A note on velocity-related series expansions in the two-body problem

Details A note on velocity-related series expansions in the two-body problem A note on velocity-related series expansions in the two-body problem

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..469b&link_type=abstract

Celestial Mechanics, vol. 10, Dec. 1974, p. 469-474.

Mathematics

4

Celestial Mechanics, Orbit Calculation, Series (Mathematics), Two Body Problem, Velocity Distribution, Atmospheric Effects, Drag Measurement, Iterative Solution, Kepler Laws, Vector Analysis

Scientific paper

The present note describes a few important series expansions in the two-body problem. They are related to the magnitude v of the velocity vector and are important for the treatment of atmospheric drag by the method of general perturbations. These series have been obtained with computerized Poisson series manipulations. The results are given to order seven in the eccentricity, for both the mean anomaly and the true anomaly.

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