A geometric property of Hill's curves |
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Authors: | Vladimír Matas |
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Affiliation: | (1) Astronomical Institute, Czechoslovak Academy of Sciences, Budeská 6, Vinohrady, 120 23 Praha 2, Czechoslovakia |
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Abstract: | The following is proved in this note: If we construct a circle passing through a given primary in the planar circular restricted three-body problem, center of which is the remaining primary, then the minor arc of this circle with endpoints represented by the triangular libration points represents-when the given primary is excluded-locus of all the points on the Hill's curves that are the least distant points from the given primary. |
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