Astro 210 Exam 1 Front Page - G = 6 . 7 × 10 − 11 m 3 kg...

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NAME: Astronomy 210 Spring 2011 HOUR EXAM 1 1. DO NOT OPEN THIS EXAM UNTIL INSTRUCTED TO DO SO. 2. Write your answers in the blue book provided to you. 3. Show all of your work, and indicate clearly your Fnal answer! A correct Fnal answer may not receive credit if no work is shown. 4. When numerical answers are required, Frst solve the problem algebraically and then plug in numbers at the last step. This avoids errors and makes your thinking clearer to yourself and to the grader. 5. Budget your time! Don’t get stalled on any one question. 6. The total possible score is 100 points. 7. ±or your reference there are formulas below. Possibly Useful Formulae Astronomical Unit: 1AU = 1 . 5 × 10 11 m. gravitational constant :
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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 /E-1 /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 = (1-e 2 ) a/ (1 + e cos θ ) r ap = (1 + e ) a r peri = (1-e ) a a 3 AU = P 2 yr a 3 = GMP 2 / 4 π 2 V 2 = GM (2 /r-1 /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.

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