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Calculate the height of a geostationary ...

Calculate the height of a geostationary satellite.

Text Solution

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We know `((T^(2)GM_(E))/(4pi^(2)))-R_(E)=h " i.e.,"a = ((T^(2)GM_(E))/(4pi^(2)))^(1//3)`
`a=(((8.64xx10^(4))xx6.67xx10^(-11)xx6.02xx10^(24))/(4xx(3.142)^(2)))^(1//3)=(75.9xx10^(21))^(1//3) {:(" 21.0000"),(ul(" 1.8802 ")),(" 22.8802 "),(" 7.6267 "),(4.234xx10^(7)):}`
`a= 42.34xx10^(6)m`
& `R_(E)=6.371xx10^(6)m`
Hence ` h = a - R_(E)= (42.34-6.371)xx10^(6)m`
`h=35,969km`
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