The Theorem of von Zeipel for quasihomogeneous potentials
Date
1994
Authors
Popescu, Cristina-Mona
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Abstract
In this thesis we consider the motion of n particles under the influence of
a law of attraction given by a quasihomogeneous potential function depending on two parameters. Our main goal is to prove that if a solution of then-body problem has a singularity at which the moment of inertia has a finite limit, then the singularity is due to a collision. In other words, a pseudocollision may occur only if the mot ion becomes unbounded in finite time.