review_1 - Ay 7A - Fall 2009 Review Sheet 1 Given the...

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Unformatted text preview: Ay 7A - Fall 2009 Review Sheet 1 Given the constants and equations sheet, you should feel fairly comfortable solving these problems. Orbital (2-Body) Mechanics 1. OH NO! The Suns mass has suddenly been cut in half! (a) What is the kinetic energy of the Earth right as the Sun decreases its mass? (b) What would be the new potential energy of the Earth (ignoring all other planets? (c) What would be the total energy of the Earth-Sun system? (d) What would happen to the Earth in this scenario? 2. Sketch the radial velocity of the Sun due to Jupiter ( a = 5.2 AU, M Jup = 10 3 M ) in units of cm/s versus time in years. 3. For each of the types of binary systems below, describe how you would determine the masses of the components (assuming circular orbits). (a) Visual/astrometric (b) Eclipsing (c) Spectroscopic (double and single-line) (d) Planet with the mass of the star known 4. We have a binary star system with a 1 = 3 a 2 , a total mass of 1 M , and an orbital period of 1 year. Assume circular orbits. (a) What is the total semi-major axis ( a ) of the system? (b) What are a 1 and a 2 ? (c) What are m 1 and m 2 (the masses of the individual stars)? (d) What is the velocity of each star?...
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review_1 - Ay 7A - Fall 2009 Review Sheet 1 Given the...

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