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Astronomy Principles and Practice Fourth Edition.pdf

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398 High energy instruments <strong>and</strong> other detectors<br />

Figure 23.15. A simple layout for a possible gravity wave detector.<br />

theory of general relativity. An estimate of the expected flux can be made by taking the simple case of<br />

a stellar binary system. For such a source, the energy L G released may be expressed as<br />

L G ≈ (2 × 10 −63 )<br />

M 2 1 M2 2<br />

(1 + 30e 2 )<br />

(M 1 + M 2 ) 2/3 P 10/3<br />

where M 1 , M 2 are the component masses, P is the orbital period <strong>and</strong> e is the orbital eccentricity. In a<br />

typical dwarf nova system, M 1 = M 2 = 1·5 × 10 30 kg, P = 10 4 s <strong>and</strong> the simple case of a circular<br />

orbit gives e = 0. Substituting for these values gives<br />

L G = 2 × 10 24 W.<br />

If the system is at a typical stellar distance, say 250 pc, the flux arriving at the Earth is<br />

F G = 3 × 10 −15 Wm −2 .<br />

When compared with other radiations received from celestial objects, this is by no means small.<br />

For example, limiting faintness for detection of a radio source is approximately 10 −29 Wm −2 Hz −1 .<br />

However, the means of detection is very different from that for radio waves.<br />

The progress of gravitational waves through a medium can only be detected by its effect on the<br />

mass centres in the body. In other words, it is the deformity or strain within the detector that needs to<br />

be measured as the gravity waves pass through it. Translating the gravitational flux to the anticipated<br />

amount of movement within a test mass detector suggests that the possible changes in length are<br />

exceedingly small, that is of the order of 10 −12 times the diameter of a hydrogen atom.<br />

The challenge of the detection of gravitational radiation was taken up by Weber in the United<br />

States <strong>and</strong>, in 1969, claims were made that gravity waves were being observed from the centre of the<br />

Galaxy. However, the detection was not confirmed by other workers <strong>and</strong> since that time, the sensitivity<br />

of various detector systems has increased by very large factors—still without success. A possible<br />

working arrangement for a gravity way detector is depicted in figure 23.15.<br />

Currently, there are several experimental search groups pioneering systems of gravitational<br />

wave detectors. These include instruments such as GEO600 (Germany/UK), LIGO (USA), VIRGO<br />

(Italy/France) <strong>and</strong> TAMA300 (Japan). Their arrangements are based on a pair of monolithic masses

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