From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph: https://arxiv.org/abs/2101.05041
In this contribution it is shown that the path from Kepler's results to Newtonian motion can be remarkably short and simple. Following this path we also give a straight forward computation of the direction angle of Hamilton's Hodograph. Then we show how the speed as function of the direction angle can be expressed and inverted elegantly using elliptic functions.
Comments: 6 pages, 3 figures