Orbital Angular Momentum Calculator

Angular momentum measures how much rotational 'oomph' an orbiting body carries — for a body moving tangentially in a circular orbit, it depends on its mass, speed, and how far it is from the center.

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Angular Momentum -
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What Is a Orbital Angular Momentum Calculator?

Angular momentum measures how much rotational 'oomph' an orbiting body carries — for a body moving tangentially in a circular orbit, it depends on its mass, speed, and how far it is from the center. Angular momentum is conserved in orbital mechanics, which is why planets sweep out equal areas in equal times (Kepler's Second Law).

How to Use This Orbital Angular Momentum Calculator

  1. Enter the mass of the orbiting body in kilograms.
  2. Enter its orbital speed in meters per second.
  3. Enter its orbital radius in meters.
  4. Click Calculate to get the orbital angular momentum.

Formula

Worked Example

A 1000 kg satellite orbits at 7.67 km/s (7670 m/s) at a radius of 6.771×10⁶ m. L = 1000 × 7670 × 6.771×10⁶ ≈ 5.19×10¹³ kg·m²/s.

Frequently Asked Questions

What is orbital angular momentum?

It measures the rotational momentum of an orbiting body, calculated as mass × orbital velocity × orbital radius (for a simplified circular orbit).

Is angular momentum conserved in orbit?

Yes — in the absence of external torque, a body's orbital angular momentum stays constant, which is why objects speed up near periapsis and slow down near apoapsis in elliptical orbits.

What units does this use?

Typically kg·m²/s in SI units, combining mass (kg), velocity (m/s), and radius (m).

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