# Orbital Mechanics Problem

1. Aug 27, 2009

### F.Turner

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

### kuruman

Start by writing an equation y(x) giving the parabolic trajectory.

3. Aug 27, 2009

### F.Turner

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