Positioning in a flat two-dimensional space-time: the delay master equation

Details Positioning in a flat two-dimensional space-time: the delay master equation Positioning in a flat two-dimensional space-time: the delay master equation

2010-05-04

arxiv.org/abs/1005.0477v1

Phys.Rev.D82:084038,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 6 figures

Scientific paper

10.1103/PhysRevD.82.084038

The basic theory on relativistic positioning systems in a two-dimensional space-time has been presented in two previous papers [Phys. Rev. D {\bf 73}, 084017 (2006); {\bf 74}, 104003 (2006)], where the possibility of making relativistic gravimetry with these systems has been analyzed by considering specific examples. Here we study generic relativistic positioning systems in the Minkowski plane. We analyze the information that can be obtained from the data received by a user of the positioning system. We show that the accelerations of the emitters and of the user along their trajectories are determined by the sole knowledge of the emitter positioning data and of the acceleration of only one of the emitters. Moreover, as a consequence of the so called master delay equation, the knowledge of this acceleration is only required during an echo interval, i.e., the interval between the emission time of a signal by an emitter and its reception time after being reflected by the other emitter. We illustrate these results with the obtention of the dynamics of the emitters and of the user from specific sets of data received by the user.

Affiliated with

Also associated with

No associations

Rating

Positioning in a flat two-dimensional space-time: the delay master equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Positioning in a flat two-dimensional space-time: the delay master equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positioning in a flat two-dimensional space-time: the delay master equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-531893