A. Albouy

activity

20052025

most citedSome Problems on the Classical N-Body Problem

60 citations · 233 across the 21 of their papers we have counts for

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math-ph2025

On the eigenvalues of a central configuration

Alain Albouy, Jiexin Sun

The equations of the Newtonian $n$ -body problem have a matrix form, where an $n \times n$ matrix depending on the masses and on the mutual distances appears as a factor. The $n$ eig…

physics.class-ph2025

Does Newtonian dynamics need Euclidean space?

Alain Albouy

We present an elementary deduction of the Newtonian force from Kepler's laws. We relate it to a generalization by Jacobi of the Keplerian motion, where the Euclidean form in the pl…