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3. The equation for an ellipse with its center at the origin is

(x/a)2 + (x/b)2 = 1

Under what mathematical condition does the ellipse become a circle? (Check with your algebra teacher if necessary).

4. Plot the ellipse choosing different values of a and b. (a < b; a = b; a > b). What do you observe?

5. In the Vis-Viva equation for velocity, how does the velocity vary around a CIRCULAR orbit?

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