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Astronomy Principles and Practice Fourth Edition.pdf

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Black body radiation 215<br />

A<br />

d<br />

Ω<br />

Figure 15.3. The outflow of radiation from a surface has a range of direction. For radiation collected by an area<br />

A at distance d from the surface, the received energy emanates from the solid angle = A/d 2 .<br />

Extended<br />

source<br />

Ω<br />

Figure 15.4. When directed to an extended source, the radiation received in the field of view of a telescope is<br />

limited to some solid angle, .<br />

15.5 Black body radiation<br />

15.5.1 The basic behaviour<br />

Laboratory experiments of the 19th century showed that the strengths of the various colours in a<br />

continuous spectrum depended on the temperature of the radiating body. For example, a body glowing<br />

at a ‘dull red heat’ obviously concentrates most of its energy into the red part of the spectrum <strong>and</strong><br />

exhibits very little energy in the blue wavelengths. If the temperature of the body is made to increase,<br />

the wavelength at which the maximum of energy is radiated creeps further into the visible region of the<br />

spectrum <strong>and</strong> the amount of energy radiated at the blue wavelengths increases. By making quantitative<br />

measurements of the strength of the emitted energy at different wavelength positions, it is possible to<br />

build up the energy–wavelength distribution curve or energy envelope for any source <strong>and</strong> this can be<br />

done in the laboratory for a range of temperatures.

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