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Lambert's theorem and projective dynamics
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math-phmath.MGmath.MPmath.SG
keywords
lamberttheoremconstantcurvatureextendsproblemprovechange
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We prove that the classical Lambert theorem about the elapsed time on an arc of Keplerian orbit extends without change to the Kepler problem on a space of constant curvature. We prove that the Hooke problem has a property similar to Lambert's theorem, which also extends to the spaces of constant curvature.
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