5.2 Force Needed for Circular Motion

Getting into Orbit
Instructions:
Click on the "Start Simulation" button to open the applet window.  You can set the initial velocity of the projectile by either pressing the "+" and "-" buttons or by clicking on the velocity vector with left mouse key and dragging to the desired value.  The magnitude of the velocity is shown at the top left corner of the canvas.  The task is to find the velocity necessary to place our object (cannon ball on top of a very high mountain) into circular orbit around the earth. You may check the effect of the velocity you have chosen by pressing the "start" button.

Navigation: You can come back to this window by pressing the "Close Simulation" button on the bottom frame of the utility.

 start.gif (693 bytes)

Explanation:
As discussed in section 5.2, any object in circular orbit is subject to a centripetal force.  The only force acting on the mass in this case is the gravitational force. Consequently, to remain in circular orbit, the centripetal force has to be equal to the gravitational pull.  Example 5.13 is an illustration of the same concept for an object at any circular orbit.
 
Source:
Fu-Kwun Hwang

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