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Lagrange stability

(a quality of some stable orbits)

Lagrange stability (of motion) is a criteria for a stability of a trajectory within a dynamical system (such as a planet in orbit), the criteria consisting of a set of inequalities. Trajectories that satisfy them belong to stable orbits, i.e., orbits that will remain for a very long time. The quantities involved are regarding two objects orbiting a third, the aim being to determine whether the gravitational force between the orbiting objects will predictably terminate an object's orbit.


(orbits,celestial mechanics)
Further reading:
https://en.wikipedia.org/wiki/Lagrange_stability
http://www.scholarpedia.org/article/Stability_of_the_solar_system
https://www.encyclopediaofmath.org/index.php/Lagrange_stability
https://ui.adsabs.harvard.edu/abs/1999AJ....117.3054S/abstract
https://arxiv.org/abs/1210.0321

Referenced by page:
Titius-Bode law

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