Nonrestricted doubly-averaged three-body problem in the case of uniformly close orbits

Details Nonrestricted doubly-averaged three-body problem in the case of uniformly close orbits Nonrestricted doubly-averaged three-body problem in the case of uniformly close orbits

Apr 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976sval....2...67z&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 2, Mar. 1976, p. 171-175.) Soviet Astronomy Letters, vol. 2, Mar.-Apr. 1976, p. 67-69.

Mathematics

Astronomical Models, Disturbing Functions, Orbit Calculation, Three Body Problem, Asymptotic Methods, Numerical Integration, Perturbation Theory, Transformations (Mathematics)

Scientific paper

The limiting case of the doubly averaged three-body problem is
investigated in which the orbits of two bodies of small mass are close
to each other. An asymptotic expression for the perturbing function
leading to an integrable problem is obtained.

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