11 citations · 51 across the 11 of their papers we have counts for
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math.HO2020★ 9 cited
Abel-Ruffini's Theorem: Complex but Not Complicated!
Paul Ramond
In this article, using only elementary knowledge of complex numbers, we sketch a proof of the celebrated Abel--Ruffini theorem, which states that the general solution to an algebra…
gr-qc2020★ 5 cited
Multipolar Particles in Helically Symmetric Spacetimes
Paul Ramond, Alexandre Le Tiec
We consider a binary system of spinning compact objects with internal structure, moving along an exactly circular orbit, and modelled within the multipolar gravitational skeleton f…
physics.class-ph2020★ 5 cited
The Geometry of Isochrone Orbits: from Archimedes' parabolae to Kepler's third law
Paul Ramond, Jérôme Perez
In classical mechanics, the Kepler potential and the Harmonic potential share the following remarkable property: in either of these potentials, a bound test particle orbits with a…