Terrestrial Trojan Planets in Extrasolar Systems

Schwarz, Richard (2006) Terrestrial Trojan Planets in Extrasolar 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. 149-162.

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Abstract

In this article we examine, that terrestrial planets in extrasolar planetary systems can have stable orbits in the 1:1 mean-motion-resonance (MMR) with a Jovian like planet. In our stability study of the so-called Trojan planets in the habitable zone, we used the restricted three-body problem with different mass ratios of the primary bodies. The application of the three-body problem showed that even very massive Trojan planets can be stable in the 1:1 MMR. From the approximately 145 extrasolar planetary systems with about 170 planets only 15 systems were found where a giant planet is in the habitable zone. In our numerical studies we examine the orbital behaviour and the size of the stable zone respectively of extrasolar systems where the initial orbit of the gas giant lies fully in the habitable zone. The investigation of either the initial mean anomaly (M) or the initial argument of perihel (ω), showed, that the variation of ω yield more stable orbits than the variation of M.

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