Polar Coordinates: Apollo 13 Reentry: Calculating Theta

[Ry122]

in this situation where apollo 13 is reentering the atmosphere, how would you determine what theta is in the polar coordinate system for velocity?

[PLAIN]http://img37.imageshack.us/img37/7366/shuttlek.jpg

Wouldn't the angle gamma be equal to theta since gamma is equal to the angle of the shuttle with the horizontal if you use the geometry postulate for opposite adjacent angles? But if this is the case then why is it labeled gamma and not theta?

 

[tiny-tim]

Hi Ry122!

(have a theta: θ and a gamma: γ )

θ is the angle (at the centre of the Earth) between the radius where it is now and the radius where it started.

e_θ is the unit vector in the θ (ie tangential) direction.

γ is just the angle between the velocity and e_θ