On a 'new' model problem suggested by A. A. Kochiev and its connection with certain problems of celestial mechanics

Details On a 'new' model problem suggested by A. A. Kochiev and its connection with certain problems of celestial mechanics On a 'new' model problem suggested by A. A. Kochiev and its connection with certain problems of celestial mechanics

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57..418s&link_type=abstract

(Astronomicheskii Zhurnal, vol. 57, Mar.-Apr. 1980, p. 418-426.) Soviet Astronomy, vol. 24, Mar.-Apr. 1980, p. 239-243. Transla

Astronomy and Astrophysics

Astronomy

Astronomical Models, Celestial Mechanics, Mathematical Models, Three Body Problem, Astrodynamics, Classical Mechanics, Spacecraft Motion

Scientific paper

A mechanical model proposed by Kochiev (1978) is discussed. It is shown that if Kochiev's equations of motion are treated independently of their derivation, the new model represents a particular case of Lagrange's problem of three fixed centers. A variant of Lagrange's problem of three fixed centers is indicated which is suitable for the study of the motion of a spacecraft in the lunar gravitational field

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