Expansion of the coordinates of elliptical motion with respect to the Levi-Civita parameter

Details Expansion of the coordinates of elliptical motion with respect to the Levi-Civita parameter Expansion of the coordinates of elliptical motion with respect to the Levi-Civita parameter

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..788k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 59, July-Aug. 1982, p. 788-793) Soviet Astronomy (ISSN 0038-5301), vol. 26, July-Aug. 1982, p. 4

Astronomy and Astrophysics

Astronomy

Coordinate Transformations, Elliptical Orbits, Power Series, Series Expansion, Eccentricity, Equations Of Motion

Scientific paper

Equations are given for calculating the coefficients of expansions of the coordinates of elliptical motion in powers of the parameter introduced by Levi-Civita in place of the eccentricity. The expansions converge for all eccentricities in the interval of e at least zero but less than one. An expansion of the radius vector of elliptical motion is presented as an example.

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