Integration theory for the restricted problem of three axisymmetric bodies |
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Authors: | S M El-Shaboury |
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Institution: | (1) Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt |
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Abstract: | In this paper the circular planar restricted problem of three axisymmetric ellipsoids S
i
(i = 1, 2, 3), such that their equatorial planes coincide with the orbital plane of the three centres of masses, be considered. The equations of motion of infinitesimal body S
3
be obtained in the polar coordinates. Using iteration approach we have given an approximation for another integral, which independent of the Jacobian integral, in the case of P-type orbits (near circular orbits surrounding both primaries). |
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Keywords: | |
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