Exact Thomas precession related solutions of the inertial navigation equations

Exact geodesic precession related solutions of the inertial navigation equations

“…are constant vectors. 1) Also see the brief information report called "The Gravity Probe-B results" [9]. Similar experiments with quantum gyroscopes (angular velocity transducers) are being planned [10,11].…”

“…This paper is a natural continuation and a significant development of [1], where one can find an introduction to the topic and a bibliographical survey.…”

“…Recall that [1] studies the solutions of the inertial navigation equations obtained in [2] in the framework of special relativity, i.e., of the theory based on the 10-parameter Poincar´e group. In the present paper, we consider the solutions of the inertial navigation equations obtained in [3] in the framework of the theory based on the 15-parameter extension of the Poincar´e group, i.e., the conformal group.…”

“…The following chain of relations for the composition of transformations in the six-parameter Lorentz group was written out in the last section in [1]:…”

“…In the whole, attention is mainly paid in this paper to solutions closely related to the six solutions obtained in [1] (Secs. 1.1-1.3 and 2.1-2.3), to the above-mentioned solution for the geodesic precession and its conjugate 2) (Secs.…”