Day 2 The Three Body Problem

After sleepover at me cousins house.

I went to my friends engagement function Now after resting I am planning to reading the book

Orbit mechanics for engineers

Three body part of the book doesn't seem that interesting...                                   6.34

I am devising a new method to solve the two body problem

I feel Sir Isaac Newton devised the formula for linear motion and not for circular motion...                                    8.19

The solution to equation should give us

an answer in its simplest form x²+y²=a².

(In x and y axis)

So I start with a condition say 

There are two planets say p1 and p2 having velocity equal but in opposite direction v now say the two body attracted due to the gravitation in a straight line 

At a point when the planets are one above the other the velocity vector is perpendicular to the formula of gravity....

Now the question is how force change the direction of velocity....

For now if we say somehow...

Then

I think I am going to have a breakthrough...

Let's say what is circular motion going to predict for us...

Is it radius of the circle?

I want a formula that if I increase time...

The planet must create a circle