Generating families in the restricted three-body problem
Orbits
Celestial mechanics
Artificial satellites
Differentiable dynamical systems
Astrophysics
Astronomy
Engineering
Computer science
Physics
Mathematics
The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed n…
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