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Orbital Momentum Calculator

Orbital Momentum Equation:

\[ L = m \times v \times r \]

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1. What Is Orbital Momentum?

Orbital momentum (angular momentum) is a measure of the quantity of rotation of a body, which is conserved in a closed system. It's a fundamental concept in physics, particularly in orbital mechanics and quantum physics.

2. How Does The Calculator Work?

The calculator uses the orbital momentum equation:

\[ L = m \times v \times r \]

Where:

Explanation: This equation calculates the angular momentum of an object moving in a circular path, which is the product of its mass, velocity, and orbital radius.

3. Importance Of Angular Momentum Calculation

Details: Angular momentum is crucial in understanding rotational dynamics, planetary motion, satellite orbits, and many quantum mechanical phenomena. It's a conserved quantity in isolated systems.

4. Using The Calculator

Tips: Enter mass in kilograms, velocity in meters per second, and radius in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is angular momentum used for?
A: Angular momentum is used in various physics applications including orbital mechanics, rotational dynamics, quantum physics, and engineering design of rotating systems.

Q2: How is orbital momentum different from linear momentum?
A: Linear momentum describes motion in a straight line (p = mv), while angular momentum describes rotational motion around a point or axis (L = mvr for circular motion).

Q3: What are the units of angular momentum?
A: The SI units are kilogram meter squared per second (kg·m²/s).

Q4: Is angular momentum conserved?
A: Yes, in a closed system with no external torques, angular momentum is conserved according to the law of conservation of angular momentum.

Q5: Can this formula be used for non-circular orbits?
A: For more complex orbits (elliptical, parabolic, etc.), the calculation becomes more complex and may require vector mathematics and integration.

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