|
3rd Austrian Hungarian Workshop
Barbara Funk
Stability of P-Type Orbits in Exoplanetary systems
We want to examine the border of stability for a special class of planetary
orbits in binaries (p-type-orbits). The two stars m1
and m2 have both the same mass and the planet (m3=0) orbits both
stars. To find the dependence of the border of stability from the eccentricity
of the primaries (e=0, 0.05, 0.1,..., 0.5) and from the inclination (0° <=
i <= 50°) of the planet many integrations were done; the planet starts
from 4 different initial positions and the stars have two starting points in
periapsis and apoapsis. The planet is defined as stable, if he stays on
its orbit during the whole integration time of 50000 primary-periods.
There were done three different investigations of the border of stability.
First the upper and lower critical orbits for all eccentricities of the
primaries were determined. These borders were investigated for constant
eccentricity in dependence of the inclination of the planet. Finally the
dependence of the escapetime from the inclination was examined, again for
constant eccentricity.
These investigations show that the planetary orbits are most stable for e=0
(eccentricity of the binaries) independent of the inclination of the planet.
For e > 0 there is a constant increase of the border of stability, which
seems again independend of the inclination. Also the chaotic zone between
lower and upper critical orbit increases with the eccentricity, also
depending on the inclination.
|