The most useful communication satel- lites are those in geostationary orbits. A satellite in geostationary orbit remains above the same point on the Earth's

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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The most useful communication satel-
lites are those in geostationary orbits. A
satellite in geostationary orbit remains
above the same point on the Earth's
Transcribed Image Text:The most useful communication satel- lites are those in geostationary orbits. A satellite in geostationary orbit remains above the same point on the Earth's
North
Pole
London ilatitude 51'N
51
Equatorial
plane
Not to scale
Satellite
surface at all times. This is only possible
when the satellite is in an orbit in the
equatorial plane. Only 'line of sight'
. communication is possible in satellite
communications. This means that com-
munication can only occur provided
there is no obstruction between the
transmitter, dhe satellité and the
receiver.
(i) The relationship between the
period T and radius R of an orbit
is
T = kR
where k is a čonstant.
Using your answer to (a) (iv)
determine the radius of the orbit
for a geostationary satellite.
(ii) Estimate the delay between the
transmission and reception of a
signal using the satellite. Show
how you arrive at your answer.
(iii) Calculate the most northerly lati-
tude for which satellite communi-
cation is possible.
(iv) State with reasons how many
satellites are needed to provide
communication
between
all
places on the equator and indicate
on a diagram how this can be
achieved.
Transcribed Image Text:North Pole London ilatitude 51'N 51 Equatorial plane Not to scale Satellite surface at all times. This is only possible when the satellite is in an orbit in the equatorial plane. Only 'line of sight' . communication is possible in satellite communications. This means that com- munication can only occur provided there is no obstruction between the transmitter, dhe satellité and the receiver. (i) The relationship between the period T and radius R of an orbit is T = kR where k is a čonstant. Using your answer to (a) (iv) determine the radius of the orbit for a geostationary satellite. (ii) Estimate the delay between the transmission and reception of a signal using the satellite. Show how you arrive at your answer. (iii) Calculate the most northerly lati- tude for which satellite communi- cation is possible. (iv) State with reasons how many satellites are needed to provide communication between all places on the equator and indicate on a diagram how this can be achieved.
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