The moon has a period of 27.3 d and is an average distance from Earth of 3.84 $\times$ 10⁵km.A communications satellite is placed in an Earth orbit at 4.23 $\times$ 10⁴ km from the center of Earth.What is the period of this satellite? A)0.87 h B)1.0 d C)3.0 d D)6.3 d E)8.0 h

Question

Quizplus · Accepted Answer

The period of a satellite in orbit can be determined using Kepler's third law, which relates the period of orbit to the semi-major axis of the orbit. Given the moon's period and distance, we can calculate the satellite's period by comparing the ratios of their distances cubed and periods squared. The satellite's period is approximately 1.0 day.

The Moon Has a Period of 27 ×\times× 105km ×\times× 104 Km from the Center of Earth

The Moon Has a Period of 27 $\times$ 10⁵km $\times$ 10⁴ Km from the Center of Earth