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Formula Sheet

# Formula Sheet - University Astronomy 1017-301 Formulae...

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University Astronomy 1017-301 3/29/10 1 of 1 Formulae, units and constants Units and astronomical data: 1 nm = 10 -9 m 1 Astronomical Unit (AU) = 1.496 × 10 11 m 1 parsec (pc) = 3.086 × 10 16 m 1 arcsec = 1/3600 degree = 1 /206265 radians 1 atomic mass unit (amu) = 1.66 × 10 -27 kg 1 year = 3.15 × 10 7 s Surface Temperature of the sun: T = 5800 K Radius of the sun: R =6.96 × 10 5 km Mass of the sun: M = 1.99 × 10 30 kg Luminosity of the sun: L = 3.90 × 10 26 W Hubble’s constant: H 0 = 73 kms -1 Mpc -1 Physical constants: Speed of light c = 3.00 × 10 8 ms -1 Constant of Gravitation: G = 6.67 × 10 -11 Nm 2 kg -2 Planck’s constant: h = 6.62 × 10 -34 J s = 4.14 × 10 -15 eV s Boltzmann constant: k = 1.38 × 10 -23 J K -1 1 electron-volt (eV) = 1.602 × 10 -19 J Stefan-Boltzmann const. σ =5.67 × 10 -8 Wm -2 K -4 Mass of Hydrogen atom: m H = 1.67 × 10 -27 kg Useful formulae: Small angle formula. Length s subtending angle θ (in radians) at distance r : s = r " Diffraction limit (in radians):
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