A rocket has attained a circular orbit around the earth at 6.6 x 106 m from the center of the earth. It is traveling at a speed of 7785 m/s. We want to move it out to a circular orbit of r = 7.0 x 106 m by executing a burn, increasing its speed to vi so that it enters an eccentric orbit whose apogee is 7.0 x 106 m. When it reaches this apogee, we perform a second burn to increase its speed from v2, the speed of the eccentric orbit at the apogee, to 7560 m/s, the speed needed to maintain a circular orbit at this height. Find vị and v2.
A rocket has attained a circular orbit around the earth at 6.6 x 106 m from the center of the earth. It is traveling at a speed of 7785 m/s. We want to move it out to a circular orbit of r = 7.0 x 106 m by executing a burn, increasing its speed to vi so that it enters an eccentric orbit whose apogee is 7.0 x 106 m. When it reaches this apogee, we perform a second burn to increase its speed from v2, the speed of the eccentric orbit at the apogee, to 7560 m/s, the speed needed to maintain a circular orbit at this height. Find vị and v2.
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