# Find the radii of the two stars

by leonne
Tags: radii, stars
 P: 192 1. The problem statement, all variables and given/known data From the light and velocity curves of an eclipsing, double-lined spectroscopic binary star system, it is determined that the orbital period is 3.15 yr, and the maximum radial velocities of stars A and B are 5.2 km s^-1 and 21.6 km s^-1, respectively. Furthermore, the time between first contact and minimum light is tb-ta = 0.45 days, while the length of the primary minimum is tc -tb = 0.52 days. Relative to the maximum brightness, the primary minimum is only 54.8% as bright, while the secondary minimum is 88.1% as bright You may assume the orbits are circular and seen perfectly edge on. Find the ratio of the stellar masses (mA/mB), the sum of the masses (M = mA + mB), and the individual masses (mA and mB). (b) Find the radii of the two stars. Hint: Use the speed of one star relative to the other and the eclipse timings given. 2. Relevant equations v1=(2pie a1)/p r=a(1-e^2)/(1+ecos@) m1=(4V1^2*r1)/G [c]3. The attempt at a solution[/b] so becasue its edge on that means inclination angle is 90degrees so thats the real velocity and e = 0 too so just use these formula to find masses right? now for part B would i just the formula r=a(1-e^2)/(1+ecos@) to find the radii? checked in book showed this as radii but hint says to use something different i think
 P: 192 nvm i think i figured it out

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