Abstract
The three theorems treat the analytical aspects of the relative motion of non-interacting particles influenced by arbitrary force fields. As special cases motion in gravitational and central force fields are discussed. The theorems generalize Encke's method, Euler's transformation and Sundman's regularization.
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References
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Szebehely, V. Three theorems on relative motion. Celestial Mechanics 14, 113–119 (1976). https://doi.org/10.1007/BF01247137
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DOI: https://doi.org/10.1007/BF01247137