Step 1: Understanding geo-synchronous satellite motion.
A geo-synchronous satellite is a satellite that orbits the Earth with a period equal to Earth's rotation period. This allows it to return to the same position in the sky after each orbit.
Step 2: Determining the orbital period.
The Earth's rotation period is one solar day (24 hours). A geo-synchronous satellite must complete one orbit in this same time frame to maintain synchronization with the Earth's rotation.
Step 3: Explanation of other terms.
- Sidereal day (23 hours, 56 minutes): The time taken for Earth to complete one rotation relative to the stars.
- Solar day (24 hours): The time taken for Earth to complete one rotation relative to the Sun.
Since a geo-synchronous satellite is aligned with the Earth's surface relative to the Sun, its period matches one solar day.
Step 4: Selecting the correct option.
Thus, the correct answer is b. One solar day.