|
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.
|
|