Many-Body Gravity Simulator

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Presentation transcript:

Many-Body Gravity Simulator Jeffrey Greene Many-Body Gravity Simulator

Description of Method Background information: I wanted to model various astronomical phenomena. The n- body problem is unsolved for n>=3, however there are many approximations. Method of Solving: F = G(m1m2)/r^2 Runge-Kutta to solve the ODE too slow for the number of bodies I wanted to simulate (~1000) in MATLAB. Used first-order Euler method to solve since I could optimize it in MATLAB (hint: bsxfun can speed up your code a lot). Decreased accuracy not a big issue, since I’m not interested in the actual data, just the animations.

Movie Run the script with the command: solar Can change simulation mode (“black hole” ejection vs. solar system) and number of planets, asteroids, etc. at the top of the script.