Numerical experiments on planetary orbits in double stars

Details Numerical experiments on planetary orbits in double stars Numerical experiments on planetary orbits in double stars

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..369d&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Computer Science

Numerical Analysis

35

Double Stars, Eccentricity, Elliptical Orbits, Planetary Orbits, Three Body Problem, Axes (Reference Lines), Computerized Simulation, Jacobi Integral, Librational Motion, Numerical Analysis

Scientific paper

This is a numerical study of orbits in the elliptic restricted three-body problem concerning the dependence of the critical orbits on the eccentricity of the primaries. They are defined as being the separatrix between stable and unstable single periodic orbits. As the results are adapted to the existence of planetary orbits in double stars, consideration was first given to the P-orbits (defined as surrounding both primaries). Due to the complexity of the elliptic problem, there is no analytical approach possible. Using the results of some 300 integrated orbits for 1000-3000 periods of the primaries, lower and upper bounds were established for the critical orbits for different values of the eccentricity.

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