Having looked at the heat equation and the wave equation, we now come to the third of the most common partial differential equations in physics, ... The planet moves in its orbit, a line drawn ...

Rcbs 308 dies 15501J. Differential Equations 201 (2004), 1: 99-138. P. Freitas and C. Rocha, Lyapunov Functionals and Stability for FitzHugh-Nagumo Systems, J. Differential Equations 169 (2001), 1: 208-227. B. Fiedler and C. Rocha, Orbit Equivalence of Global Attractors of Semilinear Parabolic Differential Equations,

For this tutorial, I will demonstrate how to use the ordinary differential equation solvers within MATLAB to numerically solve the equations of motion for a satellite orbiting Earth. For two-body orbital mechanics, the equation of motion for an orbiting object relative to a much heavier central body is modeled as: