A secular theory for Trojan-type motion

Details A secular theory for Trojan-type motion A secular theory for Trojan-type motion

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999a%26a...350..318m&link_type=abstract

Astronomy and Astrophysics, v.350, p.318-326 (1999)

Astronomy and Astrophysics

Astrophysics

11

Celestial Mechanics, Stellar Dynamics, Minor Planets, Asteroids, Planets And Satellites: General

Scientific paper

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.

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