GATE_AE_2027_MOCK_01_Q25 GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration) NAT · 1 Mark
Flight Mechanics & Space Dynamics • Space Dynamics & Orbital Mechanics • Kepler's Laws & Two-Body Problem

A satellite orbits Earth in a circular orbit at altitude $h = 600\text{ km}$ above the surface. Given Earth's mean radius $R_E = 6400\text{ km}$ and gravitational parameter $\mu = 3.986 \times 10^5\text{ km}^3/\text{s}^2$, what is its orbital speed in km/s? (Round off to two decimal places).

Answer Key:
7.55

Step-by-Step Verified Solution

### Solution: Orbital radius $r = R_E + h = 6400 + 600 = 7000\text{ km}$. Circular speed $v = \sqrt{\mu / r} = \sqrt{398600 / 7000} = \sqrt{56.9428} \approx 7.546 \approx 7.55\text{ km/s}$. Correct: 7.55 (range 7.50 to 7.60).
← Prev Question Next Question →
Solve in CBT Simulator