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A short derivation of the sperling-Burdet equations

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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.

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  • Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag, New York.

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Authors and Affiliations

  1. Bowdoin College, Brunswick, USA

    Murray Silver

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  1. Murray Silver
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Additional information

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

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