1. The Search for Lagrange Point 1
Korbi Thalhammer
Image from Ricochet.com

2. Methods Expansion of Homework 11 structure
Transition from one asteroid to nAsteroids
Modify the kepler_ode file to handle arbitrarily many bodies
The Y vector must now accommodate the sun, the planet, and all nAsteroids
Runge-Kutta Method works perfectly well on a larger Y vector
Place asteroids between the sun and the planet at regular distance intervals and give them the same omega value as the planet
va = omegap*norm(ra)
Plot movement of all bodies with respect to time. Then observe which asteroids are cleared from the system and which remain.
To avoid a messy image, plot only a portion of each orbit at a time
Use pretty colors to maximize interest
Start code by running final_project.m