ATRONOMY – PLANETARY CIENCE (52) CALCULATOR
Orbital Velocity
A precise tool.
What is the Orbital Velocity & How does it work?
Orbital velocity is the speed a spacecraft must travel to stay in a stable, circular orbit around a celestial body. It results from the balance between the gravitational pull of the body and the inertia of the moving object.
The velocity depends on the distance from the centre of the body, not just the altitude above the surface. As the orbital radius increases, the required speed decreases because the gravitational force weakens with distance.
In practice, engineers use the standard gravitational parameter (ΞΌ = GM) of the central body, which combines the universal gravitational constant (G) and the bodyβs mass (M). This simplifies the calculation and makes it easy to compare different planets or moons.
v = sqrt{frac{mu}{r}}
v = orbital velocity (km/s)
mu = standard gravitational parameter (kmΒ³/sΒ²)
r = orbital radius = body radius + altitude (km)
mu = standard gravitational parameter (kmΒ³/sΒ²)
r = orbital radius = body radius + altitude (km)
Parameters
Result
β
Frequently Asked Questions
What is orbital velocity?
Orbital velocity is the speed required for an object to remain in a stable, circular orbit around another celestial body.
How does orbital velocity change with distance from the center of the celestial body?
As the distance from the center increases, the required orbital velocity decreases because gravitational force weakens with distance.
What factors affect orbital velocity?
Orbital velocity depends on the mass of the central body and the altitude of the orbit above its surface.
Can you explain why orbital velocity decreases as the radius increases?
As the distance from the center of the celestial body increases, the gravitational force exerted on the spacecraft decreases, allowing it to maintain a stable orbit at a lower speed.
How is orbital velocity calculated?
Orbital velocity can be calculated using the formula v = sqrt(G * M / r), where G is the gravitational constant, M is the mass of the central body, and r is the distance from the center of the body.
What is the standard gravitation parameter used in orbital calculations?
The standard gravitation parameter (ΞΌ) combines the gravitational constant (G) and the mass (M) of the central body into a single value for easier calculations.
How does altitude affect orbital velocity?
Altitude affects orbital velocity because it changes the distance from the center of the celestial body, which in turn affects the gravitational force acting on the spacecraft.
Results are for informational purposes only and do not constitute professional advice.