The formal integrals of the restricted planar problem of the three bodies |
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| Authors: | E I Timoshkova |
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| Institution: | (1) Leningrad State University, 198904 Leningrad, U.S.S.R. |
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| Abstract: | The first integrals of motion of the restricted planar circular problem of three bodies are constructed as the formal power series in r1/2, r being the distance of a moving particle from the primary. It is shown that the coefficients of these series are trigonometric polynomials of an angular variable. Some particular solutions have been found in a closed form. The proposed method for constructing the formal integrals can be generalized to a spatial problem of three bodies. |
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