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 = 3.06mA), 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.
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
d) In this problem, k = mB/mA = 3.06. If k increases (with the distance d remaining unchanged): what would happen to the rB (the radius of orbit for larger star Krell B) and rA (the radius of orbit for smaller star Krell A)?
both rB and rA decrease
rB decreases, rA remains the same
rB increases, rA remains the same
both rB and rA increase
rB remains the same, rA decreases
rB increases, rA decreases
rB remains the same, rA increases
both rB and rA remain the same
rB decreases, rA increases