On Brown's conjecture |
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| Authors: | J. Henrard |
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| Affiliation: | 1. Department of Mathematics, Facultés Universitaires, Notre-Dame de la Paix, Rempart de la Vierge 8, B-5000, Namur, Belgium
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| Abstract: | We examine the conjecture made by Brown (1911) that in the restricted three body problem, the long period family of periodic orbits aroundL 4, ends on a homoclinic orbit toL 3. By numerical integration we establish that for the mass ratio Sun-Jupiter such a homoclinic orbit toL 3 does not exist but that there exists a family of homoclinic orbits to periodic orbits aroundL 3. |
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