PT Journal
AU Barenboim, G
   Oteo, JA
TI One pendulum to run them all
SO European Journal of Physics
JI Eur. J. Phys.
PY 2013
BP 1049
EP 1065
VL 34
IS 4
DI 10.1088/0143-0807/34/4/1049
LA English
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.
ER