## Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections: A Translation of Gauss's "Theoria Motus." With an Appendix |

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aberration according accuracy approximate value ascending node auxiliary angle auxiliary quantity axis calculation celestial sphere centre circle Clog coefficients comets computed conic sections conveniently corrected value corresponding cos2 cotan deduced denote derived determined difference differential distance earth eccentric anomaly eccentricity ecliptic elements ellipse equal equation error evident example expressed former fundamental plane geocentric place given h logyy heavenly body heliocentric motion heliocentric place Hence hyperbola hyperbolic motion inclination intersection intervals known lastly latter Log diff log Q logarithm logr longitude and latitude longitude in orbit manner mean anomaly method of article moreover negative nutation observed places obtained parabola parallax perihelion perturbations plane preceding article precision problem radii radius vector readily reduced referred regarded remaining right ascension right line roots sin2 sin4 sine solution substituted taken tan2 tion true anomaly true place unknown quantities whence Wherefore wholly