Basic HTML version of Foils prepared 14 October 1997

Foil 26 Solving the N-body equations of motion

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95/96/97. by Nancy McCracken and Geoffrey C. Fox
Introduce 3 vectors X V A for position,velocity and acceleration of particles
Numerical techniques iterate equations over time using Runge Kutta (in our detailed example) or more simply:
  • Euler's Equation which gives:
  • X(t+dt) = X(t) + h * V(t)
  • V(t+dt) = V(t) + h * Grav(X(t))
Note i labels particles not time steps

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