| Issue |
A&A
Volume 369, Number 2, April II 2001
|
|
|---|---|---|
| Page(s) | 677 - 689 | |
| Section | Atomic, molecular, and nuclear data | |
| DOI | https://doi.org/10.1051/0004-6361:20010141 | |
| Published online | 15 April 2001 | |
Hamiltonian formulation of the secular theory for Trojan-type motion
Observatoire de la Côte d'Azur, BP 4229, 06304 Nice Cedex 4, France
Received:
19
October
2000
Accepted:
12
January
2001
We re-derive the secular theory for Trojan-type motion from Morais ([CITE]) 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.
Key words: celestial mechanics / minor planets, asteroids / planets and satellites: general
© ESO, 2001
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