# Consider a satellite (mass = 83 kg) in a circular orbit about Earth. Calculate the period of the...

## Question:

Consider a satellite (mass = 83 kg) in a circular orbit about Earth. Calculate the period of the satellite given a radius r of its orbit of {eq}1.66\tilde{A}-10^{7}m {/eq}.

## The Satellite Orbit Period:

The planet's motion around a sun is analogous to a satellite's motion around a planet. The time period of the motion of a satellite around a planet depends on the mass (M) of the planet and its distance (r) from the center of the planet by the following equation:

{eq}T = 2\pi \sqrt {\dfrac{{{r^3}}}{{GM}}} {/eq}

Here,

• {eq}G = 6.674 \times {10^{ - 11}}\;\rm{K{g^{ - 1}}\,\rm{{m^3}\,{s^{ - 2}}}} {/eq} is the gravitational constant.

## Answer and Explanation: 1

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Given Data:

• The given radius of the orbit is: {eq}r = 1.66 \times {10^7}\;\rm{m} {/eq}.

We know that the mass of the earth is: {eq}M = 5.972...

See full answer below.

#### Learn more about this topic: Stable Orbital Motion of a Satellite: Physics Lab

from

Chapter 8 / Lesson 16
850

In this lab, you're going to learn about satellites in stable orbital motion. You will set up an experiment to simulate the orbit of a satellite and explore the shapes this orbit can take.