Progressively Refining the Orientation and Speed of a Gravitational Wave or Plane Wave from Time of Arrival Detector Measurements

A method to progressively refine the orientation and speed of a gravitational wave or plane wave is described based on a coordinate system that is oriented along the detectors that successively detected the wave in time. A set of normalized wave propagation constraints are determined for the successive wave traversal events through the detectors based on the time of arrival at the detectors, to estimate the orientation and speed of the wave based on the number of detectors available for measurement. When multiple detectors are available, additional normalized wave propagation constraint equations can be used or different coordinate systems can be constructed to refine the estimates for the wave orientation and the wave speed. It is hoped that the presented approach with the normalized wave propagation constraints and choice of coordinate axes will be useful for efficient computations to determine wave orientation and speed for practitioners in this area. The described technique is applicable to any plane wave propagating through detectors successively in time.

By: Dilip Krishnaswamy IBM Research Division IBM India Research Lab

Published in: RI 16001 in 2016


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