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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Henrard, J. On Brown's conjecture. Celestial Mechanics 31, 115–122 (1983). https://doi.org/10.1007/BF01686813
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DOI: https://doi.org/10.1007/BF01686813