67 citations · 276 across the 24 of their papers we have counts for
4 papers · 1 filter
Sphere rolling on the surface of a cone
I Campos, J L Fernández-Chapou, A L Salas-Brito +1
We analyse the motion of a sphere that rolls without slipping on a conical surface having its axis in the direction of the constant gravitational field of the Earth. This nonholono…
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…
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…
Newtonian approach for the Kepler-Coulomb problem from the point of view of velocity space
H. N. Nuñez-Yepez, E. Guillaumin-España, A. Gonzalez-Villanueva +2
The hodograph of the Kepler-Coulomb problem, that is, the path traced by its velocity vector, is shown to be a circle and then it is used to investigate other properties of the mot…