Numerical long-term integration of geodesic equations of motion
Numerical long-term integration of geodesic equations of motion
Numerical long-term integration of geodesic equations of motion
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<strong>Numerical</strong> experimentsTestcase: Manko, Sanabri-Gómez, Manko metric◮ Stationary, axisymmetric metricg µν (ρ, ✁φ, z, ✄t)◮ Depends on parametersenergy E, mass m 0 , ang. mom.L z , Q, M, q, a◮ Use prolate spherical coordinates u, v with( ( √ )ρ κ (u2 − 1)(1 − v=z)2 )κuv(κ is parameter)13/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013