Orbital Period Of A Satellite Formula

For objects in the solar system this is often referred to as the sidereal period determined by a 360 revolution of one celestial.

Orbital period of a satellite formula. This equation represents the speed that a satellite at a given radius must travel in order to orbit if the orbit is due to gravity. The period of the earth as it travels around the sun is one year. Calculates the orbital radius and period and flight velocity from the orbital altitude. 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.

Velocity v square root g m r where g is a gravitational constant m is the mass of earth or other larger body and radius is the distance at which the smaller mass object is orbiting. The final equation that is useful in describing the motion of satellites is newton s form of kepler s third law. All geostationary satellites have to be located on this ring. Orbit of a satellite calculator high accuracy calculation welcome guest.

Change equation select to solve for a different unknown. You can calculate the speed of a satellite around an object using the equation. The speed can t vary as long as the satellite has a constant orbital radius that is as long as it s going around in circles. Kepler s third law or 3 rd law of kepler is an important law of physics which talks on the period of its revolution and how the period of revolution of a satellite depends on the radius of its orbit.

This equates to an orbital speed of 3 07 kilometres per second 1 91 miles per second and an orbital period of 1 436 minutes one sidereal day. The formula for orbital speed is the following. If you know the satellite s speed and the radius at which it orbits you can figure out its period. This ensures that the satellite will match the earth s rotational period and has a stationary footprint on the ground.

This law states that square of the orbital period of revolution is directly proportional to the cube of the radius of the orbit.