Abstract
A complex deformation of the Newtonian equations of motion of the classical gravitational many-body problem is introduced, namely a many-body problem that features a parameter ? and that reduces, when this parameter vanishes, to the standard equations of motion of Newtonian gravitation for an arbitrary number of pointlike bodies with arbitrary masses; and it is shown that when this parameter is instead positive, ?>0, there is an open set of (complex) initial data such that all the (complex) motions originating from it are completely periodic with period T = 2?/?, and that the (infinite) measure of this set is a finite (nonvanishing) fraction of the measure of the entire set of initial data.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
