5.) An observation satellite is to be placed into a circular equatorial orbit so that it moves in the same direction as the earth's rotation. Using a synthetic aper- ture radar system, the satellite will store data on sur- face barometric pressure, and other weather related pa- rameters, as it flies overhead. These data will later be played back to a controlling earth station after each trip around the world. The orbit is to be designed so that the satellite is directly above the controlling earth sta- tion, which is located on the equator, once every 4 h. The controlling earth station's antenna is unable to op- erate below an elevation angle of 10° to the horizontal direction. Taking the earth's rotational period to in any be exactly 24 h, find the following quantities: a. The satellite's angular velocity in radians per second. b. The orbital period in hours. c. The orbital radius in kilometers.

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5. An observation satellite is to be placed into a
circular equatorial orbit so that it moves in the same
direction as the earth's rotation. Using a synthetic aper-
ture radar system, the satellite will store data on sur-
face barometric pressure, and other weather related pa-
ра-
rameters, as it flies overhead. These data will later be
played back to a controlling earth station after each trip
around the world. The orbit is to be designed so that
the satellite is directly above the controlling earth sta-
tion, which is located on the equator, once every 4 h.
The controlling earth station's antenna is unable to op-
erate below an elevation angle of 10° to the horizontal
in any direction. Taking the earth's rotational period to
be exactly 24 h, find the following quantities:
a. The satellite's angular velocity in radians per second.
b. The orbital period in hours.
c. The orbital radius in kilometers.
d. The orbital height in kilometers.
e. The satellite's linear velocity in meters per second.
f. The time interval in minutes for which the con-
trolling earth station can communicate with the satel-
lite on each pass.
Transcribed Image Text:5. An observation satellite is to be placed into a circular equatorial orbit so that it moves in the same direction as the earth's rotation. Using a synthetic aper- ture radar system, the satellite will store data on sur- face barometric pressure, and other weather related pa- ра- rameters, as it flies overhead. These data will later be played back to a controlling earth station after each trip around the world. The orbit is to be designed so that the satellite is directly above the controlling earth sta- tion, which is located on the equator, once every 4 h. The controlling earth station's antenna is unable to op- erate below an elevation angle of 10° to the horizontal in any direction. Taking the earth's rotational period to be exactly 24 h, find the following quantities: a. The satellite's angular velocity in radians per second. b. The orbital period in hours. c. The orbital radius in kilometers. d. The orbital height in kilometers. e. The satellite's linear velocity in meters per second. f. The time interval in minutes for which the con- trolling earth station can communicate with the satel- lite on each pass.
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