quote:Original post by teamonkeyI remember that we used a very simple trick to solve this problem. Something like the reduced mass. I could look it up...
That''s assuming that the central star doesn''t move. If you want both the star and the planet to move, things get a bit more complex.
Orbit of a planet based upon time?
for the two body case, consider the center of gravity which doesn''t move. Remove on body, replace it with the UNMOVABLE cg of a compensated mass.
It''s mathematically equivalent.
Then, once you''ve determined the path of the body you kept, you can analytically determine the path of the body that was removed by writing the balance equation expressing the fact that the CG does not move, and there you go.
It''s mathematically equivalent.
Then, once you''ve determined the path of the body you kept, you can analytically determine the path of the body that was removed by writing the balance equation expressing the fact that the CG does not move, and there you go.
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