Noncollision solutions to some singular minimization problems with Keplerian-like potentials. (English) Zbl 0813.70006

The paper deals with noncollision solutions to some singular minimization problems with Keplerian-like potentials. It is established that in a symmetric setting one can make use of local hypotheses on the potential in order to obtain the existence of at least one noncollision solution for every potential exponent \(\alpha\) belonging to a certain interval. The results have been summarized in the form of theorems; their proofs have been carefully given and the presentation is good. A list of references has been appended ensuring that authors made a careful study of the relevant literature. The paper is useful for those working on dynamic system problems.
Reviewer: B.B.Sharma (Simla)


70F05 Two-body problems
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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