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peeballs
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- Homework Statement
- S-waves are observed to an epicentral distance of about 103 degrees on the Earth (but no further because of the presence of the fluid core). Assuming that the S-wave velocity is constant throughout the mantle (rays are straight lines), compute the ratio of the core radius to the total radius of the Earth (You can ignore the crust).
- Relevant Equations
- B = sqrt(mu/rho), X(p) = the integral from 0 to turning point of p/(sqrt(u^2-p^2))dz
I've attached a figure I've made; I know I'm to assume the Earth is a perfect sphere in this case. Assuming the 103 degrees is measured as latitude, I've calculated the distance in kilometers (Xp in the second equation above) to be 1.1453e4 km. I know I need u = p at the turning point, but not where to go from here. I'm not convinced this figure is correct, but I'm doing my best.