*i,55)
+          ma(ii)=mk
+          mk=mj-mk
+          if(mk.lt.MZ)mk=mk+MBIG
+          mj=ma(ii)
+       end do
+       do k=1,4
+          do i=1,55
+             ma(i)=ma(i)-ma(1+mod(i+30,55))
+             if(ma(i).lt.MZ)ma(i)=ma(i)+MBIG
+          end do
+       end do
+       inext=0
+       inextp=31
+       idum=1
+    endif
+    inext=inext+1
+    if(inext.eq.56)inext=1
+    inextp=inextp+1
+    if(inextp.eq.56)inextp=1
+    mj=ma(inext)-ma(inextp)
+    if(mj.lt.MZ)mj=mj+MBIG
+    ma(inext)=mj
+    ran_3=mj*FAC
+    return
+  end function ran_3
+
+end module modelutils
diff --git a/Commons/rot.f95 b/Commons/rot.f95
new file mode 100644
index 0000000..83bc541
--- /dev/null
+++ b/Commons/rot.f95
@@ -0,0 +1,277 @@
+module rot
+
+  use datadec
+  use elemutils
+
+contains
+  subroutine ref_ecl(ieqec, v_in, v_out, eps, om, ierr)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine converts vectors back and forth between
+! given reference frame and ecliptic plane.
+! Reference frame is given by Omega (om), the node longitude (rotation
+! around Z axis of ecliptic) and Epsilon (eps), the inclination of the
+! reference frame (rotation around node axis of ecliptic).
+!
+!    ANGLE IN RADIAN !!!
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!
+!     Transformation of a vector v_in(3) from :
+!        given reference frame to ecliptic  : irot = +1
+!        ecliptic to given reference frame  : irot = -1
+!        at J2000.
+!
+!     The ecliptic is the so called 'conventional ecliptic'
+!     going through the origin of the ICRF  with the obliquity
+!     epsilon = 23d26'21".410 = 84381".41
+!     It differs by ~ 50 mas from the inertial mean ecliptic(s) of J2000.
+!
+!     One can call ref_ecl(ieqec,vv,vv,ierr)
+!
+!     Adapted from:
+!     F. Mignard  OCA/CERGA
+!     Version 1 : April 2003
+!
+!     J-M. Petit  UBC/CNRS
+!     Version 1 : June 2015
+!
+!***************************************************************
+! INPUT
+!     Ieqec    : +1 ==> from reference frame to ecliptic ; 
+!                -1 ==> from ecliptic to reference frame
+!     v_in     :  input vector v_in(3) in the initial frame
+!     eps      :  Epsilon, inclination of ref frame [rad]
+!     om       :  Omega, longitude of node [rad]
+!
+! OUTPUT
+!     v_out    :  output vector in the final frame v_out(3)
+!     ierr     :  ierr = 0   :: normal exit
+!                 ierr = 100 :: error ieqec neither 1 or -1 . 
+!
+!***************************************************************
+!f2py intent(in) ieqec
+!f2py intent(in) v_in
+!f2py intent(in) eps
+!f2py intent(in) om
+!f2py intent(out) v_out
+!f2py intent(out) ierr
+    implicit none
+
+    type(t_v3d), intent(in) :: v_in
+    type(t_v3d), intent(out) :: v_out
+    integer, intent(in) :: ieqec
+    integer, intent(out) :: ierr
+    real (kind=8), intent(in) :: eps, om
+! obliquity at J20000 in arcsec
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, &
+         secrad = Pi/180.d0/3600.d0
+    real (kind=8) :: ww(3), coseps, sineps, cosom, sinom
+
+    coseps = dcos(eps)
+    sineps = dsin(eps)
+    cosom = dcos(om)
+    sinom = dsin(om)
+
+! regular exit
+    ierr   = 0
+
+! to allow a call like ::  call ref_ecl(ieqec,vv,vv,ierr)
+    ww(1) = v_in%x
+    ww(2) = v_in%y
+    ww(3) = v_in%z
+
+    if (ieqec .eq. 1) then
+       v_out%x =   cosom*ww(1) - sinom*(coseps*ww(2) - sineps*ww(3))
+       v_out%y =   sinom*ww(1) + cosom*(coseps*ww(2) - sineps*ww(3))
+       v_out%z =   sineps*ww(2) + coseps*ww(3)
+    else if (ieqec .eq. -1) then
+       v_out%x =   cosom*ww(1) + sinom*ww(2)
+       v_out%y =   coseps*(-sinom*ww(1) + cosom*ww(2)) + sineps*ww(3)
+       v_out%z = - sineps*(-sinom*ww(1) + cosom*ww(2)) + coseps*ww(3)
+    else
+! anomalous exit ieqec not allowed
+       ierr     =   100
+    end if
+
+    return
+  end subroutine ref_ecl
+
+  subroutine ref_ecl_osc(ieqec, o_mi, o_mo, eps, om, ierr)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This routine converts osculating elements back and forth between
+! given reference frame and ecliptic plane.
+! Uses ref_ecl to do the work.
+! Reference frame is given by Omega (om), the node longitude (rotation
+! around Z axis of ecliptic) and Epsilon (eps), the inclination of the
+! reference frame (rotation around node axis of ecliptic).
+!
+! ANGLES ARE GIVEN IN RADIAN !!!!
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in) ieqec
+!f2py intent(in) o_mi
+!f2py intent(in) eps
+!f2py intent(in) om
+!f2py intent(out) o_mo
+!f2py intent(out) ierr
+    implicit none
+
+    type(t_orb_m), intent(in) :: o_mi
+    type(t_orb_m), intent(out) :: o_mo
+    integer, intent(in) :: ieqec
+    integer, intent(out) :: ierr
+    real (kind=8), intent(in) :: eps, om
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, TwoPi = 2.d0*Pi, &
+         drad = Pi/180.d0, mu = TwoPi**2
+    type(t_orb_m) :: o_md
+    type(t_v3d) :: posi, poso, veli, velo
+
+    o_md%a = o_mi%a
+    o_md%e = o_mi%e
+    o_md%inc = o_mi%inc
+    o_md%node = o_mi%node
+    o_md%peri = o_mi%peri
+    o_md%m = o_mi%m
+    call coord_cart (mu, o_md, posi, veli)
+    call ref_ecl (ieqec, posi, poso, eps, om, ierr)
+    call ref_ecl (ieqec, veli, velo, eps, om, ierr)
+    call osc_el (mu, poso, velo, o_mo)
+    call ztopi (o_mo%inc)
+    if (o_mo%inc .gt. Pi) o_mo%inc = o_mo%inc - Pi
+    call ztopi (o_mo%node)
+    call ztopi (o_mo%peri)
+    call ztopi (o_mo%m)
+
+    return
+  end subroutine ref_ecl_osc
+
+  subroutine forced_plane_damp(a, inc, ifd, Omfd)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+! This routine returns the inclination iforced and node Omforced of the
+! forced plane as a function of semimajor-axis in the region of the
+! main classical Kuiper belt, according to second order theory with all
+! 8 planets.
+!
+! This version damps the forced plane to the invariable plane according
+! to inclination.
+!
+! The fit is valid only between 35 au and 47.74 au (2:1 MMR).
+! Returns 0 for a < 35 au, and the invariable plane for a > 47.74 au
+!
+! Returns degrees.
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+!
+! J-M. Petit  Observatoire de Besancon
+! Version 1 : November 2021
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+! INPUT
+!     a     : semimajor-axis [au] (R8)
+!     inc   : Inclination [deg] (R8)
+!
+! OUTPUT
+!     ifd   : Inclination of forced plane [deg] (R8)
+!     Omfd  : Node of forced plane [deg] (R8)
+!
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
+!
+! Set of F2PY directives to create a Python module
+!
+!f2py intent(in) a
+!f2py intent(in) inc
+!f2py intent(out) ifd
+!f2py intent(out) Omfd
+    implicit none
+
+! Calling arguments
+    real (kind=8), intent(in) ::  a, inc
+    real (kind=8), intent(out) ::  ifd, Omfd
+
+! Internal variables
+    real (kind=8) :: ci0(4), ci1(3), ci2(3), ci3(3), co0(3), co1(3), co2(5), &
+         co3(5), alpha, beta, gamma, delta, om_lim_low, om_lim_high, damp, y
+    real (kind=8), parameter :: epsilon = 5713.86d0/3600.d0, &
+         omega = 387390.8d0/3600.d0, ce_damp = 16.d0, wi_damp = 6.d0
+
+    data &
+         ci0 /-0.115657583d0,34.8097343d0,7.79198557d-02,-1.06252408d0/, &
+         ci1 /-0.392018467d0, 40.5282974d0, 0.137285933/, &
+         ci2 /-0.391531527d0, 40.6837921d0, 0.190758109/, &
+         ci3 /0.391087621d0, 40.2941360d0, 0.146276891/, &
+         co0 /971.35006612732775d0, -50.061061665365997d0, &
+              0.74715152013989472d0/, &
+         co1 /4694.6567730091410d0, -249.62252879980477d0, &
+              3.4214148236506192d0/, &
+         co2 /11.7058372d0, -294.139587d0, 30.8862801d0, &
+              -1049.41772d0, 15.2022839d0/, &
+         co3 /30.4611244d0, -1203.70593d0, 2.47961617d0, &
+              -16.6130295d0, 302.805359d0/, &
+         alpha /1.d0/, &
+         om_lim_low /200.d0/, &
+         om_lim_high /20.d0/
+
+    common /om_lim_com/ om_lim_low, om_lim_high
+
+    damp(y) = 1.d0*(1.d0-tanh((y-ce_damp)/wi_damp))/2.d0
+
+    if (a .lt. 35.d0) then
+       ifd = 0.d0
+       Omfd = 0.d0
+    else if (a .lt. 37.d0) then
+       ifd = (ci0(1)/(a - ci0(2)) + ci0(3)*a + ci0(4))
+       Omfd = co0(1) + co0(2)*a + co0(3)*a*a
+    else if (a .lt. 39.0d0) then
+       ifd = 10.d0**(ci1(1)/(a - ci1(2)) + ci1(3))
+       Omfd = co1(1) + co1(2)*a + co1(3)*a*a
+    else if (a .lt. 40.0d0) then
+       ifd = 2.477d0
+       Omfd = (om_lim_low-163.187d0)/(40.0d0-39.d0)*(a-40.0d0) &
+            + om_lim_low
+    else if (a .lt. 41.9d0) then
+       ifd = 2.477d0
+       Omfd = (61.791d0-om_lim_high)/(41.9d0-40.0d0)*(a-40.0d0) &
+            + om_lim_high
+    else if (a .lt. 47.74d0) then
+       ifd = 10.d0**(ci3(1)/(a - ci3(2)) + ci3(3))
+       beta = -((co3(1) + co3(3))*a + co3(2) + co3(4))
+       gamma = (co3(1)*a + co3(2))*(co3(3)*a + co3(4)) - co3(5)
+       delta = max(0., beta**2 - 4.d0*alpha*gamma)
+       Omfd = (-beta - sqrt(delta))/(2.d0*alpha)
+    else
+       ifd = epsilon
+       Omfd = omega
+    end if
+    ifd = min(ifd, 40.d0)
+    ifd = epsilon + (ifd-epsilon)*damp(inc)
+    Omfd = omega + (Omfd-omega)*damp(inc)
+
+    return
+
+  end subroutine forced_plane_damp
+
+  subroutine ztopi (var)
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+! This subroutine resets var to be between 0 and 2Pi.
+!-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-
+!f2py intent(in,out) var
+    implicit none
+
+    real (kind=8), intent(inout) :: var
+    real (kind=8), parameter :: Pi = 3.141592653589793238d0, TwoPi = 2.d0*Pi
+
+1000 continue
+    if (var .gt. TwoPi) then
+       var = var - TwoPi
+       goto 1000
+    end if
+1100 continue
+    if (var .lt. 0.d0) then
+       var = var + TwoPi
+       goto 1100
+    end if
+
+    return
+  end subroutine ztopi
+
+end module rot