Computing planar and spherical choreographies
classification
🧮 math.NA
cs.NA
keywords
choreographiesexactpotentialpresentedspherealgorithmapproximationcomputation
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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, approximation by trigonometric polynomials, and quasi-Newton and Newton optimization methods with exact gradient and exact Hessian matrix. New choreographies on the sphere are presented.
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