Lagrange’s mean motion problem

Favorov, S.

doi:10.1090/S1061-0022-09-01049-8

Lagrange’s mean motion problem
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by S. Yu. Favorov
Translated by: the author

St. Petersburg Math. J. 20 (2009), 319-324

DOI: https://doi.org/10.1090/S1061-0022-09-01049-8

Published electronically: February 4, 2009

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Abstract:

The famous mean motion problem, dating back to Lagrange, is about the existence of the average speed for the amplitude of any exponential polynomial with exponents on the imaginary axis, whenever the variable moves along a horizontal line. This problem was completely solved by B. Jessen and H. Tornehave in Acta Mathematica, vol. 77, 1945. Here, we give a simple version of that proof.

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