A spacecraft orbits the Earth unpowered in a circular path at a height of 314 km above the Earth's surface, as shown in the figure. At position A thrusters are applied briefly that DOUBLE the satellite's speed. You may assume: RE = 6,380,000 m; ME = 5.98E24 kg and G = 6.673E−11 N.m2/kg2. What is the period the spacecraft before the thrusters are applied? What is the angular velocity of the craft at B with respect to the Earth's centre, ωB, when the radius has increased by 19.1% from the circular orbit radius?

A spacecraft orbits the Earth unpowered in a circular path at a height of 314 km above the Earth's surface, as shown in the figure. At position A thrusters are applied briefly that DOUBLE the satellite's speed. You may assume: RE = 6,380,000 m; ME = 5.98E24 kg and G = 6.673E−11 N.m2/kg2. What is the period the spacecraft before the thrusters are applied? What is the angular velocity of the craft at B with respect to the Earth's centre, ωB, when the radius has increased by 19.1% from the circular orbit radius?

Image text
A spacecraft orbits the Earth unpowered in a circular path at a height of 314 km above the Earth's surface, as shown in the figure.
At position A thrusters are applied briefly that DOUBLE the satellite's speed.
You may assume: R E = 6 , 380 , 000 m ; M E = 5.98 E 24 k g and G = 6.673 E 11 N . m 2 / k g 2 . What is the period the spacecraft before the thrusters are applied?
What is the angular velocity of the craft at B with respect to the Earth's centre, ω B , when the radius has increased by 19.1 % from the circular orbit radius?

Detailed Answer