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Just after launch from the earth, the space-shuttle orbiter is in the 37 × 137-mi orbit shown. The first time that the orbiter passes the apogee A, its two orbital-maneuvering-system (OMS) engines are fired to circularize the orbit. If the weight of the orbiter is 175,000 lb and the OMS engines have a thrust of 6000 lb each, determine the required time duration At of the burn.

Just after launch from the earth, the space-shuttle orbiter is in the 37 × 137-mi orbit shown. The first time that the orbiter passes the apogee A, its two orbital-maneuvering-system (OMS) engines are fired to circularize the orbit. If the weight of the orbiter is 175,000 lb and the OMS engines have a thrust of 6000 lb each, determine the required time duration At of the burn.

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Answer: Δt= 71.6 sec

PROBLEMS (Unless otherwise indicated, the velocities mentioned in the problems which follow are measured from a nonrotat- ing reference frame moving with the center of the attract- ing body. Also, aerodynamic drag is to be neglected unless stated otherwise. Use g = 9.825 m/s² (32.23 ft/sec²) for the absolute gravitational acceleration at the surface of the earth and treat the earth as a sphere of radius R = 6371 km (3959 mi).)
Transcribed Image Text:PROBLEMS (Unless otherwise indicated, the velocities mentioned in the problems which follow are measured from a nonrotat- ing reference frame moving with the center of the attract- ing body. Also, aerodynamic drag is to be neglected unless stated otherwise. Use g = 9.825 m/s² (32.23 ft/sec²) for the absolute gravitational acceleration at the surface of the earth and treat the earth as a sphere of radius R = 6371 km (3959 mi).)
3/281 Just after launch from the earth, the space-shuttle orbiter is in the 37 × 137-mi orbit shown. The first time that the orbiter passes the apogee A, its two orbital-maneuvering-system (OMS) engines are fired to circularize the orbit. If the weight of the orbiter is 175,000 lb and the OMS engines have a thrust of 6000 lb each, determine the required time duration At of the burn. A -137 mi- 37 mi Problem 3/281
Transcribed Image Text:3/281 Just after launch from the earth, the space-shuttle orbiter is in the 37 × 137-mi orbit shown. The first time that the orbiter passes the apogee A, its two orbital-maneuvering-system (OMS) engines are fired to circularize the orbit. If the weight of the orbiter is 175,000 lb and the OMS engines have a thrust of 6000 lb each, determine the required time duration At of the burn. A -137 mi- 37 mi Problem 3/281
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