Abstract
A short derivation is given of the regularized equations of motion for the perturbed two-body problem. This method is then applied to the slightly modified time transformation dt/ds=r/ω.
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References
Burdet, C. A.: 1968, ‘Theory of Kepler Motion: The General Perturbed Two Body Problem’,Z. Angew. Math. Phys. (ZAMP) 19, 345–368.
Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag, New York.
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This work was done while the author was a 1973–74 Summer Faculty Research Fellow at the Johnson Space Center.
Dots indicate differentiation with respect to physical timet, primes with respect tos.
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Silver, M. A short derivation of the sperling-Burdet equations. Celestial Mechanics 11, 39–41 (1975). https://doi.org/10.1007/BF01228733
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DOI: https://doi.org/10.1007/BF01228733