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On the Differential Correction of Nearly Parabolic Orbits

Published online by Cambridge University Press:  14 August 2015

P. Herget
P. Herget*
Affiliation:
University of Cincinnati Observatory, Cincinnati, Ohio, U.S.A.

Extract

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The differential correction of nearly parabolic orbits was discussed by the author (Herget, 1939) in the era of lead pencil computing. The Gauss-Marth method is the best one to use whenever the appropriate conditions exist, i.e., |E| < 64° and e nearly unity. The crucial point in the above-cited discussion is the use of the first differences from the Gauss-Marth tables in order to simplify the computation of the partial differential coefficients, namely dB/dA, dC/dA, and dD/dA.

Type
Part II/General Methods of Orbit Theory
Information
Symposium - International Astronomical Union , Volume 45: The Motion, Evolution of Orbits and Origin of Comets , 1972 , pp. 123
Copyright
Copyright © Reidel 1972 

References

Benima, B., Cherniack, J. R., Marsden, B. G., and Porter, J. G.: 1969, Publ. Astron. Soc. Pacific 81, 121.CrossRefGoogle Scholar
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Herget, P. and Carr, H. J.: 1972, this Symposium, p. 195.CrossRefGoogle Scholar
Schubart, J. and Stumpff, P.: 1966, Veroeffentl. Astron. Rechen-Inst. Heidelberg No. 18.Google Scholar