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Computational Physics: I have to complete the following problem in Matlab. I am

ID: 1390341 • Letter: C

Question

Computational Physics:

I have to complete the following problem in Matlab. I am struggling with where to even get started on this problem.

Q: Carry out a true three-body simulation in which the motions of Earth, Jupiter, and the Sun are all calculated. Since all three bodies are now in motion, it is usefule to take the center of mass of the three-body system as the origin, rather than the position of the Sun. We also suggest that you give Sun an initial velocity which makes the total momentum of the system exactly zero(so that the center of mass will remain fixed). Study the motion of Earth with different initial conditions. Also, try increasing the mass of Jupiter to 10, 100, and 1000 times its true mass.

I am willing to offer as many points as is necessary for some guidance on how to solve this problem (IE. How to write this program in Matlab.)

Explanation / Answer

I suggest you refer these:

http://www.mathworks.com/matlabcentral/fileexchange/34684-three-body-problem

http://www.mathworks.com/matlabcentral/fileexchange/30135-circular-restricted-three-body-problem--crtbp--sun-earth-moon

Download the zip files, unzip them, run them on matlab. Look through the codes and change the variables accordingly.

I am sorry I cannot be of further assistance.

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