Solution of the inverse problem in spherical gravitational wave detectors using a model with independent bars
C\'esar H. Lenzi, Nadja S. Magalh\~aes, Rubens M. Marinho Jr., C\'esar, A. Costa, Helmo A. B. Ara\'ujo, Odylio D. Aguiar

TL;DR
This paper introduces a new data analysis method called the method of independent bars for spherical gravitational wave detectors, enabling source localization even with incomplete transducer data, and generalizes existing techniques.
Contribution
The paper presents the method of independent bars, a novel approach for analyzing data from spherical gravitational wave detectors that works with partial transducer data and extends previous methods.
Findings
Successfully simulated gravitational wave detection using the new method.
Able to determine source direction with fewer operational transducers.
Generalizes the existing mode channels method.
Abstract
The direct detection of gravitational waves will provide valuable astrophysical information about many celestial objects. The SCHENBERG has already undergone its first test run. It is expected to have its first scientific run soon. In this work a new data analysis approach is presented, called method of independent bars, which can be used with SCHENBERG's data . We test this method through the simulation of the detection of gravitational waves. With this method we find the source's direction without the need to have all six transducers operational. Also we show that the method is a generalization of another one, already described in the literature, known as the mode channels method.
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