1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrating the gravity formula?

  1. Sep 17, 2015 #1
    I decided to integrate the formula ##g = \frac{GM}{r^{2}}##, and I ended up getting ##v_{g} = -\frac{GM}{r}##. What is the meaning of the latter formula, and is it useful in anyway?
  2. jcsd
  3. Sep 17, 2015 #2
    It's equivalent to the gravitational potential (not the gravitational potential energy). In other words, if you're familiar with electromagnetism, it's analogous to the electric potential V. Multiplying by a second mass will give you the gravitational potential energy, and then taking the derivative after that will give you the force. Taking the derivative of what you have now would give you your original relationship, which is the strength of the gravitational field.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook