## The three body problem, Volume 110National Aeronautics and Space Administration; for sale by the Office of Technical Services, Dept. of Commerce, 1964 - Many-body problem - 40 pages |

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_ 8H _ 8TT _ 9H 2R cos uj 8pf q Angular Momentum K1 Bcos L-L binary encounters BL sphere canonical transformation Cartan's Result Cartan1 Cartesian coordinates center of mass Change of Coordinates components computation conformal transformation cos(L-L cosB cosM defined derivatives dt 8ql dt dp elimination Equilateral Configuration Eulerian angles expression formulae fundamental identities gives Hamiltonian 12 Hamiltonian H written Introduction of rectangular Keplerian motion Lagrange's variable longitude M.M_M mlm2 modified canonical equations modified momenta notation obtained plane motion polar coordinates principal principal axes principle axis q q q q r.r_r r2sin rectangular axes Regularization of Binary relative angular momentum Relative coordinates rj r2 sin(L sin(L-L sin2u sinB singular point sinX special configuration Sundman-Weierstrass Theorem symmetrical tanu three angles THREE BODY PROBLEM three masses Transformation BL u?sin variable q velocities wzy3i