Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989japa...10..347m&link_type=abstract
Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 10, Dec. 1989, p. 347-365.
Astronomy and Astrophysics
Astrophysics
Binary Stars, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Planetary Systems, Dynamic Stability, Equations Of Motion, Four Body Problem, Jacobi Integral
Scientific paper
This paper contains a numerical study of the stability of resonant orbits in a planetary system consisting of two planets moving under the gravitational attraction of a binary star. The numerical results show that the main mechanism which generates instability is the destruction of the Jacobi integrals of the massless planets when their masses become nonzero. Considerable intervals of stable resonant orbits have been found.
Grigorelis F.
Michalodimitrakis M.
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