Seminar series
Date
Tue, 10 Mar 2015
Time
14:00 -
14:30
Location
L5
Speaker
Hadrien Montanelli
Organisation
University of Oxford
Choreographies are periodic solutions of the n-body problem in which all of the bodies have unit masses, share a common orbit and are uniformly spread along it. In this talk, I will present an algorithm for numerical computation and stability analysis of choreographies. It is based on approximations by trigonometric polynomials, minimization of the action functional using a closed-form expression of the gradient, quasi-Newton methods, automatic differentiation and Floquet stability analysis.