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Celestial Mechanics and Dynamical Astronomy
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Celestial Mechanics and Dynamical Astronomy
Article . 1971 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.1007/bf0...
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Automated, closed form integration of formulas in elliptic motion

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 3, pages 390-394 (issn: 0008-8714, eissn: 1572-9478, Copyright policy )
Authors: William H. Jefferys;

doi: 10.1007/bf01231808

Automated, closed form integration of formulas in elliptic motion

Abstract

In some perturbation theories it is possible to avoid expansion of the perturbations in powers of the eccentricity, obtaining results in closed form by using the true or eccentric anomaly instead of the mean anomaly. This paper describes an algorithm (which has been programmed for the 6600 computer using the formula manipulation system TRIGMAN) for automatically performing the integrals which arise in these theories.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
bronze