Large inequalities and libration terms of satellites I, II, and III of Jupiter

Astronomy and Astrophysics – Astrophysics

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Galilean Satellites, Inequalities, Libration, Librational Motion, Equations Of Motion, Euler-Lagrange Equation, Numerical Integration, Jupiter, Satellites, Librations, Equations Of Motion, Analysis, Data, Mathematical Models, Comparisons, Longitude, Theoretical Studies

Scientific paper

In the construction of a new theory of the Galilean Satellites at the Bureau des Longitudes using complex variables, Sagnier's formulation allows an easy determination of libration terms. In this computation, large inequalities give the principal contribution. This paper presents jointly these two groups of terms. The large inequalities are given under analytical form, where masses and potential coefficients J2 and J4 of Jupiter are present, showing the origin of each contribution.

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