Numerical ODE HW 4

Implement the stormer-verlet (SV) scheme "Google wiki stormer verlet" with a reasonable step size controller.

Test your stormer-verlet code on the "gravity" problems.  Verify that your code conserves energy.

Verify that the claimed order of the stormer-verlet scheme.

Compare the accuracy and conservation properties of your DOPRI, ODE45, ODE23, and SV schemes.  Graphs and discussion etc.