Limit transformation of the complete integral of the problem of two fixed centers

Details Limit transformation of the complete integral of the problem of two fixed centers Limit transformation of the complete integral of the problem of two fixed centers

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975pazh....1...44i&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal, vol. 1, Feb. 1975, p. 44-47. In Russian.

Mathematics

Celestial Mechanics, Integral Equations, Limits (Mathematics), Transformations (Mathematics), Field Strength, Force Distribution, Hamilton-Jacobi Equation, Satellite Orbits, Spacecraft Motion

Scientific paper

Aksenov's (1963) integrable problem of two fixed centers can be used effectively for solving many problems of space dynamics. The limit version of the problem arises when one of the attracting centers is removed to infinity, retaining its former influence. It is shown how one can pass from the complete integral of the initial problem to that of the limit version of the problem without the need for solving the Hamilton-Jacobi equation.

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