Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis, II

DOI10.1007/BF00648945zbMath0476.70014MaRDI QIDQ1159991

Mohamed Abel Sharaf

Publication date: 1981

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

Fourier expansionscomputer algorithmshighly eccentric orbits

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Celestial mechanics (70F15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Elliptic functions and integrals (33E05)

Related Items (6)

Expansion theory for the elliptic motion of abbitrary eccentricity and semi-major axis. VI. Elliptic expansions in terms of the sectorial variables for the fifth and sixth categories ⋮ Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. VII. Elliptic expansions in terms of the sectorial variables for the seventh and eighth categories ⋮ Expansion theory for elliptic motion of arbitrary eccentricity and semi- major axis. IX. Elliptic expansions in terms of the sectorial variables for the thirteenth, fourteenth, fifteenth, and sixteenth categories ⋮ Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. IV: Regularisation approach by using sectors independent variables ⋮ Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis ⋮ Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. X. Analysis of the general periodic \(function\) \(X_ n^{(r)}(\gamma,\beta,u)=\{\sum ^{n+1}_{i=1}\gamma _ i\cos ^{i-1}u+\sin \,u\sum ^{n}_{i=1}\beta _ i\cos ^{i-1}u\}^ r\)

Cites Work

• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis

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