GATE_AE_2027_MOCK_02_Q51 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) NAT · 2 Marks
Flight Mechanics & Space Dynamics • Space Dynamics & Orbital Mechanics • Hohmann Transfer & Orbital Energy

A spacecraft transfers from a circular low Earth orbit of radius $r_1 = 6600\text{ km}$ to a geostationary orbit of radius $r_2 = 42200\text{ km}$ via a Hohmann transfer ellipse. What is the semi-major axis $a_{trans}$ of the transfer ellipse in kilometers?

Answer Key:
24400

Step-by-Step Verified Solution

### Solution: Semi-major axis $a = \frac{r_1 + r_2}{2} = \frac{6600 + 42200}{2} = \frac{48800}{2} = 24400\text{ km}$. Correct: 24400.
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