Orbital Period Of A Satellite Formula

This ensures that the satellite will match the earth s rotational period and has a stationary footprint on the ground.

Orbital period of a satellite formula.

Change equation select to solve for a different unknown. 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. 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.

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. You can calculate the speed of a satellite around an object using the equation. 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 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 final equation that is useful in describing the motion of satellites is newton s form of kepler s third law. Kepler s third law calculator solving for satellite orbit period given universal gravitational constant satellite mean orbital radius and planet mass. 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. Orbit of a satellite calculator high accuracy calculation welcome guest.

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. For objects in the solar system this is often referred to as the sidereal period determined by a 360 revolution of one celestial. This law states that square of the orbital period of revolution is directly proportional to the cube of the radius of the orbit. Calculates the orbital radius and period and flight velocity from the orbital altitude.

The formula for orbital speed is the following.