Use this tool to calculate the orbital velocity of a satellite around a celestial body based on its altitude and the body’s mass.

## How to Use the Orbital Velocity Calculator

To use this calculator, follow these simple steps:

- Enter the mass of the central body (e.g., a planet or a star) in kilograms (kg).
- Enter the radius of the orbit in meters (m).
- Click the “Calculate” button to compute the orbital velocity.
- The orbital velocity will be displayed in meters per second (m/s).

## How the Calculator Works

This calculator determines the orbital velocity of an object moving around a central body based on two input parameters: the mass of the central body and the orbital radius. The formula used for the calculation is derived from Newton’s law of gravitation:

**Orbital Velocity (v) = √(G * M / r)**

Where:

**G**is the gravitational constant, approximately equal to 6.67430 × 10^{-11}m^{3}kg^{-1}s^{-1}**M**is the mass of the central body in kilograms (kg)**r**is the orbital radius in meters (m)**v**is the orbital velocity in meters per second (m/s)

## Calculator Limitations

It’s important to note the following limitations of this calculator:

- The calculated orbital velocity assumes a perfectly circular orbit. Elliptical orbits require more complex calculations.
- Measurements need to be in consistent units (mass in kg and radius in meters) for an accurate result.
- This calculator does not account for relativistic effects, which can be significant in high-gravity or high-velocity contexts.