Гѓngulo Sгіlido Вђ“ Arnold 2.2.3 [OFFICIAL]

g⃗=−GMr2r⃗rmodified g with right arrow above equals negative the fraction with numerator cap G cap M and denominator r squared end-fraction the fraction with numerator modified r with right arrow above and denominator r end-fraction The flux of this field through a surface is directly proportional to the solid angle subtended by . Specifically, for a point mass at the origin, the flux through

: This geometric approach explains why a hollow spherical shell exerts no gravitational force on a particle inside it: the solid angles subtended by opposite parts of the shell cancel out exactly because the force falls off as while the surface area grows as r2r squared Ángulo sólido – Arnold 2.2.3

field through a surface is proportional to the solid angle it subtends. For a closed surface, the total flux is the total flux is