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courses:ast201:2 [2023/06/10 09:22] – [4.3 Spectrum analysis] asad | courses:ast201:2 [2023/10/04 00:39] (current) – [1. Probes in astronomy] asad | ||
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===== - Probes in astronomy ===== | ===== - Probes in astronomy ===== | ||
+ | Astronomy deals with particles or waves of matter or energy coming from outer space. Many of the fundamental particles illustrated in the **standard model of particle physics** below can be found in space. | ||
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+ | {{https:// | ||
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+ | Quarks are not found in isolation, but in packets called protons or neutrons. We detect mostly protons from space using specialized detectors. Among the leptons, electrons and neutrinos are the most common particles found streaming through space. Quarks and leptons are particles of matter ([[wp> | ||
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+ | The particles of energy or force carriers ([[wp> | ||
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+ | Fermions are massive, bosons are massless. The two are described below in the context of observational astronomy. | ||
==== - Massive particles ==== | ==== - Massive particles ==== | ||
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==== - As a particle ==== | ==== - As a particle ==== | ||
+ | From the beginning of the twentieth century, quantum mechanics claimed that there are situations where light cannot be described as a wave, but rather as a stream of particles called **photons**. | ||
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+ | The energy of a photon, however, is related to the frequency of the light when it exhibits its wave property according to the equation | ||
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$$ E = h\nu = \frac{hc}{\lambda} $$ | $$ E = h\nu = \frac{hc}{\lambda} $$ | ||
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+ | where $h=6.626\times 10^{-34}$ J s is Planck' | ||
==== - As a ray ==== | ==== - As a ray ==== | ||
Photometry | Photometry | ||
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Now if we can resolve the source, the solid angle subtended by a spherical source of radius $a$ at a distance $r$ (when $a\ll r$) | Now if we can resolve the source, the solid angle subtended by a spherical source of radius $a$ at a distance $r$ (when $a\ll r$) | ||
- | $$ \Omega \approx \frac{\pi a^2}{r^2}. $$ | + | $$ \Omega \approx \frac{\pi a^2}{r^2} $$ |
- | Then the surface brightness | + | whose is angle is [[un: |
$$ S = \frac{F_o}{\Omega} = \frac{F_s}{\pi} $$ | $$ S = \frac{F_o}{\Omega} = \frac{F_s}{\pi} $$ | ||
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which is shown in the units of nW sr$^{-1}$ m$^{-2}$ Hz$^{-1}$. | which is shown in the units of nW sr$^{-1}$ m$^{-2}$ Hz$^{-1}$. | ||
- | [{{: | + | [[https:// |
The same brightness can be represented as a function of wavelength as | The same brightness can be represented as a function of wavelength as | ||
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and the corresponding plot in the units of kW sr$^{-1}$ m$^{-2}$ nm$^{-1}$ is given below. | and the corresponding plot in the units of kW sr$^{-1}$ m$^{-2}$ nm$^{-1}$ is given below. | ||
- | [{{: | + | [[https:// |
\\ | \\ | ||
Why total power emitted by a blackbody at all angles is $\pi S$? | Why total power emitted by a blackbody at all angles is $\pi S$? | ||
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For a star, we could write either $m_B=5.67$ or $B=5.67$ for the magnitude at B band. | For a star, we could write either $m_B=5.67$ or $B=5.67$ for the magnitude at B band. | ||
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==== - Absolute ==== | ==== - Absolute ==== |
courses/ast201/2.1686410541.txt.gz · Last modified: 2023/06/10 09:22 by asad