Formal integrals of motion in the plane restricted three-body problem

Details Formal integrals of motion in the plane restricted three-body problem Formal integrals of motion in the plane restricted three-body problem

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..164t&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, no. 1, 1979, p. 164-172. In Russian.

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1

Equations Of Motion, Integral Equations, Three Body Problem, Three Dimensional Motion, Hamilton-Jacobi Equation, Legendre Functions, Power Series

Scientific paper

For the case of the circular plane restricted three-body problem, a method is proposed for construction of the first integrals of motion in the form of formal power series in one variable. It is shown that the coefficients of these series are trigonometric polynomials in another variable. This method permits a generalization to the three-dimensional restricted three-body problem.

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