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Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 51p
Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 51p

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# Geosynchronous Satellites. Many satellites are moving in a

ISBN: 9780321675460 31

## Solution for problem 51P Chapter 13

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 51P

Geosynchronous Satellites. Many satellites are moving in a circle in the earth’s equatorial plane. They are at such a height above the earth’s surface that they always remain above the same point. (a) Find the altitude of these satellites above the earth’s surface. (Such an orbit is said to be ?geosynchronous.?) (b) Explain, with a sketch, why the radio signals from these satellites cannot directly reach receivers on earth that are north of 81.3° N latitude.

Step-by-Step Solution:

Solution to 51P Step 1 of 1 Introduction Geosynchronous satellites are those which are at earth’s equatorial plane and whose time period is equal to the period of rotation of earth in its own axis. Thus T=24h(approx). The geosynchronous satellite revolves around the earth, therefore by using the Kepler’s law of periods which states that the square of the period of revolution of a body around a mass is directly proportional to the cube of the radius of the orbit. Thus, Given, Mass of earth =5.972x10 kg T=24h=24x60x60s=86400s R=42105855.43m A=R-radius of earth A~36000km (b) Geosynchronous satellites can service the regions of latitude +75 and -75 . 0 0 The radio signals from the satellite will not reach the receivers at 81.3 N 0 because of the curvature of the earth and the perturbation of the orbit. Geosynchronous satellites serves the most populated areas on earth. To serve latitudes greater that +75 N, other orbits like Molniya orbits are used.

Step 2 of 1

##### ISBN: 9780321675460

This full solution covers the following key subjects: EARTH, satellites, such, surface, geosynchronous. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 51P from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 51P from 13 chapter was answered, more than 676 students have viewed the full step-by-step answer. The answer to “Geosynchronous Satellites. Many satellites are moving in a circle in the earth’s equatorial plane. They are at such a height above the earth’s surface that they always remain above the same point. (a) Find the altitude of these satellites above the earth’s surface. (Such an orbit is said to be ?geosynchronous.?) (b) Explain, with a sketch, why the radio signals from these satellites cannot directly reach receivers on earth that are north of 81.3° N latitude.” is broken down into a number of easy to follow steps, and 76 words. University Physics was written by and is associated to the ISBN: 9780321675460.

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