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math.CA2022
A proof of Saari's homographic conjecture
Pieter Tibboel
We prove Saari's homographic conjecture for a large class of -body problems with power law potentials, including the classical -body problem.
math.CA2022
A proof of Saari's conjecture
Pieter Tibboel
We prove Saari's conjecture, which states that for any solution to the classical -body problem that has constant (polar) moment of inertia has to behave as a rotating rigid body…