Difficulty: Easy
Correct Answer: 26,600 km
Explanation:
Introduction / Context:
Global Positioning System (GPS) satellites operate in medium Earth orbit (MEO). Understanding their orbital radius (measured from Earth’s centre, not the surface) helps in grasping geometry for visibility, dilution of precision, repeat periods, and signal travel times critical to positioning accuracy.
Given Data / Assumptions:
Concept / Approach:
Convert altitude to orbital radius by adding Earth’s radius. GPS satellites are not in geostationary orbit (~35,786 km altitude; ~42,164 km orbital radius) and not in low Earth orbit (a few hundred to ~2,000 km altitude); they sit between these regimes in MEO to balance coverage, constellation size, and signal strength.
Step-by-Step Solution:
Verification / Alternative check:
Using orbital period ~11 hours 58 minutes (half a sidereal day) corroborates MEO parameters; a ~26,600 km radius yields this period under standard gravitational parameter for Earth.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing altitude (above surface) with orbital radius (from Earth’s centre) and mixing up MEO with GEO or LEO values.
Final Answer:
26,600 km
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