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!

Orbital Mechanics Problem

  1. Aug 27, 2009 #1
    1. The problem statement, all variables and given/known data
    A projectile in uniform gravitational field g=-g*j[tex]\hat{}[/tex] with initial location x(t=0)=[tex]_{}x[/tex]o, y(0)=[tex]_{}y[/tex]o show explicitly that the minimum value of radius of curvature [tex]\partial[/tex] of the resulting parabolic trajectory occurs at the apex and equal to ([tex]^{}v[/tex]ox)^2/g

    2. Relevant equations
    Dynamic vector kinematics equations

    3. The attempt at a solution
    I have set up two equations that i believe I will need but still i'm stuck i am not to sure if the route i'm taking is correct. Would like to know what should be the initial setup for this problem.
    Last edited: Aug 27, 2009
  2. jcsd
  3. Aug 27, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Start by writing an equation y(x) giving the parabolic trajectory.
  4. Aug 27, 2009 #3
    Okay, I think I'm heading in the right direction now, I am trying to evaluate the radius of curvature as a function of position from there i will attempt to...not sure yet
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Orbital Mechanics Problem
  1. Orbital Mechanics (Replies: 8)