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.

Orbital period of a satellite formula.

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. This law states that square of the orbital period of revolution is directly proportional to the cube of the radius of the orbit. The period of the earth as it travels around the sun is one year. 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. 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. You can calculate the speed of a satellite around an object using the equation. 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 average radius of orbit for the satellite.

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. Kepler s third law calculator solving for satellite orbit period given universal gravitational constant satellite mean orbital radius and planet mass. The final equation that is useful in describing the motion of satellites is newton s form of kepler s third law. Change equation select to solve for a different unknown.

All geostationary satellites have to be located on this ring. 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. The period of a satellite is the time it takes it to make one full orbit around an object.

If you know the satellite s speed and the radius at which it orbits you can figure out its period.