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Example

how to i can calculate the velocity of the object? If i know the distance of the object from the center of mass, and i know distance between the two (identical) ellipse center... (the two object has the same mass) and of course we know the ellipses semi-major and -minor axis

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  • $\begingroup$ You will need some more information, eg a point in the orbit. But the generalized problem is converting Kelperian elements to position and velocity. Search for that, and you should find some good explanations. $\endgroup$
    – Greg Miller
    Commented Mar 18, 2023 at 22:37
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    $\begingroup$ One of the most useful equations in orbital mechanics is the vis-viva equation Also, see answer(s) to Orbital speeds of Components of Binary System $\endgroup$
    – uhoh
    Commented Mar 19, 2023 at 0:14
  • $\begingroup$ I want to know the values of orbital parameters that make siuch system stable. $\endgroup$
    – Domahidi Péter
    Commented Mar 19, 2023 at 1:09
  • $\begingroup$ The orbit is stable if the sum of potential & kinetic energies is negative. See en.wikipedia.org/wiki/Specific_orbital_energy which is linked from the vis-viva article. $\endgroup$
    – PM 2Ring
    Commented Mar 19, 2023 at 5:23
  • $\begingroup$ You had a possibly acceptable answer that was deleted because your question is confusing. Do you want the velocity (title) or the speed? If there are additional requirements then put them in the question, not in comments. $\endgroup$
    – ProfRob
    Commented Mar 19, 2023 at 6:21

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