🌍 Gravitation & Central Force Motion
UG Physics (Honours) Notes ⭐ Newton’s Law of Gravitation Newton stated that every two masses in the universe attract each other with a force:F=Gm1m2r2F = G\frac{m_1 m_2}{r^2}F=Gr2m1m2 ✳ Differential Equation of Motion μr⃗¨=F⃗(r)\mu \ddot{\vec{r}} = \vec{F}(r)μr¨=F(r) 🌟 First Integrals of Motion 1️⃣ Angular Momentum ConservationL⃗=μr2θ˙=constant\vec{L} = \mu r^2 \dot{\theta} = \text{constant}L=μr2θ˙=constant 2️⃣ Energy ConservationE=12μr˙2+L22μr2+U(r)=constantE = … Read more