Reduction of the kinematic equation of Euler motion to Kepler equation form

Details Reduction of the kinematic equation of Euler motion to Kepler equation form Reduction of the kinematic equation of Euler motion to Kepler equation form

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978azh....55..132k&link_type=abstract

Astronomicheskii Zhurnal, vol. 55, no. 1, 1978, p. 132-137. In Russian.

Astronomy and Astrophysics

Astronomy

Euler Equations Of Motion, Kepler Laws, Kinematic Equations, Orbital Mechanics, Satellite Orbits, Analytic Functions, Convergence, Gravitational Fields, Legendre Functions, Periodic Functions

Scientific paper

The analytic representation of Euler motion (solution of the problem of two fixed centers) based on the expansion of the satellite coordinates in a series in a small parameter characterizing the deviation of the gravitational field from a central field is considered. Two variants of a method of reducing the kinematic equation of Euler motion to a Kepler equation are set forth. Terms up to the fourth power of the small parameter are retained.

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