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This directory contains example scripts for computing period
solutions to the N-body problem.
3d.c: This file contains the equations for the circular restricted
3-body problem in a rotating frame.
c.3d: This is the basic AUTO constants file which is read in
and modified by all of the scripts.
There are two "basic" AUTO command line user interface scripts.
Basic AUTO CLUI script are run by typing:
auto scriptname
Basic AUTO CLUI scripts always end with the suffix ".auto",
and they provide access to most, but not all, Python
syntax. The also allow the use of non-standard
Python syntax such as 'cd /tmp'.
In addition, there are two "expert" AUTO CLUI scripts. Expert AUTO
CLUI script are run by typing:
autox scriptname
Expert AUTO CLUI scripts always end with the suffix ".autox".
Expert AUTO CLUI scripts provide access to the full capabilities of
the Python language, at the expense of a slightly more cumbersome
syntax. For example, the non-standard Python syntax 'cd /tmp'
is not allowed, and must be replaced with 'cd ('/tmp')'. Also,
the AUTO CLUI libraries must be explicitly included
using the command 'from AUTOclui import *'.
------------------------------------------------------------
compute_lagrange_points_family.auto:
This is a basic script which computes and plots all of the
lagrange points as a function of the ratio of the masses of
the two planets.
compute_lagrange_points_0.5.auto:
This is a basic script which computes all of the lagrange
points for the case where the masses of the two planets are
equal, and saves the data. This script is used to compute
starting data for the compute_periodic_family.xauto script.
compute_periodic_family.xauto:
NOTE: This script depends on the results of the
compute_lagrange_points_0.5.auto script, so that
script must be run before this script is used.
This is an expert script which starts at a lagrange
point computed by compute_lagrange_points_0.5.auto
and continues in the ratio of the masses until
a specified mass ratio is reached. It then computes
a family of periodic orbits for each pair of
purely complex eigenvalues. Finally, for each bifurcation
point detected on the primary branch a bifurcating
branch is also computed. E.g. the command
autox compute_periodic_family.xauto l1 0.0123
computes families of periodic orbits emanating from l1
for mass ratio 0.0123.
To run the same problem with branch switching do:
autox -- compute_periodic_family.xauto -b l1 0.0123
to_matlab.xauto:
This script takes a set of AUTO data files and creates
a set of files formatted for importing into Matlab
for either plotting or further calculations.
E.g. the command
autox to_matlab.xauto foo bar
will take the solution file 's.foo' and bifurcation diagram
file 'b.foo' and create the following files:
'bar_bifur' : This files contains the bifurcation diagram
from 'b.foo'
'bar_solution_??' : These files each contain one solution from
the file 's.foo'. The '??' is replaced
with the solution label number.
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