Stability of binary on highly eccentric orbit

It is known, that possibility to capture on a satellite orbit is decreased with primary orbital eccentricity increasing. It means, that satellites of planet on eccentric orbit are less stable. We study problem by analytical and numeric methods. A difference between case of infinitesimal mass satellite and true binary system is shown. The dependence of orbital energy on external eccentricity is derived for binary system. In result of our studying, we can conclude, that extrasolar planets may have significantly smaller satellites, than planets in our solar system. Moreover, dependence on eccentricity makes restriction on giant planets migration in our Solar System. The application to a flight dynamics and mission design is discussed.

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