Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pazh....6...51r&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 6, Jan. 1980, p. 51-54.) Soviet Astronomy Letters, vol. 6, Jan.-Feb. 1980, p. 27-29. Tr
Astronomy and Astrophysics
Astronomy
1
Celestial Mechanics, Orbital Mechanics, Three Body Problem, Astronomical Models, Oort Cloud
Scientific paper
An analysis is given of the doubly restricted three-body problem, in which the central force is described by a power law with an arbitrary exponent n. The generalized energy integral is obtained. The restricted problem is shown to have a general solution if n = -1. In the case of the galactic field, n is expressed in terms of the Oort constants A and B as n = 4A/(A - B) - 1 = 1.4.
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