A satellite circling the earth completes each orbit in 5.10 x 10^3 s. What is the gravitational field strength @ the location of the satellite's orbit?

To find the gravitational field strength at the location of the satellite's orbit, you can use the formula:

g = (4π²r) / T²

Where:
- g represents the gravitational field strength
- π is a mathematical constant, approximately 3.14159
- r is the radius of the satellite's orbit
- T is the time it takes for the satellite to complete one orbit

In this case, you are given the time it takes for the satellite to complete one orbit (T = 5.10 x 10^3 s). However, you don't have the radius (r) of the satellite's orbit. To find the radius, you need additional information.

If you have the altitude (h) of the satellite above the Earth's surface, you can calculate the radius (r) using the formula:

r = R + h

Where:
- R is the radius of the Earth (approximately 6.37 × 10^6 meters)
- h is the altitude of the satellite above the Earth's surface

Once you have the radius (r), you can substitute it into the gravitational field strength formula to find the answer.