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Three theorems on relative motion

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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

  • Battin, R.: 1964,Astronomical Guidance, McGraw Hill Co., New York, p. 216.

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  • Encke, J. F.: 1857, Berliner Jahrbuch.

  • Euler, L.: 1772, Theoria Motuum Lunae, Typis Academia Scientiarum Petropoli.

  • Nacozy, P. and Szebehely, V.: 1976,Celes. Mech. 12, in print.

  • Sundman, K.: 1912,Acta Math. 36, 105.

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  • Szebehely, V.: 1967,Astron. J. 72, 7.

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  • Wintner, A.: 1941,Analytical Foundations of Celestial Mechanics, Princeton University Press, p. 372.

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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

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