31.5: Some Useful Constants for Astronomy (Appendix E)
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Table \(\PageIndex{1}\): Physical Constants | |
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Name | Value |
speed of light (c) | 2.9979 × 108 m/s |
gravitational constant (G) | 6.674 × 10−11 m3/(kg s2) |
Planck’s constant (h) | 6.626 × 10−34 J-s |
mass of a hydrogen atom (MH) | 1.673 × 10−27 kg |
mass of an electron (Me) | 9.109 × 10−31 kg |
Rydberg constant (R∞) | 1.0974 × 107 m−1 |
Stefan-Boltzmann constant (σ) | 5.670 × 10−8 J/(s·m2 deg4)1 |
Wien’s law constant (λmaxT) | 2.898 × 10−3 m K |
electron volt (energy) (eV) | 1.602 × 10−19 J |
energy equivalent of 1 ton TNT | 4.2 × 109 J |
Table \(\PageIndex{2}\): Astronomical Constants | |
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Name | Value |
astronomical unit (AU) | 1.496 × 1011 m |
Light-year (ly) | 9.461 × 1015 m |
parsec (pc) | 3.086 × 1016 m = 3.262 light-years |
sidereal year (y) | 3.156 × 107 s |
mass of Earth (MEarth) | 5.974 × 1024 kg |
equatorial radius of Earth (REarth) | 6.378 × 106 m |
obliquity of ecliptic | 23° 26’ |
surface gravity of Earth (g) | 9.807 m/s2 |
escape velocity of Earth (vEarth) | 1.119 × 104 m/s |
mass of Sun (MSun) | 1.989 × 1030 kg |
equatorial radius of Sun (RSun) | 6.960 × 108 m |
luminosity of Sun (LSun) | 3.85 × 1026 W |
solar constant (flux of energy received at Earth) (S) | 1.368 × 103 W/m2 |
Hubble constant (H0) | approximately 20 km/s per million light-years, or approximately 70 km/s per megaparsec |
Footnotes
1deg stands for degrees Celsius or kelvins