First Order of Magnitude Calculations of Strain of Gravitational Waves from Man-Made sources, Pulsar, Supernova, and Binary Black Holes and Omni-directionality of Laser Interferometer Gravitational-Wave Observatory(LIGO) using Antenna Pattern Function and Simple Trigonometry
| International Journal of Applied Physics |
| © 2024 by SSRG - IJAP Journal |
| Volume 11 Issue 2 |
| Year of Publication : 2024 |
| Authors : Manya Baid |
10.14445/23500301/IJAP-V11I2P104
How to Cite?
Manya Baid, "First Order of Magnitude Calculations of Strain of Gravitational Waves from Man-Made sources, Pulsar, Supernova, and Binary Black Holes and Omni-directionality of Laser Interferometer Gravitational-Wave Observatory(LIGO) using Antenna Pattern Function and Simple Trigonometry," SSRG International Journal of Applied Physics, vol. 11, no. 2, pp. 1-5, 2024. Crossref, https://doi.org/10.14445/23500301/IJAP-V11I2P104
Abstract:
Gravitational Waves (GW) are energy spreads in the form of disturbance in the spacetime fabric. GW is produced when the quadrupole moment of the system changes; the quadrupole moment is the geometric distribution of the particles in the system. Passage of gravitational waves from an object changes the shape and size of the body, and it is measured in terms of gravitational wave strain, which is the relative change in the size of the object. This paper presents two findings: (i) first-order calculations of strain produced by man-made source, pulsar, supernova and binary black hole collision. The strain calculations are done using the first-order approximation of the change in the quadrupole moment of the system. The order of magnitude of strain by man-made source is of the order of 10−43, by a rotating pulsar is 10−26, and by supernova and binary black holes are of the order 10−21. The second finding of the paper is (ii) simple proof of omni-directionality to LIGO and VIRGO detectors, except for Π/2 and 3Π/2 angles with respect to the plane of the detector. LIGO and VIRGO are gravitational wave detectors that work on the principle of laser light interferometer
Keywords:
General Theory of Relativity, Gravitational Waves, Man-Made Source, Black Holes, Pulsar, LIGO, Omni Directionality.
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