Question: If $\mathrm { v } _ { \mathrm { e } }$ is escape velocity and $\mathrm { V } _ { 0 }$ is orbit...

Question

If $\mathrm { v } _ { \mathrm { e } }$ is escape velocity and $\mathrm { V } _ { 0 }$ is orbital velocity of a satellite for orbit close to the earth’s surface. Then these are related by

Answer 1

Solution

Escape velocity, $\mathrm { v } _ { \mathrm { e } } = \sqrt { \frac { 2 \mathrm { GM } _ { \mathrm { E } } } { \mathrm { R } _ { \mathrm { E } } } }$ ….(i)

Where and $\mathrm { R } _ { \mathrm { E } }$ be the mass and radius or the earth respectively. The orbital velocity of a satellite close to the earth’s surface is

…. (ii)

From (i) and (ii), we get

Question: If \(\mathrm { v } _ { \mathrm { e } }\) is escape velocity and \(\mathrm { V } _ { 0 }\) is orbit...

Solution