If a satellite is orbiting the earth very clo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The orbital velocity $v_0$ of a satellite orbiting at a height $h$ above the Earth's surface is given by $v_0 = \sqrt{\frac{GM}{R+h}}$.For a satel

Vedclass · Accepted Answer

The radius of the earth only

Vedclass · Answer

(B) The orbital velocity $v_0$ of a satellite orbiting at a height $h$ above the Earth's surface is given by $v_0 = \sqrt{\frac{GM}{R+h}}$.For a satellite orbiting very close to the Earth's surface,the height $h$ is negligible compared to the radius of the Earth $R$ (i.e.,$h \approx 0$).Thus,the formula becomes $v_0 = \sqrt{\frac{GM}{R}}$.Since $g = \frac{GM}{R^2}$,we can write $GM = gR^2$.Substituting this into the velocity formula: $v_0 = \sqrt{\frac{gR^2}{R}} = \sqrt{gR}$.Therefore,the orbital velocity of a satellite close to the Earth's surface depends on the acceleration due to gravity $g$ and the radius of the Earth $R$.

If a satellite is orbiting the earth very close to its surface,then the orbital velocity mainly depends on

Similar Questions

$A$ satellite $S$ is moving in an elliptical orbit around the Earth. The mass of the satellite is very small compared to the mass of the Earth.

Two satellites $P$ and $Q$ go round a planet in circular orbits having radii $3R$ and $R$ respectively. If the speed of satellite $P$ is $2V$,what will be the speed of satellite $Q$?

The time period of an artificial satellite in a circular orbit of radius $R$ is $2 \, days$ and its orbital velocity is $v_0$. If the time period of another satellite in a circular orbit is $16 \, days$,then:

Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between the planet and the star is proportional to $R^{-5/2}$,then,

The centripetal force acting on a satellite orbiting around the Earth and the gravitational force of the Earth acting on the satellite are both equal to $F$. The net force on the satellite is

Vedclass Test Series

Exam Paper Generator

Online Exam Module