Analytic properties of Hansen coefficients

DOI10.1007/S10569-008-9123-ZzbMath1254.70022OpenAlexW2096662564MaRDI QIDQ1931800

Sergey Yu. Sadov

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-008-9123-z

zbMATH Keywords

series expansiontwo-body problemanalytic functionselliptic motionHansen coefficientshigh eccentricitypoles and residues

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05)

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Cites Work

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• Classes of families of generalized periodic solutions to the Beletsky equation
• Expansions of elliptic motion based on elliptic function theory
• The computation of tables of Hansen coefficients
• Singular normal form for a quasilinear ordinary differential equation
• Recurrence formulae for the Hansen's developments

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