George Mason University



Conor Philip Nelson

Source: Home > Classes > Math 447 > Project 3

Math 447: Numerical Analysis



Delegation of Effort:
Conor Nelson:
Website construction. 6.3.9
Peter Rizzi: Video Writer code and associated compiled videos.
Wesley Toler: Code for orbit3d, orbit2d, and associated videos.

"Every action has an equal and opposite reaction"
-Sir Isaac Newton's Third Law of Motion


Using the orbit.m function in MatLab, which depicts the movement of 1 body being acted upon another body based upon initial conditions. We will explore the many applications that this and alter it's composition for up to 3 objects. Here are two 1-bodied examples with two different mehods:

Euler Method:



Trapezoid Method:



Project 3: 6.3.9-11: Celestial Mechanics
6.3.9: Reformating \(orbit.m\) for the two-bodied problem.
6.3.10: Reformating \(orbit.m\) for the three-bodied problem
6.3.11: Solving a three-bodied problem for initial conditions and defining explinations for error.
Extra Results: Videos and Pictures depicting extra conclusions.