On the extendable regular integrals of the n-body problem
The paper deals with the n-body problem in d-dimensional space. The author calls an integral F ''extendable regular integral'' of the problem, if F is in involution to the classical integrals and if F can be extended to the total collision manifold. The main result is: the n-body problem in a d-dimensional space has no extendable regular integrals if \(n\geq d+1\).
scientific article; zbMATH DE number 3898287
scientific article