Third Derivatives of the Integrable Part of an Asteroid Hamiltonian

Details Third Derivatives of the Integrable Part of an Asteroid Hamiltonian Third Derivatives of the Integrable Part of an Asteroid Hamiltonian

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007seraj.174...53p&link_type=abstract

Serbian Astronomical Journal, vol. 174, p. 53-60

Statistics

Computation

1

Celestial Mechanics, Minor Planets, Asteroids

Scientific paper

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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