The binary star system Krell consists of two stars, Krell A and Krell B, orbitin

Question

The binary star system Krell consists of two stars, Krell A and Krell B, orbiting each other, with no other ojects nearby. Assume Krell A, the smaller star of mass mA, moves in a circle of radius rA at speed vA. Krell B, the larger star of mass mB = 3.98mA), moves in a circle of radius rB at speed vB. The two stars are separated by a distance d. a) Find the ratio of the orbit radii rA/rB. HINT: Find the center of mass of the system! b) Find the ratio of the orbit speeds vA/vB. c) Find the ratio of the periods of orbit TA/TB

Explanation / Answer

The radius of the orbit is 3.2 times the radius of the planet

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