Is fully equivalent to (K2) and (K3) together,īut now with the advantage of being applicable not only for elliptic,īut also for parabolic and hyperbolic trajectories. These comets have a total mechanical energy (gravitational potential energy of comet and Sun plus kinetic energy) that is negative: $$-\frac Kepler, however, was not able to describe in a significant way why the laws worked. The laws were both a radical departure from the astronomical prejudices of the time and profound tools for predicting planetary motion with great accuracy. Keplers First Law, the Law of Ellipses: A planetary orbit is an ellipse with the Sun at one. The laws were made possible by planetary data of unprecedented accuracy collected by Tycho Brahe. Some comets are repeating comets, and they are on elliptical paths. Kepler summarized planetary motion with three rules, or laws.
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