Question

BOX 34.5 Characteristics of Boötis Exercise 34.5.1. Verify the values of A, 4(GMIRo)n(GMo)2B, dE/dt, and dT/dt for the system i Boötis (Hint: Calculate the unitless quantities GM and ? = m1 m2 / (mit m2) 2 first. Note that GM for the sun is 1477 m.)

Answer 1

A_t = 4(GM/R_0) n(GM_w)^2/3, n = m_1m_2/(m_1 + m_2)^2 = 1.9898 times 10^30 times 3.6 times 10^30/[(1.989 times 10^30) + (3.6 times 10^30)]^2 = 0.229 GM = 6.674 times 10^-11 times 1.81 times 1048 times 1.898 times 10^27 R_0 = 6.957 times 10^8m , w = V/R(lb boot is) = 18700/1.6 times 1.95 times 1063 A_t = 4[6.674 times 10^-11 times 1.81 times 10478 times 1.898 times 1.898 times 10^27/6.957 times 1068]0.229[1477 times 18700/1.6 times 6.95 times 10^8] at = 2.689 times 10^10 \r\n dE/dt = 9.6 L_0 = 9.6 times 3.828 times 10^26 w = 3.674 times 10^27 w dT/dt = 8000 + 273.15 = 8273.15 degree