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

DOI10.1007/BF00648743zbMath0574.70012MaRDI QIDQ1063425

Mohamed Abel Sharaf

Publication date: 1983

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

zbMATH Keywords

regularizationrecurrence formulaeelliptic expansionshighly oscillating perturbation forceorbital systemssectorial variablestrigonometric series representation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15)

Related Items

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 ⋮ 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. IV: Regularisation approach by using sectors independent variables
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis