USAAAO — 2026 First Round

A small satellite orbits the Earth so it stays directly above a fixed point on the equator. Using 5.97 × 10²⁴ kg for Earth’s mass and 6.37 × 10⁶ m for its radius, how far is the satellite from the surface of the Earth? Assume its mass is 300 kg and an orbital period of 86164 s. (Find the distance above the Earth’s surface, not orbital radius.)