Question

What is the radius of a geosynchronous Earth satellite orbit?

a) 4.23 x 10^7 m
b) 5.76 x 10^7 m
c) 4.22 x 10^7 m
d) 6.67 x 10^7 m

Answer 1

The radius of a geosynchronous Earth satellite orbit can be calculated using a formula. The correct radius is option c) 4.23 x 10^7 m.

Step-by-step explanation:

The radius of a geosynchronous Earth satellite orbit can be calculated using the formula:

radius = cube root of (period^2 * gravitational constant * mass of Earth / 4π^2)

Using this formula, we can calculate the radius for each option and determine the correct answer.

For option a) the radius is 4.22 x 10^7 m, for option b) the radius is 5.76 x 10^7 m, for option c) the radius is 4.23 x 10^7 m, and for option d) the radius is 6.67 x 10^7 m.

Therefore, the correct answer is option c) 4.23 x 10^7 m.