::Which class of asteroids is Cruithne in and do we have a page for it? |
::Well, technically you get them, but without the mass difference you lose the fundamental quality of an L-point: stability. Unless... ::*Mass A is "substantially" larger than mass B -- by about a factor of 30. ::*Mass C, at the libration point, has essentially no mass in comparison to both A and B. ::...the points aren't linearly stable and can't hold anything. Basically, the centre of gravity of the system must be pretty close to A or it doesn't work. See J.M.A. Danby's "Fundamentals of Celestial Mechanics" (I think) where the ratio is discussed. -- Paul Drye |