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General planetary theory in elliptic functions

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Publication:1341295
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DOI10.1007/BF00691969zbMath0838.70013MaRDI QIDQ1341295

V. A. Brumberg

Publication date: 9 June 1996

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)


zbMATH Keywords

series solutioneccentricityinclinationHansen type quadraturestrigonometric function kernels


Mathematics Subject Classification ID

Celestial mechanics (70F15)


Related Items (3)

Numerical computation of incomplete elliptic integrals of a general form ⋮ Planetary theories with the aid of the expansions of elliptic functions ⋮ On the expansions of intermediate orbit for general planetary theory



Cites Work

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  • On groups \(G\) of \(p\)-length 2 whose nilpotency indices of \(J(KG)\) are \(a(p-1)+1\)
  • First order planetary perturbations with elliptic functions
  • A third-order intermediate orbit for planetary theory
  • Construction of a general planetary theory of the first order




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