Third derivatives of the integrable part of an asteroid Hamiltonian

Serbian Astronomical Journal

Pavlović R.¹ 

[1] Astronomical Observatory, Belgrade;

关键词: celestial mechanics;    minor planets;    asteroids;   

DOI  :  10.2298/SAJ0774053P

来源: DOAJ

【 摘 要 】

To apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy. This requires computation of the derivatives of the integrable part of the corresponding Hamiltonian up to the third order over actions and a thorough analysis of their properties. In this paper we describe in detail the procedure of derivation and we give explicit expressions for the obtained derivatives. .

【 授权许可】

Unknown