Orbital Velocity Of Satellite Formula Derivation

The velocity has to be just right so that the distance to the center of the earth is always the same the orbital velocity formula contains a constant g which is called the universal gravitational constant.

Orbital velocity of satellite formula derivation. Maximum height attained by a particle when projected vertically upwards from the earth s surface. F g gmm r h 2 gravitational force f centripetal force mv 2 r h here v is orbital velocity here centripetal force is provided by gravitational force therefore gmm r h 2 mv 2 r h by working out we get v 2 gm r h h is comparatively small than r radius of earth and is negligible therefore v squareroot of gm r. Taking the square root of each side leaves the following equation for the velocity of a satellite moving about a central body in circular motion where g is 6 673 x 10 11 n m 2 kg 2 m central is the mass of the central body about which the satellite orbits and r is the radius of orbit for the satellite. The other ways to express orbital velocity are as follows.

A missile is launched with a velocity less than the escape velocity. Here you get a set of orbital velocity expressions that are derived in this post. In this process the equation of time period of revolution of earth satellite would be derived as well. Orbital velocity is derived in the following way.

Its value is 6 673 x 10 11 n m 2 kg 2 the radius of the earth is 6 38 x 10 6 m. We will derive the equation for kepler s third law using the concept of period of revolution and the equation of orbital velocity. The satellite s tendency to keep going. Orbital velocity is the velocity needed to achieve balance between gravity s pull on the satellite and the inertia of the satellite s motion.

Production of orbital kinetic energy by the electron. Also there is also a post on the definition or explanation of this velocity. V orbital gm r 1 2. V e sqrt 2 v 0.

This is approximately 17 000 mph 27 359 kph at an altitude of 150 miles 242 kilometers. Orbital velocity is defined as the velocity at which a body satellite revolves around the other body earth. Relation between escape velocity and orbital velocity of the satellite. Calculate the orbital velocity of the earth so that the satellite revolves around the earth if the radius of earth r 6 5 10 6 m the mass of earth m 5 9722 10 24 kg and gravitational constant g 6 67408 10 11 m 3 kg 1 s 2.

Orbital velocity is expressed in meter per second m s. V the orbital velocity of an object m s. R 6 5 10 6 m. You can visit our post on quick listing and descriptions of these satellite velocity expressions.

Derivation of orbital velocity. Orbital velocity derived list of what we derived.