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Circular Velocity Calculator

Easily calculate orbital speed with our free Circular Velocity Calculator. Learn the formula, how it works, and why it matters in simple words.

Ever wondered how fast an object must move to stay in orbit? That’s where a Circular Velocity Calculator comes in handy. We built this tool so you can find orbital speed with just mass and radius. No stress, no tough math just clear results.

What is Circular Velocity?

Circular velocity is the speed an object needs to stay in a stable orbit around another body, like a satellite circling Earth. If the object goes slower, gravity pulls it down. If it goes faster, it may escape the orbit.

The formula for circular velocity is simple:

v = √(GM/r)

Here,

v = circular velocity (m/s)

G = gravitational constant (6.674 × 10⁻¹¹ m³/kg·s²)

M = mass of the central body (kg)

r = radius of orbit (m)

This formula shows one key fact: circular velocity doesn’t depend on the satellite’s mass, only the central body’s mass and distance.

How Our Calculator Works

Our Circular Velocity Calculator uses this exact formula. You only need to enter the mass of the central object (like Earth, Sun, or another planet) and the orbital radius. The tool does all the heavy lifting and gives you the speed in units you choose, like m/s, km/s, mph, or even knots.

How to Use the Circular Velocity Calculator

  1. Enter the mass of the central body. You can choose units like kg, g, tons, Earth mass, or Sun mass.
  2. Enter the radius of the orbit. Use meters, kilometers, miles, AU, or even light-years.
  3. Pick the unit for velocity (m/s, km/h, mph, etc.).
  4. Hit calculate. The result shows the orbital speed with easy-to-follow steps.

It’s that simple. You don’t need to know physics inside out the tool handles the math and explains each step.

Real World Example

Take Earth. Its mass is about 5.97 × 10²⁴ kg, and the radius is about 6,371 km. Put these into the formula:

v = √(6.674 × 10⁻¹¹ × 5.97 × 10²⁴ / 6.371 × 10⁶)

v ≈ 7,910 m/s

That means an object must travel at about 7.9 km/s to stay in low Earth orbit.

Why Use This Calculator?

You’ll save time. You’ll avoid errors. And you’ll get step-by-step details that show not just the answer, but also how the answer is reached. Whether you’re a student, hobbyist, or space fan, this tool is for you.

Final Verdict

Our Circular Velocity Calculator makes orbital speed simple. Instead of doing long math on paper, you’ll get instant, accurate results with a clear breakdown. Try it once, and you’ll see how easy orbital mechanics can be.

FAQs

What is circular velocity?

It’s the speed needed to keep an object in a circular orbit.

Does circular velocity depend on the mass of the satellite?

No, it depends only on the central body’s mass and the orbit radius.

What’s the difference between circular velocity and escape velocity?

Circular velocity keeps you in orbit. Escape velocity is higher it’s the speed needed to break free from gravity.

Can I calculate velocity for the Moon or Sun?

Yes. Just enter their mass and the orbit radius, and the calculator works the same way.