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SPACE MATHEMATICS PART
STABILITY AND SMALL OSCILLATIONS ABOUT EQUILIBRIUM
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analytic angle applied approximately artificial satellite Astronom Astrophys axis calculated celestial mechanics center of mass Chandrasekhar characteristic exponents cluster coefficients considered constant Contopoulos convergence coordinates corresponding defined density derived differential equations dt/dr dynamical system ecliptic ellipsoidal elliptic energy equa equal equations of motion escape exists Figure finite force function formula galactic Galaxy given gravitational Hamilton-Jacobi equation Hamiltonian Hence infinity initial conditions Kepler Kepler's equation Kurth linear Liouville's equation longitude Math matrix mean method Monthly Notices Roy n-body problem number of stars nutation particle periodic perturbation phase space plane Poincare's position potential field precession problem of three radius re-body problem recurrent reference orbit relaxation respect restricted problem rotation satisfy solution solved spherical statistical stellar dynamics stellar system theory third integral three bodies tion two-body problem Univ values variables vector velocity virial theorem zero