How to calculate the momentum of Pluto?

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To calculate the momentum of Pluto, one can use the formula for classical momentum, which is mass multiplied by velocity. Pluto's mass is approximately 1.3E22 kg, and its orbital radius is about 5.9 billion km with a period of 248 years, making it possible to derive its velocity. However, due to Pluto's eccentric orbit, its momentum varies at different points along its path. While linear momentum is not conserved for Pluto as it follows a curved trajectory, angular momentum and total energy remain conserved in the planet-sun system. Understanding these principles is essential for accurately calculating Pluto's momentum throughout its orbit.
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If anyone knows how to calculate the momentum of Pluto it would be great if you could let me know. I am doing a science project and do not understand parts of the project. Thanks!
 
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Classical momentum is just mass * velocity

The orbital radius is around 5.9 billion km, period is 248years so it should be easy to work out velocity.
The mass is 1.3E22kg
 
mgb_phys said:
Classical momentum is just mass * velocity

The orbital radius is around 5.9 billion km, period is 248years so it should be easy to work out velocity.
The mass is 1.3E22kg

Can we know the exact momentum of Pluto at any point in orbit? It's so eccentric.
 
pixel01 said:
Can we know the exact momentum of Pluto at any point in orbit? It's so eccentric.
But rather predictably so.
Momentum is conserved and a planet has rather a lot of momentum - as you would know if you have ever tried to stop one with your bare hands.
 
mgb_phys said:
But rather predictably so.
Momentum is conserved and a planet has rather a lot of momentum - as you would know if you have ever tried to stop one with your bare hands.

I just suspect the momentum of Pluto is not the same around the orbit, it may be quite different. I may have to look back at the Kepler's law.
 
mgb_phys said:
But rather predictably so.
Momentum is conserved and a planet has rather a lot of momentum - as you would know if you have ever tried to stop one with your bare hands.

Angular momentum is more costumary to consider here.

But for linear momentum:
mv is consreved, where v is v_radial + v_tangential.
 
The linear momentum of a planet (eg. Pluto) is not conserved. The planet follows a curved path!

Conserved quantities are linear momentum of the planet+sun system (tautologically zero in the planet+sun center of mass frame), angular momentum (gravity is a central force) and total energy (gravity is a conservative force).
 
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