ch13-p059 - 59 Each star is attracted toward each of the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
59. Each star is attracted toward each of the other two by a force of magnitude GM 2 / L 2 , along the line that joins the stars. The net force on each star has magnitude 2( GM 2 / L 2 ) cos 30 ° and is directed toward the center of the triangle. This is a centripetal force and keeps the stars on the same circular orbit if their speeds are appropriate. If R is the radius of the orbit, Newton’s second law yields ( GM 2 / L 2 ) cos 30 ° = Mv 2 / R . The stars rotate about their center of mass (marked by a circled dot on the diagram above) at the intersection of the perpendicular bisectors of the triangle sides, and the radius of the orbit is the distance from a star to the center of mass of the three-star system. We take the coordinate system to be as shown in the diagram, with its origin at the left-most star. The
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online