How do you solve the Kepler problem for a 2-body system with given velocity and position?

[Philosophaie]

How do you solve the Kepler Problem for a 2-body system where m1<<m2 with a given velocity and position vector resulting in a new velocity and position for a certain time interval?

 

[Khashishi]

The solution is in Landau and Lifshitz Mechanics. Chapter 3.

 

[Philosophaie]

Is there anywhere on the web that it is solved?

 

[Electric Red]

I think it is also in Chapter 5 or 6 in Fowles and Cassiday.

 

[tfr000]

There are many ways of solving Kepler's equation - hundreds of them. Any decent celestial mechanics text should present several. Have you searched around on the web?
In general, if you're going to do much celestial computing, I recommend the works of Jean Meeus.

 

[SteamKing]

You can also try this on for size:

http://en.wikipedia.org/wiki/Kepler_problem