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)

Answered by Physics tutor

2071 Views

See similar Physics IB tutors

Related Physics IB answers

All answers ▸

Tritium is a radioactive nucleide with a half life of 4500 days, determine the time for 90% of it to decay.


Alternating current produced by the generator in a nuclear power plant is supplied to the primary coil of a transformer. Explain, with reference to Faraday's law of electromagnetic induction, how a current arises in the secondary coil.


What is the potential?


A ball in a room is thrown with a speed v = 15 m/s at an angle 45 degrees above the horizontal. If the ceiling is 4 m high, will the ball hit the ceiling? If so, what is the minimum angle at which the ball will not hit the ceiling? Neglect air resistance.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning