An Introduction to Modern Astrophysics · Problem 18.3
Physical Processes in the Solar System — Carroll & Ostlie
Physics — Astrophysics · mass-flow-rate-binary
Problem
(a) Consider a gas of density ρ moving with velocity v across an area A perpendicular to the flow of the gas. Show that the rate at which mass crosses the area is given by Eq. (18.11).
(b) Derive Eq. (18.12) for the radius of the intersection of two identical overlapping spheres, when d≪R.