Exchange Orbits in Planetary systems

Dvorak, Rudolf (2006) Exchange Orbits in Planetary systems. In: 4th Austrian-Hungarian Workshop on Celestial Mechanics Edited by Á. Süli, F. Freistetter, A. Pál. Publications of the Astronomy Department of the Eötvös University (18). ELTE Sokszorosítóüzeme, Budapest, pp. 63-74.

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Abstract

In this study we show the results of a numerical determination of the stability of planets in exchange orbits. These kinds of orbits are defined such that two small butmassive bodies with almost the same semimajor axes on nearly circular orbits are moving around a much more massive host. Because the planet on the inner orbit is faster it approaches the outer body from behind. Before they meet, the inner body is shifted to the orbit of the outer and vice-versa the former outer body moves to an orbit with a smaller semimajor axis. We did our numerical experiments for different masses of the two planets involved and different initial separation of the semimajor axis. It turned out that for stable exchange orbits the sum of the mass of the two planets can only slightly exceed the one of Saturn.

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