Conservation laws for the dissipative Kepler's problem

Details Conservation laws for the dissipative Kepler's problem Conservation laws for the dissipative Kepler's problem

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..194k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 58, Jan.-Feb. 1981, p. 194-197.) Soviet Astronomy, vol. 25, Jan.-Feb. 1981, p. 108, 109. Transl

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Conservation Laws, Energy Dissipation, Kepler Laws, Angular Momentum, Differential Equations, Integral Equations, Relativity

Scientific paper

The motion of a body in a central force field in the presence of a resistance proportional to the n-th power of its orbital velocity is examined in the framework of the theory of effective dynamical quantities. Results obtained for the case of Kepler's problem are analogous to certain conclusions of Einstein's theory of relativity if, in addition to an active force operating on a body, the existence of dissipation of the body's energy in a field-producing medium is assumed

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