# Geostationary Satellite formula

This Geosynchronous satellite refers to the satellite placed above the earth at approx. 36000 Km height. The orbit path may be either circular or elliptical. As this satellite looks stationary from the point on the earth it is referred as Geostationary.

Based on the coverage and applications there are different types of satellites viz. international and national or domestic. For example, INTELSAT is used for international communication and DOMSAT is used for domestic communications.

Speed or velocity of satellite : The speed or velocity of a geostationary satellite in orbit is approximately 3.07 kilometers per second (km/s) or
about 7,000 miles per hour (mph). This speed is required for a satellite to maintain a geostationary orbit at an altitude of approximately
35,786 kilometers (about 22,236 miles) above the Earth's equator.

Period of Orbit (T): The period of orbit is the time it takes for the satellite to complete one orbit around the Earth.

Angular Velocity (w) : The angular velocity of the satellite is the rate at which it moves around the Earth in radians per second.

Acceleration (a) : The acceleration of the satellite can be calculated using the centripetal acceleration formula,
which is the acceleration required to keep an object in circular motion.

Geostationary orbit radius : The radius of a geosynchronous orbit, also known as the geostationary orbit, is approximately 35,786 kilometers (about 22,236 miles) above the Earth's surface.
This specific altitude is required for a satellite to have an orbital period equal to the Earth's rotation period, which is approximately 24 hours.

Geostationary satellite calculator is useful for engineers in various fields including satellite design and development, telecommunication and network planning, antenna and ground station design, satellite operations and maintenance, satellite tracking and control, weather forecasting and earth observation, remote sensing and earth science etc.

Let us explore geosynchronous orbit calculator which performs satellite calculations such as speed or velocity, orbital period, angular velocity and acceleration using geostationary satellite formula.

## Geosynchronous or Geostationary Satellite calculator

The following calculator takes satellite orbit as input and calculates all the other parameters as per equations or formulas.

EXAMPLE:

INPUTS: Radius of Orbit = 41000 Km

OUTPUTS: Velocity of satellite = 3.11 km/s , period of orbit(time of period)= 82620.29 sec ,
Angular velocity = 76 x 10^{-6} rad/sec ,
Acceleration = 2.5 x 10^{-6} km/sec*sec

**Conclusion** : In summary, geostationary satellite calculators and formulas are valuable tools for engineers in various disciplines,
enabling them to plan, design, operate, and maintain satellite systems effectively.
These calculations are essential for ensuring the successful deployment and operation of geosynchronous satellites,
which play a critical role in modern communication, broadcasting, weather monitoring, and Earth observation.