final-practice-2 - Angular vs actual size(small-angle...

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Unformatted text preview: Angular vs. actual size (small-angle formula): a d D = 206265 arcsec Kepler’s Third Law, with M in Solar masses, a in AU, and P in years: 3 G. P2 = — M Kepler’s Third Lawj with M in Earth masses} a in l-(mj and P in seconds: 0.3 132:1“1 — 0 XM Newton’s Second Law of Motion: F = ma Newton’s Law of Gravity: Gml'l'H2 F: —2 ‘T Wien’s Law: 0.0029 In K "m : T Stefan-Boltzmann Law: F 0T4 0' : 567 x 10-3 w m-2 K-4 Temperatures: 9 Tp = 3T0+32 TC = 3(TF—32) TK : T0+273 Doppler effect: AA DICE Volume of a sphere of radius R: 4 V : — R3 3 71' Density: density : mass volume Typical speed of molecules of mass m in a gas at temperature T: 319T ”gas : I R: : 1.38 X 10—23 kg In2 8'2 K"1 Escape speed for planet of mass M and radius R: 1, 7 /2GM 8(1— R TIM} : 7"ng Center of mass: ...
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