Astrophysics and Space Science Library: Three-Body Problem and the Equations of Dynamics : A Translation of Poincaré's Foundational Work on Dynamical Systems Theory by Bruce D. Popp (2017, Hardcover)
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ISBN-13: 9783319528984, 978-3319528984. In an effort to understand the stability of orbits in the solar system, Poincar applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations solutions, such as orbital resonances and horseshoe orbits.