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physics.class-ph2003★ 5 cited
Tracing a planet's orbit with a straight hedge and a compass with the help of the hodograph and the Hamilton vector
E. Guillaumín-España, H. N. Núñez-Yépez, A. L. Salas-Brito
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…
physics.class-ph1998★ 8 cited
From circular paths to elliptic orbits: A geometric approach to Kepler's motion
A. González-Villanueva, E. Guillaumín-España, R. P. Martínez-y-Romero +2
The hodograph, i.e. the path traced by a body in velocity space, was introduced by Hamilton in 1846 as an alternative for studying certain dynamical problems. The hodograph of the…