It balances centripetal force against gravitational pull to find the circular orbit speed.
Orbital Velocity Calculator
Find the speed needed to maintain a circular orbit around a planet or moon.
It balances centripetal force against gravitational pull to find the circular orbit speed.
Formula
For a circular orbit, the required velocity is
What the Orbital Velocity Calculator Calculates
The Orbital Velocity Calculator is built for satellite operators and students calculating stable circular motion in space. It balances centripetal force against gravitational pull to find the circular orbit speed.
The calculator adds altitude to the body's radius and solves the force-balance equation.
- Size satellite orbits.
- Check ISS or GPS orbit speeds.
- Teach orbital mechanics.
Orbital Velocity Calculator Formula
For a circular orbit, the required velocity is v = sqrt(GM / r)
Use the formula panel beside the calculator to keep the variables visible while you enter values.
- G = gravitational constant
- M = body mass
- r = orbital radius (radius + altitude)
How to Use the Orbital Velocity Calculator
Enter body mass, body radius, and the altitude above the surface. The calculator keeps the fields focused on this specific problem so you do not have to adapt a generic velocity form by hand.
After you press Calculate, the result panel shows orbital velocity, orbital period, and common speed units. Reset clears the example values so you can start a fresh scenario.
- Use consistent real-world measurements for the selected scenario.
- Check that time, area, mass, or temperature values are positive where the formula requires them.
- Read the step-by-step substitution before using the final number in homework, design notes, or planning.
Orbital Velocity Calculator Example
For a 400 km orbit around Earth, the required velocity is about 7,660 m/s.
How to Interpret the Orbital Velocity Calculator Result
Higher orbits require lower velocities but have much longer orbital periods.
The extra output rows give practical companion values so the answer is easier to compare against common units or planning targets.
Orbital Velocity Calculator Assumptions and Limits
The orbit is assumed to be perfectly circular and atmospheric drag is ignored.
For professional engineering, safety, aviation, ballistics, medical, or project-management decisions, treat the result as a calculation aid and verify it against the standards used in your field.
Frequently Asked Questions
Answers to common questions about orbital velocity calculations.
Orbital velocity only needs to balance gravity to stay in orbit, while escape velocity needs enough energy to leave gravity entirely.
Yes. As altitude increases, gravity weakens and the required speed for a stable orbit decreases.
The orbital period is the time it takes to complete one full revolution around the planet.
No. Similar to escape velocity, the mass of the orbiting object cancels out in the balance equation.
This formula is for circular orbits. Elliptical orbits have varying speeds at different points.