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 gravitational acceleration of particles for simulation

  1. Apr 9, 2013 #1
    I've tried out the two body problem and tried to work out the trajectories with respect to their center of mass frame(located at the origin) as follows (it worked!:smile:):

    particles = m1 and m2
    Fm1 = force of m2 on m1
    Fm2 = force of m1 on m2


    a = Gm2[itex]\hat{r}[/itex] / r2
    [itex]\hat{r}[/itex] is the unit vector
    [itex]\hat{r}[/itex] = r/|r|
    a m1 = Gm2 r / |r|^3
    r = √(x^2 + y^2)

    and did this for both a1 and a2 but my doubt is this:
    why is there a substitution for r vector only when the denominator term stays constant (magnitude).
    Wouldn't this imply that particles slows down when r vector decrease?!

    at each time intervals shouldn't the magnitude of vector connecting two particles change too? please help.
    also why can't type in complex equation forms (am1 = [itex]\frac{Gm2[itex]\hat{r}[/itex] }{r2}[/itex]). it shows the syntax instead of formatted text.
     
    Last edited: Apr 9, 2013
  2. jcsd
  3. Apr 9, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    What do you mean with that?
    The denominator stays constant for circular orbits only.
    In general, it does.

    Do not nest [itex] and BB-Code tags, that does not work.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Integrating gravitational acceleration of particles for simulation
  1. Particle accelerator? (Replies: 2)

Loading...