Period Of A Satellite Formula

The period of a satellite t and the mean distance from the central body r are related by the following equation.

Period of a satellite formula. 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. Orbit of a satellite calculator high accuracy calculation welcome guest. We will derive the equation for kepler s third law using the concept of period of revolution and the equation of orbital velocity. In this process the equation of time period of revolution of earth satellite would be derived as well.

The period of a satellite is the time it takes it to make one full orbit around an object. For objects in the solar system this is often referred to as the sidereal period determined by a 360 revolution of one celestial. Calculates the orbital radius and period and flight velocity from the orbital altitude. 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 equation does not contain the term m which shows that the critical velocity is independent of the mass of the satellite. If the period of the satellite is slightly longer than an integer fraction of a day. If you know the satellite s speed and the radius at which it orbits you can figure out its period. 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.

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. 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. You can calculate the speed of a satellite around an object using the equation. We ll also solve sample numerical problem here using this law.

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