Planetary Theory

angles arbitrary constants asteroid bodies calculation canonical equations Chap coefficients const constant term contain convergence coordinates cosines d'Alembert series deduced defined definition degree of accuracy denoted derivatives differential equations disturbing function disturbing mass disturbing planet divisor eccentric anomalies eccentricities and inclination elements equations of motion expansions in powers expressed in terms formulae Fourier series geometry given gives Hamiltonian Hamiltonian function harmonic analysis Hence independent variable integral Jupiter Konrad Knopp latter libration long period terms longitude math mathematics mean anomalies mean motion method multiples needed neglected numerical values obtained orbit oscillations osculating plane Paperbound perturbations plane of reference portions present problems ratio relations replace resonance respect right-hand member Saturn second order short period terms sines small divisors solution special values substituted term with argument theorem transformation Trojan group true anomaly true longitude