CAOSP abstracts, Volume: 34, No.: 2, year: 2004
- Author(s): Solovaya, N.A.; Pittich, E.M.
- Journal: Contributions of the Astronomical Observatory Skalnaté Pleso, vol. 34, no. 2, p. 105-118.
- Date: 06/2004
- Title: The dynamical stability of extra-solar planets in binary systems
- Keyword(s): three-body problem, extra-solar planets, dynamical stability, Gliese 86, γ Cephei, 61 Cygni
- Pages: 105 -- 118
The question about dynamical stability of extra-solar planets is considered in
the frame of the general three-body problem, i.e. a planet in the binary
system revolves around one of the components. The distance between the star's
components is much longer than between the orbiting star and the planet.
In the differential equations with regard to the eccentricity and the
argument of the perigee we used the Hamiltonian without the short-periodic
terms, excluded by von Zeipel's method.
The possible conditions of the dynamical stability of extra-solar planets are
presented by their orbital parameters -- the mutual inclination of orbits and
the argument of the perigee of the planet.
The theory has been applied to the systems Gliese 86, γ Cephei, and
61 Cygni. The results were verified by the numerical integration.
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