A satellite S travels in a circular orbit around the earth. A rocket is located at the apogee of its elliptical orbit for which the eccentricity is e. Determine the sudden change in speed that must occur at A so that the rocket can enter the satellite’s orbit while in free flight along the blue elliptical trajectory. When it arrives at B, determine the sudden adjustment in speed that must be given to the rocket in order to maintain the circular orbit.

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Units used: Mm Given: = 10³ km e = 0.58 a = 10 Mm b = 120 Mm Me = 5.976x 10 kg G = 6.673 x 10 - 11 N. m kg B a S ✔