The mean anomaly in elliptic motion as random variable

Details The mean anomaly in elliptic motion as random variable The mean anomaly in elliptic motion as random variable

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..351s&link_type=abstract

Celestial Mechanics, vol. 21, May 1980, p. 351-356.

Mathematics

1

Anomalies, Celestial Mechanics, Elliptical Orbits, Random Variables, Angular Momentum, Fourier Series, Mean, Orbital Velocity, Radii, Vectors (Mathematics)

Scientific paper

Certain characteristic quantities and functions in elliptic motion are discussed, and the harmonic, geometric, arithmetic and square means for extremal values of the radius vector are obtained. Mean values for functions dependent upon the eccentric anomaly, true anomaly and mean anomaly (MA) are also derived, and orbital velocity in elliptic motion is considered from the viewpoint of means. Attention is given to the probability interpretation of the MA in elliptic motion, and to free terms in Fourier expansions for some functions related to the MA. A theorem illustrating the mathematical meaning of the results is presented.

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