Solving Kepler Problem for 2-Body System: Velocity & Position

AI Thread Summary
The discussion centers on solving the Kepler Problem for a two-body system with a significant mass difference. Key references include Landau and Lifshitz Mechanics and Fowles and Cassiday, which provide solutions and methodologies. Numerous approaches exist for solving Kepler's equation, with many celestial mechanics texts offering various methods. Recommendations for further reading include the works of Jean Meeus and a Wikipedia page on the Kepler problem. Overall, there are ample resources available online for those interested in celestial computations.
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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?
 
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The solution is in Landau and Lifshitz Mechanics. Chapter 3.
 
Is there anywhere on the web that it is solved?
 
I think it is also in Chapter 5 or 6 in Fowles and Cassiday.
 
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.
 
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I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...

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