homework12(The solar system)

作业

name:姚逸飞
student number：2013301020096

Homework

• $\Bbb homework\; L:$The solar system

Abstract

Last passage, we discuss about the gavity model. So in this passage ,we will talk abou the solar system.

Here is solar system picture.

passage

for simplelity, although there eight planets in the solar system, here I just consider two of them: earth and jupiter.
From the website ,we can get the data:

But in this passage, I just want to give the qulitative caculation, so I don't use the true data of the solar system in diameter. But in mass, I use the true data of them.
In this picture, every plant will be driven by the force of the other two planets. But because of the huge mass of the sun,it nearly never move. So the issue of three bodies will be simplified as the earth and jupiter orbit with the sun.

This pictur is about the gravity is not reverse by the $r^2$,but $r^{2+q}$,here q is not zero. So we can see the orbit of the earth will not be stable any more. But for the end time is not long enough, the orbit of the Jupiter is not complete。

This picture is about that the initial velocity of the earth become bigger. Thus the diameter of the orbit of the earth will rise follow the initial velocity.

Then we consider the sun si not so huge. Then it will be affected by the other planets. So the sun will also move. This picture shows that the sun's regular trace.

As all the above pictures are in 2 diminsion, at last I will put the trace of the two planets in a 3 diminsion. Then it will be more clear.

Conclusion

This passage describes the solar system in some degree, though it just consider of two planets. If time permits, I'll give more trace of planets.
And the total codes are Here

Reference

Thanks for the data from the wikipedia.