TY  - JOUR
AU  - Barenboim, G.
AU  - Oteo, J. A.
PY  - 2013
DA  - 2013//
TI  - One pendulum to run them all
T2  - Eur. J. Phys.
JO  - European Journal of Physics
SP  - 1049
EP  - 1065
VL  - 34
IS  - 4
PB  - Iop Publishing Ltd
AB  - The analytical solution for the three-dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial conditions. This result offers the possibility of treating Foucault and Bravais pendula as trajectories of the same system of equations, each of them with particular initial conditions. We compare them with the common two-dimensional approximations in textbooks. A previously unnoticed pattern in the three-dimensional Foucault pendulum attractor is presented.
SN  - 0143-0807
UR  - http://arxiv.org/abs/1304.7922
UR  - https://doi.org/10.1088/0143-0807/34/4/1049
DO  - 10.1088/0143-0807/34/4/1049
LA  - English
N1  - WOS:000320768100026
ID  - Barenboim+Oteo2013
ER  -