Some mathematical models of the solar system

Details Some mathematical models of the solar system Some mathematical models of the solar system

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mvsmm...1...72k&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia 1 - Matematika, Mekhanika (ISSN 0579-9368), no. 1, Jan.-Feb. 1992, p. 72-77. In Russian.

Mathematics

Celestial Mechanics, Many Body Problem, Mathematical Models, Solar System, Cauchy Problem, Coordinate Transformations, Differential Equations

Scientific paper

An eleven-body problem is considered in which the bodies simulate the sun, the moon, and the planets. A new method for introducing a small parameter into the problem is proposed. Depending on the time interval over which the motion of the bodies is considered, the problem is reduced to a system of regularly or singularly perturbed differential equations.

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