The Mathematical Institute, University of Oxford, Eprints Archive

Computing planar and spherical choreographies

Montanelli, Hadrien and Gushterov, Nikola (2015) Computing planar and spherical choreographies. Technical Report. Unspecified. (Submitted)

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Abstract

An algorithm is presented for numerical computation of choreographies in the plane in a Newtonian potential and on the sphere in a cotangent potential. It is based on stereographic projection, approximations by trigonometric polynomials, minimization of the action functional using closed-form expressions for the gradients and quasi-Newton methods.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1884
Deposited By: Helen Taylor
Deposited On:27 May 2015 08:13
Last Modified:30 Nov 2015 13:04

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