A modification of Hill's method

Details A modification of Hill's method A modification of Hill's method

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53.1100t&link_type=abstract

Astronomicheskii Zhurnal, vol. 53, Sept.-Oct. 1976, p. 1100-1105. In Russian.

Mathematics

Astrodynamics, Hill Method, Orbit Calculation, Orbit Perturbation, Perturbation Theory, Differential Equations, Equations Of Motion, Matrices (Mathematics), Satellite Orbits, Vector Analysis

Scientific paper

Hill's classical method of calculating disturbances of rectangular coordinates is modified in the sense that an orbit in the field of any potential may be used as the intermediate orbit. The classical case where the potential is equal to 1/r is analyzed. The expressions obtained are free of singularities at zero inclinations and zero eccentricities.

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