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(a) What is the speed of a 239 kg satellite in an approximately circular orbit 623 km above the...

Question:

(a) What is the speed of a 239 kg satellite in an approximately circular orbit 623 km above the surface of Earth?

(b) What is the period? Suppose the satellite loses mechanical energy at the average rate of 1.6 {eq}\times {/eq}10{eq}^5{/eq} J per orbital revolution. Adopt the reasonable approximation that the trajectory is a "circle of slowly diminishing radius".

(c) Determine the satellite's altitude at the end of its 1700{eq}^{\text{th}}{/eq} revolution.

(d) Determine its speed at this time.

(e) Determine its period at this time.

(f) What is the magnitude of the average retarding force on the satellite?

The Gravitational constant

It is also called universal gravitational constant, is represented by G, it is used in calculation related with gravitational effects of earth or any other planet it has been broadly studied in Albert Einstein's general theory of relativity.

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(A)

Given Data

  • Mass of satellite is, {eq}m = 390\;{\rm{kg}} {/eq}
  • Orbit of satellite is, {eq}h = 623\;{\rm{km}} {/eq}
  • Energy loss by satellite in...

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Gravitational Pull of the Earth: Definition & Overview

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Chapter 15 / Lesson 17
30K

Earth's gravitational pull is often misunderstood, but without it, life on Earth would be impossible. In this lesson, we'll define the gravitational pull and give some examples of how it is used. A quiz is provided to test your understanding.


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