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Angular Momentum In Elliptic Orbit Given Perigee Radius And Perigee Velocity Calculator

Angular Momentum of Elliptic Orbit Formula:

\[ h_e = r_{e,perigee} \times v_{perigee} \]

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m/s

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1. What is Angular Momentum of Elliptic Orbit?

Angular Momentum of Elliptic Orbit is a fundamental physical quantity that characterizes the rotational motion of an object in orbit around a celestial body, such as a planet or a star.

2. How Does the Calculator Work?

The calculator uses the Angular Momentum of Elliptic Orbit formula:

\[ h_e = r_{e,perigee} \times v_{perigee} \]

Where:

Explanation: The angular momentum is calculated as the product of the perigee radius and the satellite's velocity at perigee.

3. Importance of Angular Momentum Calculation

Details: Angular momentum is a conserved quantity in orbital mechanics and is crucial for understanding and predicting the motion of satellites and other celestial bodies in elliptical orbits.

4. Using the Calculator

Tips: Enter perigee radius in meters and velocity at perigee in meters per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is perigee in an elliptical orbit?
A: Perigee is the point in an elliptical orbit where the satellite is closest to the celestial body it is orbiting.

Q2: Why is angular momentum important in orbital mechanics?
A: Angular momentum is a conserved quantity, meaning it remains constant unless acted upon by an external torque, making it fundamental for orbital calculations.

Q3: What units are used for angular momentum?
A: Angular momentum is typically measured in square meters per second (m²/s) in the SI system.

Q4: Does this formula work for circular orbits?
A: Yes, for circular orbits, the perigee radius equals the orbital radius, and the velocity is constant throughout the orbit.

Q5: What factors affect angular momentum in an orbit?
A: Angular momentum depends on the mass of the orbiting body, its velocity, and its distance from the central body at any point in the orbit.

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