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Introduction and Mathematics Review
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addition angular momentum approach azimuth called cartesian coordinates celestial mechanics center of mass central force chapter classical mechanics components conservation consider constraints coordinate frame coordinate system defined definition derivatives describe the motion determine the orbital differential equations distance dynamical earth eccentricity ecliptic ellipse equations of motion ergodic field point Figure given gradient Hamiltonian heliocentric heliocentric radius vectors hour angle inertia initial value integral inverse Kepler's equation kinetic energy known Lagrangian points linear linearly independent longitude mathematics measured meridian moving multipole Newtonian observations orbital elements orientation origin orthogonal orthonormal transformations particle perihelion passage perturbing potential phase space physical plane position and velocity potential energy problem of celestial quantity represent result Right Ascension semi-major axis simply six constants solar system solution solve specify spherical surface tensor of rank three body problem total energy vernal equinox virial theorem write x-axis z-axis zenith zero