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)



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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