Abstract
The classical Kepler problem can be modified so that the velocity is always bounded. This is done by using a new time variable. A new Hamiltonian function can also be constructed, and it receives a relativistic interpretation: Newtonian mass and energy are replaced by relativistic (proper) mass and energy. A classical model for the photon can also be given. On the other hand the reformulated Kepler problem can equally well be used in special relativity as a model for a relativistic particle in a gravitational field.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Bryant, J.G. (1984). A Relativistic Approach to the Kepler Problem. In: Berger, A. (eds) The Big Bang and Georges Lemaître. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6487-7_20
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DOI: https://doi.org/10.1007/978-94-009-6487-7_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6489-1
Online ISBN: 978-94-009-6487-7
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