Some Recurrence Relations Between Hansen Coefficients

Details Some Recurrence Relations Between Hansen Coefficients Some Recurrence Relations Between Hansen Coefficients

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..81..177v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 81, Issue 3, p. 177-190 (2001).

Astronomy and Astrophysics

Astronomy

2

Hansen Coefficients, Recurrence Relations, Disturbing Function, Elliptic Motion, Computer Algebra

Scientific paper

A new system of recurrence relations for Hansen coefficients is obtained. This system gives a connection between only those coefficients which are included in the disturbing function of planetary or satellite motion and allows to compute efficiently the Hansen coefficients for perturbations both from internal and external bodies. The recurrence process can be realized both from high to low and from low to high harmonical terms of the disturbing function. The corresponding algorithms of evaluation of Hansen coefficients are presented. The efficiency of the obtained system of recurrence relations is discussed.

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