The General and Restricted Problems of Three Bodies: Course Held at the Department of General Mechanics, September 1973 |
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The General and Restricted Problems of Three Bodies: Course Held at the ... Victor Szebehely No preview available - 1980 |
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angular momentum binary is formed Birkhoff bounded motion C₁ Cauchy's Cauchy's inequality celestial mechanics center of mass Centre for Mechanical coordinate system corresponding curve I(t curves of zero decreased differential equations distance dynamical system e₂ ejection equations of motion escape F₁ F₁₂ F₂ function given gravitational hyperbolic-elliptic I₁ Imin inertia initial conditions International Centre interplay Jacobian constant Jacobian Coordinates Jacobian integral Lagrange-Jacobi equation Levi-Civita m₁ m₂ Math Mechanical Sciences moment of inertia motion become motion is possible Newtonian nondimensional obtained P₁ particle periodic motions periodic orbits possible motion problem of three qualitative quation r₁ r₂ reduced regions of possible restricted three-body problem solutions are unstable sufficiently small Sundman series Sundman's inequality system of differential third body third equation third original equation three bodies tion total energy trois corps VI₁ VI₂ Victor Szebehely zero velocity oval