Period Of A Satellite Formula

The period of the earth as it travels around the sun is one year.

Period of a satellite formula. In conjunction with newton s law of universal gravitation giving the attractive force between two masses we can find the speed and period of an artificial satellite in orbit around the earth. In this process the equation of time period of revolution of earth satellite would be derived as well. The square of the time period of the satellite is directly proportional to the cube of the radius of orbit r of the satellite. The period of a satellite t and the mean distance from the central body r are related by the following equation.

This ground track is shifted east or west depending on the longitude of the ascending node which can vary over time due to perturbations of the orbit. We ll also solve sample numerical problem here using this law. Where t is the period of the satellite r is the average radius of orbit for the satellite distance from center of central planet and g is 6 673 x 10 11 n m 2 kg 2. Kepler s third law relates the period and the radius of objects in orbit around a star or planet.

A satellite whose orbital period is an integer fraction of a day e g 24 hours 12 hours 8 hours etc will follow roughly the same ground track every day. The orbital period is the time a given astronomical object takes to complete one orbit around another object and applies in astronomy usually to planets or asteroids orbiting the sun moons orbiting planets exoplanets orbiting other stars or binary stars. We will derive the equation for kepler s third law using the concept of period of revolution and the equation of orbital velocity. If the period of the satellite is slightly longer than an integer fraction of a day.

Calculates the orbital radius and period and flight velocity from the orbital altitude. Orbit of a satellite calculator high accuracy calculation welcome guest. The period of a satellite is the time it takes it to make one full orbit around an object. The equation does not contain the term m which shows that the critical velocity is independent of the mass of the satellite.

You can calculate the speed of a satellite around an object using the equation. Artificial satellites and.