Calculate angular momentum of a planet only velocities and radii known

AI Thread Summary
To calculate the angular momentum of a planet orbiting a star, the key equations involve L = rmv sin(theta) and L = IW, both of which require the mass of the planet. The discussion highlights that the mass is not necessary for calculating angular momentum because it cancels out when applying the conservation of angular momentum principle. The velocities and radii at points A and B are provided, with specific values given for calculations. Participants emphasize the importance of understanding the relationship between velocity, radius, and angular momentum without needing the mass. Ultimately, the focus is on applying conservation laws to simplify the problem.
eb446
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Homework Statement


a planet of mass m orbits a star. The Velocity at point A = 10^4 m/s the Radius at point A = 10^7, Vb = (10^4)/3, Rb = 3*10^7
Numerically calculate the angular momentum!

Homework Equations



The main question is how would you calculate the mass?

The Attempt at a Solution


L = rmv sintheta or L = IW but you need the mass.
E =1/2 *mv^2 - mMG/r but you need the mass for this as well. I also tried finding the value of mass by finding it in terms of one of the equations but you need more unknowns
 
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eb446 said:

Homework Statement


a planet of mass m orbits a star. The Velocity at point A = 10^4 m/s the Radius at point A = 10^7, Vb = (10^4)/3, Rb = 3*10^7
Numerically calculate the angular momentum!

Homework Equations



The main question is how would you calculate the mass?

The Attempt at a Solution


L = rmv sintheta or L = IW but you need the mass.
E =1/2 *mv^2 - mMG/r but you need the mass for this as well. I also tried finding the value of mass by finding it in terms of one of the equations but you need more unknowns

Angular momentum at a, right? Apply law of conservation of angular momentum. You will notice that mass cancels out. :smile:

BTW, welcome to PF !
 
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