Recurrence formulae for inclination matrix

Details Recurrence formulae for inclination matrix Recurrence formulae for inclination matrix

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987baicz..38..152s&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 38, June 1987, p. 152-155.

Mathematics

2

Celestial Mechanics, Matrices (Mathematics), Recursive Functions, Three Body Problem, Hamiltonian Functions, Hypergeometric Functions, Inclination

Scientific paper

The elements of inclination matrices are the generalization of the inclination function. They appear in the Hamiltonian of the two or three non-spherical rigid body problem with the inclination of orbital or rotational angular momentum vectors as arguments. Several useful recurrence formulae for these elements are presented. Two of them are equivalent to Allan's recurrence relations for inclination functions but the remaining ones have no analogy in terms of these functions.

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