×

The existence of noncollision singularities in Newtonian systems. (English) Zbl 0764.70006

As an answer to a long-standing problem in celestial mechanics, the contribution of this paper is to prove the existence of noncollision singularities in the 5-body problem. The author studied the isosceles 3- body problem as the first step, then considered a special 5-body problem and constructed unbounded solutions in finite time, in which there is no binary collision involved.

MSC:

70F10 \(n\)-body problems
70F35 Collision of rigid or pseudo-rigid bodies
70F15 Celestial mechanics
PDFBibTeX XMLCite
Full Text: DOI