Orbital velocity of an artificial satellite does not depend upon

Options

A. mass of the earth
B. mass of the satellite
C. radius of the earth
D. acceleration due to gravity

Explanation

To determine what the orbital velocity of an artificial satellite does not depend upon, we can start by recalling the formula for the orbital velocity (v) of a satellite in orbit around a planet:

\[ v = \sqrt{\frac{G \cdot M}{r}} \]

Where:
- \( G \) is the universal gravitational constant,
- \( M \) is the mass of the planet around which the satellite is orbiting,
- \( r \) is the distance from the center of the planet to the satellite.

### Step-by-Step Solution:

1. **Identify the Formula**:
The orbital velocity is given by the formula \( v = \sqrt{\frac{G \cdot M}{r}} \).

2. **Analyze the Variables**:
- \( G \) (gravitational constant) is a constant and does not change.
- \( M \) (mass of the planet) affects the orbital velocity; the larger the mass of the planet, the greater the gravitational pull, and thus the higher the orbital velocity.
- \( r \) (radius) is the distance from the center of the planet to the satellite. As this distance increases, the orbital velocity decreases.

3. **Consider the Mass of the Satellite**:
The formula does not include the mass of the satellite itself. This indicates that the orbital velocity is independent of the satellite's mass.

4. **Conclusion**:
Therefore, the orbital velocity of an artificial satellite does not depend on the mass of the satellite.

### Final Answer:
The orbital velocity of an artificial satellite does not depend upon the mass of the satellite.

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