Keplerian action functional, convex optimization, and n-body problems with only boundary and topological constraints

TitleKeplerian action functional, convex optimization, and n-body problems with only boundary and topological constraints

 

SpeakerKuo-Chang Chen

Department of Mathematics, National Tsing Hua University

 

Date:   4:00-5:00 pm; September 5 ; 2013

 

PlaceConference Room A404, Department of Mathematical Sciences

 

Abstract: Variational methods have been applied to construct various types of solutions for the n-body problem, under various types of symmetry constraints. However, there were not much success with similar approaches for n-body problems without symmetry and equal-mass constraints, especially when n>3. In this talk we will introduce an apparatus to construct periodic solutions for the n-body problem with only boundary and topological constraints. This approach is a combination of variational arguments in our works on retrograde orbits for the three-body problem and certain constraint convex optimization problems. Our method has no restriction on equal masses. We will illustrate this approach by constructing relative periodic solutions for the planar four-body problems within several topological classes

 

ContactWenming Zou