GATE_AE_2027_MOCK_04_Q51 GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity) NAT · 2 Marks
Flight Mechanics & Space Dynamics • Space Dynamics & Orbital Mechanics • Keplerian Orbits & Escape Velocity

A communication satellite in circular orbit around Earth has speed v = 3.0 km/s. If standard gravitational parameter \mu = 3.986 imes 10^5 km^3/s^2, what is the orbital radius r in kilometers? (Round off to nearest integer).

Answer Key:
44289

Step-by-Step Verified Solution

### Solution: v = sqrt(\mu / r) ==> r = \mu / v^2 = 398600 / (3.0)^2 = 398600 / 9 = 44288.89 ≈ 44289 km. Correct: 44289 (range 44250 to 44320).
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