On the restrited three-body problem when the mass parameter is small |
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| Authors: | Jaume Llibre |
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| Institution: | (1) Secció de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain |
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| Abstract: | We study some aspects of the restricted three-body problem when the mass parameter  is sufficiently small. First, we describe the global flow of the two-body rotating problem, =0, and we use it for the analysis of the collision and parabolic orbits when  0. Also we show that for any fixed value of the Jacobian constant and for any  >0, there exists a 0>0 such that if the mass parameter  0,0], then the set of bounded orbits which are not contained in the closure of the set of symmetric periodic orbits has Lebesgue measure less than .Paper presented at the 1981 Oberwolfach Conference on Mathematical Methods in Celestial Mechanics. |
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