A satellite is moving in a low nearly circular orbit of radius approximately Rₑ, Earth's radius. Its speed is instantaneously increased in the direction of motion to $\sqrt{}$ 3/2 times its original value. If the farthest distance from Earth's centre reached in the new orbit is R, find R.
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Question

A satellite is moving in a low nearly circular orbit of radius approximately Rₑ, Earth's radius. Its speed is instantaneously increased in the direction of motion to $\sqrt{}$ 3/2 times its original value. If the farthest distance from Earth's centre reached in the new orbit is R, find R.

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G1 Physics · Accepted Answer

Step 1: For a circular orbit, v = √(GM/r), L = m√(GMr), K = GMm/(2r), U = -GMm/r, E = -GMm/(2r), and T = 2π√(r³/GM). Step 2: Form the ratio or energy change using the given radii/masses. Step 3: Simplify to the requested value. Final: B: 3Rₑ.

A satellite is moving in a low nearly circular orbit of radius approximately Rₑ, Earth's radius. Its speed is instantaneously increased in the direction of motion to \sqrt{} ​ 3/2 times its original value. If the farthest distance from Earth's centre reached in the new orbit is R, find R.

A satellite is moving in a low nearly circular orbit of radius approximately Rₑ, Earth's radius. Its speed is instantaneously increased in the direction of motion to \sqrt{} 3/2 times its original value. If the farthest distance from Earth's centre reached in the new orbit is R, find R.