Third derivatives of the integrable part of an asteroid Hamiltonian | Zendy

R. Pavlović | Zendy

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Third derivatives of the integrable part of an asteroid Hamiltonian

Author(s) -

R. Pavlović

Publication year - 2007

Publication title -

serbian astronomical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.196

H-Index - 16

eISSN - 1820-9289

pISSN - 1450-698X

DOI - 10.2298/saj0774053p

Subject(s) - integrable system , convexity , physics , hamiltonian (control theory) , computation , degeneracy (biology) , hamiltonian system , mathematical physics , pure mathematics , theoretical physics , mathematics , mathematical optimization , bioinformatics , algorithm , financial economics , economics , biology

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.

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