A note of expansions of functions of velocity in the two-body problem

Details A note of expansions of functions of velocity in the two-body problem A note of expansions of functions of velocity in the two-body problem

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..501k&link_type=abstract

Celestial Mechanics, vol. 15, Aug. 1977, p. 501-505.

Computer Science

Fourier Series, Orbital Velocity, Two Body Problem, Anomalies, Bessel Functions, Eccentricity, Legendre Functions, Polynomials

Scientific paper

Fourier expansions based on both the true anomaly and the mean anomaly are obtained for the functions of velocity in the two-body problem; the series of coefficients is written from classical formulae involving associated Legendre polynomials, Gegenbauer polynomials, or Bessel functions. The Fourier expansions are compared with the expansions in powers of eccentricity developed by Broucke (1974) through use of computerized Poisson series manipulation.

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