Abstract
We herein utilize the general three-body problem (GTBP) as a model, in
order to simulate resonant systems consisting of a star and two planets,
where at least one of them is highly eccentric. We study them in terms
of their long-term stability, via the construction of maps of dynamical
stability and the computation of the corresponding families of periodic
orbits. We identify the way their survival is connected with the regions
of regular motion in phase space, which, in turn, were created by stable
resonant periodic orbits in their vicinity. Consequently, a phase
protection mechanism is provided and the planets avoid close encounters
and collisions even on long timescales. We apply our methodology to the
extrasolar system HD 82943.
| Original language | English |
|---|---|
| Publication status | Published - 2015 |
| Externally published | Yes |
Keywords
- Astrophysics - Earth and Planetary Astrophysics