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Unformatted text preview: Assignment #3 PHYSICS 8.284 Due 11:04 am Friday 2006 March 3 0. This problem appeared on last week’s set. You were given the option of doing it with PS#2 or with this set. There is, unfortunately, no good treatment of the mate- rial in a text. The radial velocity for a star in a binary orbit is given by 2 a sin i v r = [ e cos + cos( + )] P 1 − e 2 where a is the semimajor axis of the star’s orbit (with respect to the center of mass), P is the period, i is the inclination of the orbital plane to the line of sight, is the angle made by the star with the position of the star at periastron and is the angle made by the position at periastron with the line of nodes (where the plane of the orbit crosses the plane of the sky), measured from nodal line to periastron in the di- rection of motion. This gives you velocity as a function of . To compare this with observations, you’d like velocity as a function of time. You can get this using the parametric representation of an ellipse based...
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This note was uploaded on 02/26/2012 for the course PHYS 8.284 taught by Professor Rappaport during the Spring '06 term at MIT.
- Spring '06