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View File - University of Engineering and Technology, Taxila

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2.3 COVERAGE AREA AND SATELLITENETWORKS2.3.1 Geometric Coverage AreaClarke [2] foresaw in his 1945 article that it would be possible to providecomplete radio coverage <strong>of</strong> the world from just three satellites, provided thatthey could be precisely placed in geosynchronous orbit. Figure 2.5 demonstratesthis.The amount <strong>of</strong> coverage is an important feature in the design <strong>of</strong> earthobservation satellites. Coverage depends on altitude <strong>and</strong> look angles <strong>of</strong> theequipment, among several factors. To establish the geometric relationship <strong>of</strong>the coverage, we take a section <strong>of</strong> the satellites in Fig. 2.5 as an illustration.This section is redrawn as shown in Fig. 2.6.The maximum geometric coverage can then be defined as the portion <strong>of</strong>the earth within a cone <strong>of</strong> the satellite at its apex, which is tangential to theearth’s surface. Consider the angle <strong>of</strong> view from the satellite to the earthterminal as a; then the apex angle is 2a. The view angle has a mathematicalphysical function given by a ¼ sin 1 R e¼ sin 1 R eh 0 þ R erð2:13ÞFIGURE 2.5Complete coverage <strong>of</strong> the earth’s surface from three satellites.Copyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

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