Secular evolution of exoplanetary systems and close encounters
We investigate the secular evolution of non-resonant exoplanetary systems consisting of a central star and two co-planar planets using a semi-numerical averaging method of the first order in planetary masses (in this case equivalent to “averaging by scissors” or simply dropping the fast periodic ter...
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| Veröffentlicht in: | Proceedings of the International Astronomical Union 2007-10, Vol.3 (S249), p.479-484 |
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| container_issue | S249 |
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| container_title | Proceedings of the International Astronomical Union |
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| creator | Šidlichovský, M. Gerlach, E. |
| description | We investigate the secular evolution of non-resonant exoplanetary systems consisting of a central star and two co-planar planets using a semi-numerical averaging method of the first order in planetary masses (in this case equivalent to “averaging by scissors” or simply dropping the fast periodic terms). The resulting Hamiltonian level curves for different exoplanetary systems were compared to those obtained by direct numerical integration. Studying the dependence of the reliability of the averaging method (as well as chaoticity of numerically integrated trajectories) upon the initial conditions, we found that the averaging methods fails even for Hill stable systems. Based on the Hill stability criterion we introduced empirically a more restrictive stability condition, that enabled us to give an estimate for the region of validity of the averaging method in the plane of initial conditions. |
| doi_str_mv | 10.1017/S1743921308016992 |
| format | Article |
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The resulting Hamiltonian level curves for different exoplanetary systems were compared to those obtained by direct numerical integration. Studying the dependence of the reliability of the averaging method (as well as chaoticity of numerically integrated trajectories) upon the initial conditions, we found that the averaging methods fails even for Hill stable systems. 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| ispartof | Proceedings of the International Astronomical Union, 2007-10, Vol.3 (S249), p.479-484 |
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| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Astronomy Astrophysics Contributed Papers Evolution Extrasolar planets Initial conditions Numerical integration Planetary systems Planetology Stability criteria Stars & galaxies |
| title | Secular evolution of exoplanetary systems and close encounters |
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