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In binary star systems we can often measure the sum of the masses of the stars and the ratio of
their masses. If m1+ m2= Mtot, and m1/m2= Y, derive an expression for the mass of each star in
terms of just Mtotand Y.
Solution
=>m1/m2 = Y
m1 =Ym2-------------1
=>m1+m2 =Mtot
Ym2+m2 = Mtot
(Y+1)m2 =Mtot
=>m2=Mtot/(Y+1)
From 1
=>m1= [Y/(Y+1)]Mtot

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In binary star systems we can often measure the sum of the masses of.pdf

  • 1. In binary star systems we can often measure the sum of the masses of the stars and the ratio of their masses. If m1+ m2= Mtot, and m1/m2= Y, derive an expression for the mass of each star in terms of just Mtotand Y. Solution =>m1/m2 = Y m1 =Ym2-------------1 =>m1+m2 =Mtot Ym2+m2 = Mtot (Y+1)m2 =Mtot =>m2=Mtot/(Y+1) From 1 =>m1= [Y/(Y+1)]Mtot