Asteroid-Model
The massive rotating straight segment (MRSS) is perhaps the
simplest model of an asteroid. This demo computes families
of periodic solutions for this model, as in [RD13].
The equations can be considered as an approximation to more
elaborate models, such as the rotating ellipsoid in [DR12]
and models that take into account the actual shape of the
asteroid.
This demo has the following subdirectories:
- Libration/L-Points
computes the libration points P1 and P2 for a selected
value of the parameter mu.
- Libration/L-Manifolds:
computes the unstable manifold of P1 and continues it
in mu, thereby detecting approximate homoclinic and
heteroclinic connections.
- Orbits:
computes families of periodic orbits for mu=1, mu=30,
mu=50, in corresponding subdirectories.
- Manifolds:
computes the unstable manifold of appropriate selected
periodic orbits. This demo needs a starting file from
"Orbits": see the README file in the subdirectory.
- Connections:
does the same computations as "Manifolds", except that
the manifold cannot be completed because a connecting
orbit to a torus is encountered. This demos takes more
CPU time and only a few orbits are saved.
- Utilities:
contains linux scripts to run a sequence of demos
To reset all directories and subdirectories to their original form,
type "auto clean_all.auto" in the current directory. This assumes
that no changes have been made other than running the AUTO python
script files.
[RD13] E. J. Doedel, V. Romanov, Periodic orbits associated
with the libration points of the massive rotating straight
line segment, preprint, 2013.
[DR12] E. J. Doedel, V. Romanov, Periodic orbits associated
with the libration points of the homogeneous rotating
gravitating triaxial ellipsoid, Int. J. Bifurcation and Chaos,
Vol. 22, #10, 2012.