Derive kepler's third law

F = G(Mm/r^2)F = mv^2/rG(Mm/r^2) = mω^2rω = 2π/TG(Mm/r^2) = 4π^2mr/T^2GM/r^3 = 4π^2/T^2T^2 = r^3 (4π^2/GM)

Related Physics IB answers

All answers ▸

What is Olbers' paradox?


How do I use the conservation of linear momentum to solve problems?


Based on Newton's 3 laws of motion why is linear momentum always conserved?


What are elastic and inelastic collisions? After a head on elastic collision of two balls of mass m1 and m2, deduce an equation relating the final and initial velocities of both balls.