PhysicsClassical Physics

Kepler's Laws: Orbital Period of a Satellite 1500 km Above Earth

Use the Moon's orbital data and Kepler's third law to find a satellite's period, including the conversion from altitude to Earth-center distance.

Question

The Moon completes an Earth orbit in 27.3 days at a mean Earth-center distance of 3.84 × 10^8 m. Determine the orbital period of an artificial Earth satellite whose mean altitude above the surface is 1500 km.

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Evidence boundary

This calculation uses the data in OpenStax College Physics Example 6.7, including its Earth radius of 6380 km. It treats the satellite orbit as circular, or its stated mean distance as the semimajor axis, and neglects perturbations. The result is a textbook model prediction, not a measured spacecraft period.