Calculate the magnitude of the Earth's translational (orbital) angular momentum relative to the Sun when the Earth is at location A and when the Earth is at location B as displayed in the representation of the situation in the representations. The mass of the Earth is x and its distance from the Sun is x .
Mass of the Earth: X kg
Distance from the Sun: x m
The magnitude of the Earth's translational (orbital) angular momentum relative to the Sun when the Earth is at location A on the representation and when it is at location B on the representation.
Assume Earth moves in a perfect circular orbit
Assume main interaction is with the sun
The Earth makes one complete orbit of the Sun in 1 year, so you need to break down 1 year into seconds and know that the distance the Earth travels in that time is in order to find its average speed is:
With this average velocity we can find the momentum of Earth at location A as we know the mass of the Earth and now know the velocity of the Earth.
Computing for momentum we get:
We know that the magnitude of the Earth's translational angular momentum relative to the sun is given by
Compute for by inputting the known values for the variables.
It turns out that at location , and are the same as they were at location A, so also has the same value it had at location A.