A theory of the Trojan asteroids |
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| Authors: | Boris Garfinkel |
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| Institution: | (1) Department of Astronomy, Yale University, New Haven, Conn., USA |
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| Abstract: | The paper constructs a long-periodic solution for the case of 1 1 resonance in the restricted problem of three bodies. The solution is smoothed by the exclusion of the internal resonant terms arising from the near-commensurability between the long and the short periods of the asteroid.Although the Brown (1911) conjecture regarding the termination of the family of the  tadpoles at the Lagrangian pointL
3 is not supported by our analysis, the conjecture seems to hold in the limit asm 0. |
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