Theorem of Goursat and Levi-Civita


For homonymous articles, see Goursat, Levi and Civita (disambiguation). This article is a draft on mechanics.

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The theorem is demonstrated by Goursat (1889) for the bicentenary of the Principia. Tullio Levi-Civita will take it back (1903) for questions of disturbances in celestial mechanics.

It will be amply repeated and developed by an article by Arnold and Needham.

We can transmute a central field in -r ^ p into a central field in - 1 / r ^ n in the involutionary relation (3+n)(3-p) = 4. Demonstrationchange code

It implies a change in the time scale. code

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