From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph

Klaus Huber

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arXiv · 2101.05041

From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph

Klaus Huber

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Abstract

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.

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Klaus Huber. 2021-01-13. From Kepler's Laws to Newtonian Motion and the Direction Angle of Hamilton's Hodograph. https://arxiv.org/abs/2101.05041

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