Question
Which factor is not needed when calculating the velocity of a satellite orbiting a planet?(1 point)
Responses
the universal gravitational constant
the universal gravitational constant
the mass of the planet
the mass of the planet
the orbital radius of the satellite
the orbital radius of the satellite
the mass of the satellite
Responses
the universal gravitational constant
the universal gravitational constant
the mass of the planet
the mass of the planet
the orbital radius of the satellite
the orbital radius of the satellite
the mass of the satellite
Answers
GPT-4o mini
The factor that is not needed when calculating the velocity of a satellite orbiting a planet is **the mass of the satellite**.
In orbital mechanics, the velocity of a satellite in a circular orbit can be calculated using the formula:
\[ v = \sqrt{\frac{GM}{r}} \]
where \( v \) is the orbital velocity, \( G \) is the universal gravitational constant, \( M \) is the mass of the planet, and \( r \) is the orbital radius (distance from the center of the planet to the satellite). The mass of the satellite does not appear in this equation, hence it is not needed for this calculation.
In orbital mechanics, the velocity of a satellite in a circular orbit can be calculated using the formula:
\[ v = \sqrt{\frac{GM}{r}} \]
where \( v \) is the orbital velocity, \( G \) is the universal gravitational constant, \( M \) is the mass of the planet, and \( r \) is the orbital radius (distance from the center of the planet to the satellite). The mass of the satellite does not appear in this equation, hence it is not needed for this calculation.