The Foundations of Celestial Mechanics |
Common terms and phrases
angle angular momentum anomaly astronomical azimuth cartesian coordinates celestial mechanics center of mass central force chapter classical mechanics components conservation consider coordinate frame coordinate system defined definition derivatives determine the orbital differential equations distance dynamical earth eccentricity ecliptic ellipse equations of motion field point Figure given gradient Hamiltonian heliocentric heliocentric radius vectors inertia initial value integral inverse Kepler's equation kinetic energy known Lagrangian points linear linearly independent longitude m₂ mathematics measured meridian method multipole Newtonian object observations orbital elements orientation origin orthogonal P₁ P₂ particle perihelion perturbation theory perturbing potential phase space physical plane position and velocity potential energy problem of celestial quantity result Right Ascension semi-major axis sidereal sin(H solar system solution solve specify spherical surface tensor of rank three body problem total energy triangle vernal equinox virial theorem write x-axis z-axis zero