A system of binary stars of masses m_A and m_Bare moving is a circular orbits of radiusr_A .and r_Brespectively. If T_A and T_Bare the time periods of masses m_A and m_Brespectively then,

A system of binary stars of masses m_A and m_Bare moving is a circular

1.	A system of binary stars of masses m_A and m_Bare moving is a circular orbits of radiusr_A .and r_Brespectively. If T_A and T_Bare the time periods of masses m_A and m_Brespectively then,
Answer» `T_A = T_B` if ` m_A GT m_B " than " T_A gt T_B` If ` r_B gt r_A` than ` T_B gt T_A` `T_A/T_B = (r_A/r_B)^(3//2)` SOLUTION :`(Gm_A m_B)/((r_A + r_B)^2) = (m_Ar_A 4pi^2 )/(T_A^2) = (m_Br_B 4pi^2)/(T_B^2)` `m_A = m_B r_B , T_A = T_B`