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

DOI10.1007/BF00713628zbMath0489.70013OpenAlexW3011520715MaRDI QIDQ1166951

Mohamed Abel Sharaf

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00713628

zbMATH Keywords

satelliteregularizationhighly eccentric orbitsperturbed by highly oscillating forcessegmentation theory for elliptic 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) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

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 \(function\) \(X_ n^{(r)}(\gamma,\beta,u)=\{\sum ^{n+1}_{i=1}\gamma _ i\cos ^{i-1}u+\sin \,u\sum ^{n}_{i=1}\beta _ i\cos ^{i-1}u\}^ r\), 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

Cites Work

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• 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
• BURRAU'S PROBLEM OF THREE BODIES
• Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis