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Question: A satellite is in an elliptic orbit around the earth with aphelion of \(6 \mathrm { R } _ { \mathrm...

A satellite is in an elliptic orbit around the earth with aphelion of 6RE6 \mathrm { R } _ { \mathrm { E } } and perihelion of where is the radius of the earth. The eccenttricity of the orbit is

A

12\frac { 1 } { 2 }

B

13\frac { 1 } { 3 }

C

14\frac { 1 } { 4 }

D

16\frac { 1 } { 6 }

Answer

12\frac { 1 } { 2 }

Explanation

Solution

Here,

The eccentricity of the orbit is

e=rArPrA+rpe = \frac { r _ { A } - r _ { P } } { r _ { A } + r _ { p } }