## N-Body Simulation

Theory Step 1: Particle Characteristics Each particle is treated as a point mass, and each point mass has three intrinsic characteristics: a mass $$m_i$$, a position vector $$\vec{r}_i=\left[\begin{array}{ccc}x_i & y_i & z_i\end{array}\right]$$, and a velocity vector $$\vec{v}_i=\left[\begin{array}{ccc}u_i & v_i & w_i\end{array}\right]$$. Step 2: Force Calculation According to Newton’s law of universal gravitation, given two distinct point masses in space, the gravitational force acting on the objects takes the form: $$F=G\frac{m_1m_2}{r^2}$$...

December 21, 2022 · 2 min