Relationship between the True and Mean Anomalies

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.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

References

  1. 1

    Moulton, F. A., An Introduction to Celestial Mechanics, 164, 172 (Macmillan, 1959).

  2. 2

    Brown, E. W., An Introductory Treatise on the Lunar Theory, 31 (Cambridge Univ. Press, 1896).

  3. 3

    Smart, W. M., Celestial Mechanics, 38 (Longmans, 1953).

  4. 4

    Smart, W. M., Celestial Mechanics, 32 (Longmans, 1953).

  5. 5

    Brown, E. W., and Shook, C. A., Planetary Theory, 37 (Cambridge Univ. Press, 1933).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

BROOKES, C. Relationship between the True and Mean Anomalies. Nature 190, 839–840 (1961). https://doi.org/10.1038/190839b0

Download citation

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.