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Unformatted text preview: G = 6 . 7 × 10 − 11 m 3 kg − 1 s − 2 M ⊙ = 2 . × 10 30 kg M Earth = 6 . × 10 24 kg M Jupiter = 1 . 9 × 10 27 kg R Earth = 6400 km 1 /P inf = 1 /E + 1 /S 1 /P sup = 1 /E1 /S vV = dv r/dt v p = mvV v F = mva ω = dθ/dt ω = 2 π/P V θ = ωr v L = v r × v p = mv r × vV V circ = 2 πr/P a c = V 2 /r = ω 2 r v F = Gm 1 m 2 /r 2 ˆ r F = Gm 1 m 2 /r 2 g = GM/r 2 r = (1e 2 ) a/ (1 + e cos θ ) r ap = (1 + e ) a r peri = (1e ) a a 3 AU = P 2 yr a 3 = GMP 2 / 4 π 2 V 2 = GM (2 /r1 /a ) V 2 circ = GM/r V esc = r 2 GM/r KE = 1 / 2 mV 2 PE =GMm/r TE = KE + PE NOTE: the above symbols may have di²erent meanings in di²erent equations!...
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This note was uploaded on 10/06/2011 for the course ASTRO 210 taught by Professor Fields during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Fields
 Astronomy

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