Abstract
FOR an elliptical orbit, we have the following relations1: whence, where r, a, and e have their usual meanings, and ν and M are the true and mean anomalies, respectively.
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References
Moulton, F. A., An Introduction to Celestial Mechanics, 164, 172 (Macmillan, 1959).
Brown, E. W., An Introductory Treatise on the Lunar Theory, 31 (Cambridge Univ. Press, 1896).
Smart, W. M., Celestial Mechanics, 38 (Longmans, 1953).
Smart, W. M., Celestial Mechanics, 32 (Longmans, 1953).
Brown, E. W., and Shook, C. A., Planetary Theory, 37 (Cambridge Univ. Press, 1933).
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BROOKES, C. Relationship between the True and Mean Anomalies. Nature 190, 839–840 (1961). https://doi.org/10.1038/190839b0
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DOI: https://doi.org/10.1038/190839b0
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