Sums of the coefficients of the fundamental series of Keplerian motion

Details Sums of the coefficients of the fundamental series of Keplerian motion Sums of the coefficients of the fundamental series of Keplerian motion

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kfnt....7....3k&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 7, May-June 1991, p. 3-8. In Russian.

Statistics

Applications

Elliptical Orbits, Equations Of Motion, Orbital Elements, Power Series, Recursive Functions, Applications Of Mathematics, Bessel Functions, Kepler Laws

Scientific paper

Various formulas - recurrent relations, finite expressions (if they exist), and power series - are derived. The main properties of the coefficients of Fourier series representing orbital coordinates in elliptical motion are established. Two auxiliary propositions are proven: higher-order derivatives of the cotangent, and evaluation of a definite integral.

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