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Astron. Astrophys. 350, 318-326 (1999)


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A secular theory for Trojan-type motion

M.H.M. Morais

Astronomy Unit, Queen Mary and Westfield College, London E1 4ES, UK (M.H.Morais@qmw.ac.uk)

Received 11 June 1999 / Accepted 26 August 1999

Abstract

We derive a secular theory for Trojan-type motion in the framework of the restricted three-body problem, which is valid inside the entire regular coorbital region. We show that under certain conditions it is possible to extend the theory to include the secular perturbations from additional bodies and an oblate central mass. We are then able to predict the location of linear secular resonances which may play an important role in determining the long-term stability of Trojan orbits associated with planets or satellites.

Key words: celestial mechanics, stellar dynamics – minor planets, asteroids – planets and satellites: general


© European Southern Observatory (ESO) 1999

Online publication: September 24, 1999

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