Decomposition of functions for elliptical orbits

Details Decomposition of functions for elliptical orbits Decomposition of functions for elliptical orbits

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..207o&link_type=abstract

Celestial Mechanics & Dynamical Astronomy (ISSN 0923-2958), vol. 60, no. 2, p. 207-223

Astronomy and Astrophysics

Astronomy

9

Celestial Mechanics, Elliptical Orbits, Kepler Laws, Orbit Perturbation, Satellite Orbits, Astronomical Models, Hamiltonian Functions, Lie Groups, Perturbation Theory

Scientific paper

In the algebra A of functions periodic in the mean anomaly we relate the problem of integrating over the mean anomaly with that of decomposing an element of A as the direct sum of two functions, one in the kernel of the Lie derivative in the Keplerian flow and one in the image of this Lie derivative. We propose recursive rules amenable to general purpose symbolic processors for accomplishing such decomposition in a wide subclass of A. We introduce the dilogarithmic function to express in exact terms quadratures involving the equation of the center.

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