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\}^

DOI10.1007/BF00717854zbMath0619.70013OpenAlexW3165526946MaRDI QIDQ1090112

Mohamed Abel Sharaf

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00717854

zbMATH Keywords

Fourier expansionexpansionselliptic orbitsrecurrence formulaeorbital systemssectorial variableshighly- oscillating perturbation forceregularization approach

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20) Statics (70C20)

Related Items (1)

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

Cites Work

• Unnamed Item
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. V. Elliptic expansions in terms of the sectorial variables for the first four categories
• 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, II
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. III
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. IV: Regularisation approach by using sectors independent variables
• A note on velocity-related series expansions in the two-body problem
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis

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