Average distance between a star and planet in an eccentric orbit

Details Average distance between a star and planet in an eccentric orbit Average distance between a star and planet in an eccentric orbit

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003amjph..71.1198w&link_type=abstract

American Journal of Physics, Volume 71, Issue 11, pp. 1198-1200 (2003).

Physics

2

Educational Aids, Celestial Mechanics

Scientific paper

The average distance between a star and a planet in the classic two-body problem of celestial mechanics is different from the orbital semi-major axis of the planet if the average is performed over time or angle. The time- and angle-averaged distances are functions of both the semi-major axis and the orbital eccentricity and can differ from the orbital semi-major axis by as much as 50%-100%. This difference contradicts the usual statement found in most introductory and advanced textbooks that the average distance and the orbital semi-major axis are equal.

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