Hamiltonian formulation of the secular theory for Trojan-type motion

Details Hamiltonian formulation of the secular theory for Trojan-type motion Hamiltonian formulation of the secular theory for Trojan-type motion

Apr 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001a%26a...369..677m&link_type=abstract

Astronomy and Astrophysics, v.369, p.677-689 (2001)

Astronomy and Astrophysics

Astrophysics

12

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

Scientific paper

We re-derive the secular theory for Trojan-type motion from Morais (\cite{morais}) using a Hamiltonian formulation and show how this methodology allows us to include the effect of an oblate central mass and the secular perturbations from additional bodies in a rigorous way. As an application of this work we locate secular resonances inside the co-orbital regions of the uranian satellites and the planets, and show that these are in good agreement with the behaviour observed in numerical integrations.

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