An environmental monitoring satellite is deployed to track ice sheet thickness and global sea levels, helping scientists address key global climate challenges. The satellite operates in a circular polar orbit at an altitude of h=800 kmh = 800\text{ km}h=800 km above the Earth's surface.
Using the following data:
- Mass of the Earth, ME=5.97×1024 kgM_{\text{E}} = 5.97 \times 10^{24}\text{ kg}ME=5.97×1024 kg
- Mean radius of the Earth, RE=6.37×106 mR_{\text{E}} = 6.37 \times 10^6\text{ m}RE=6.37×106 m
- Gravitational constant, G=6.67×10−11 N m2 kg−2G = 6.67 \times 10^{-11}\text{ N m}^2\text{ kg}^{-2}G=6.67×10−11 N m2 kg−2
What is the orbital period of this satellite, rounded to the nearest minute?
3.8 minutes3.8\text{ minutes}3.8 minutes
84 minutes84\text{ minutes}84 minutes
90 minutes90\text{ minutes}90 minutes
101 minutes101\text{ minutes}101 minutes