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   Mo[13.5]
   Di[14.5]
   Mi[15.5]
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Proceedings
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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.