Stability of resonant planetary orbits in binary stars |
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Authors: | M Michalodimitrakis F Grigorelis |
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Institution: | (1) Department of Theoretical Mechanics, University of Thessaloniki, GR 54006 Thessaloniki, Greece |
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Abstract: | 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. Its results are expected to provide us with useful information
about real planetary systems and, at the same time, about periodic motions in the general four-body problem (G4) because the
above system is a special case of G4 where two bodies have much larger masses than the masses of the other two (planets).
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 and that resonances in the motion of planets do not imply, in general,
instability. Considerable intervals of stable resonant orbits have been found. The above quantitative results are in agreement
with the existing qualitative predictions |
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Keywords: | planetary systems resonance stability |
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