| 1 |
Let MPGrav(i) return the acceleration of i'th particle which is specified by position X(i) and velocity V(i)
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| 2 |
The kernel of algorithm increments X(i),V(i) from t to t+h using Runge-Kutta method.
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| 3 |
This involves 4 function calls to MPGrav(i) for the four different choices of position and time needed in the Runge-Kutta method.
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| 4 |
Let Xuse(i) be position vector used in each function call. Then we have
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| 5 |
(time,Xuse) = (t,X) (t+h/2, X + (h/2)Dxa) (t+h/2, X + (h/2)Dxb) (t+h, X + hDxc)
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| 6 |
where Dxa Dxb Dxc are shift vectors calculated by previous phase of Runge-Kutta method
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