Tracing a planet's orbit with a straight hedge and a compass with the help of the hodograph and the Hamilton vector

Details Tracing a planet's orbit with a straight hedge and a compass with the help of the hodograph and the Hamilton vector Tracing a planet's orbit with a straight hedge and a compass with the help of the hodograph and the Hamilton vector

2003-02-04

arxiv.org/abs/physics/0302008v1

Physics

Classical Physics

13 text pages, 4 figures in a single pdf file

Scientific paper

10.1119/1.1561272

We describe a geometrical method for tracing a planet's orbit using its
velocity hodograph, that is, the path of the planet's velocity. The method
requires only a straight edge, a compass, and the help of the hodograph. We
also obtain analitically the hodograph and some of the features of the motion
that can be obtained from it.

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