TITLE:
A Quaternion Solution of the Motion in a Central Force Field Relative to a Rotating Reference Frame
AUTHORS:
Ioan-Adrian Ciureanu, Daniel Condurache
KEYWORDS:
Quaternion, Rotating Reference Frame, Foucault Pendulum Motion, Keplerian Motion
JOURNAL NAME:
World Journal of Mechanics,
Vol.5 No.5,
May
13,
2015
ABSTRACT: The paper presents a quaternion approach of
giving a closed form solution of the motion in a central force field relative
to a rotating reference frame. This new method involves two quaternion
operators: the first one transforms the motion from a non-inertial reference
frame to a inertial one with a very significant consequence of vanishing all
the non-inertial terms (Coriolis and centripetal forces); the second quaternion
operator provides the solution of the motion in the noninertial reference frame
by applying it to the solution in the inertial reference frame. This process
will govern the inverse transformation of the motion and is proved on two
particular cases, the Foucault Pendulum and Keplerian motions problems relative
to rotating reference frames.