This allows for every conic section to exist given certain values of the focal length l [ell] and eccentricity ε [epsilon], not just ellipses with the sun at one focus, as its 1609 formulation states.
The third of these may be stated explicitly with a constant of proportionality  [four pi-squared over gee emm], where G is the universal gravitational constant and M is the total mass of the system for which the law is being applied. The first of these can be stated as  [arr of theta equals ell over one plus epsilon cosine of theta minus theta-naught]. This allows for every conic section to exist given certain values of the focal length l [ell] and eccentricity ε [epsilon], not just ellipses with the sun at one focus, as its 1609 formulation states. For 10 points, name the set of three laws derived empirically by their namesake using Tycho Brahe's data, the second of which states that a line joining a satellite and the body it orbits sweeps out equal areas in equal intervals of time.
The third of these may be stated explicitly with a constant of proportionality  
{Kepler’s} laws of planetary motion [or {Kepler’s} orbital {equations}]