Abstract
We calculate the power transferred between an inner satellite with a circular orbit and coplanar outer satellite for six integer ratios. For these cases we calculate the maximum deviation of the outer satellite’s mean motion that will be corrected, and the time constant of the motion of the line of conjunctions toward the pericenter of the outer orbit. There is stability in commensurate motion. We give a procedure for calculating an upper limit to the order of the commensurability that is required for stability. Ganymede and Callisto would be stable in 7/3 commensurability but not in 16/7.
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© 1988 Kluwer Academic Publishers
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Goldstein, S.J., Bailey, H.R. (1988). Orbital Energy Transfer in Exactly Commensurate Satellites. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_29
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DOI: https://doi.org/10.1007/978-94-009-2917-3_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7813-9
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