Reversed-series solution to the universal Kepler equation

Andrew J. Staugler; David A. Chart; Robert G. Melton

doi:10.2514/2.7604

Reversed-series solution to the universal Kepler equation

Andrew J. Staugler, David A. Chart, Robert G. Melton

Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The reversed series solution to the universal Kepler equation provides a useful analytical approximation that takes advantage of the singularity-free universal function formulation. The solution is compatible with any variational approaches that use the universal functions to examine small disturbances or the effects of low-level thrust. A rectified step can be inserted to control error over a large change in true anomaly.

Original language	English (US)
Pages (from-to)	1276-1277
Number of pages	2
Journal	Journal of Guidance, Control, and Dynamics
Volume	20
Issue number	6
DOIs	https://doi.org/10.2514/2.7604
State	Published - Jan 1 1997

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Aerospace Engineering
Space and Planetary Science
Electrical and Electronic Engineering
Applied Mathematics

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10.2514/2.7604

Cite this

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AB - The reversed series solution to the universal Kepler equation provides a useful analytical approximation that takes advantage of the singularity-free universal function formulation. The solution is compatible with any variational approaches that use the universal functions to examine small disturbances or the effects of low-level thrust. A rectified step can be inserted to control error over a large change in true anomaly.

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Reversed-series solution to the universal Kepler equation

Abstract

All Science Journal Classification (ASJC) codes

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