Mathematical Theories of Planetary Motions |
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absolute perturbations analytical angle appears approximation arbitrary constants ascending powers becomes brevity canonical center of gravity coefficients component velocities constants of integration contain convergence coordinates denote depends determined distance disturbing masses dt dt eccentric anomaly eccentricities and inclinations elements ellipse equa equations 15 expressions finally follows formulas given functions gives Hence homogeneous functions integral numbers introduced invariable plane investigations involution system Jacobi Kepler's Kepler's equation kinetic energy Lagrange Lagrange's Laplace Leverrier limit linear functions major axis mean anomaly mean longitudes multiplied negative nodes obtained once orbit partial differential equation perihelia perihelion periodic terms perturbing function planet Poisson's positive quantities reduced relative motions remain result satisfy second member secular terms secular values shown solar system solution substitution systems 38 theory three bodies tion transformation turbing vanish variation zero
