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> experimentsρ(0) = 0.7: chaotic <strong>motion</strong>Even for short <strong>integration</strong>s ∆H ≥ 1 for all others!IGEM with ɛ = 0.1 passes test!IGEM is fast:T calc = 1335s for τ ∈ [0, 50000]IGEM is accurate:1e-071e-08∆H(τ)1e-091e-101e-111e-120 10000 20000 30000 40000 50000τFigure: Energy error ∆H = | [H(yn)−H 0]/H 0 |.21/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013
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