What do I use to determine rotational speed of solar nebula?

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SUMMARY

To determine the rotational speed of the solar nebula at a distance of 40,000 AU, one can utilize the formula L = m * v * r, where 'm' is the mass of the solar nebula, 'v' is the velocity at 40 AU (5 km/s), and 'r' is the distance from the center. It is acceptable to assume the mass of the solar nebula is equivalent to the mass of the Sun for this calculation. Additionally, the conservation of angular momentum should be considered, acknowledging that the Sun has lost angular momentum due to stellar winds.

PREREQUISITES
  • Understanding of angular momentum conservation
  • Familiarity with the formula L = m * v * r
  • Knowledge of the mass of the Sun
  • Basic concepts of stellar evolution and dynamics
NEXT STEPS
  • Research the application of L = m * v * r in astrophysical contexts
  • Explore the implications of angular momentum loss in stellar evolution
  • Investigate the relationship between distance and velocity in rotating systems
  • Learn about the dynamics of solar nebula formation and evolution
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Astronomy students, astrophysicists, and anyone interested in the dynamics of solar systems and nebulae.

shejinx
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Hi there.

I need some help with this I have confused myself ... I am trying to determin the rotational spped of our solar nebula as it would have been at r=40 000 AU. I have the facts that at 40 AU v=5km/second. what I am not sure on is do I use L=m*v*r? if so do I use the mass of the sun as the mass for the solar nebula? or is there another way using p^2=A^3?
Like I said I am very confused on this matter.

Thanks for all and any help
 
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If you're using conservation of angular momentum then you will need to assume the sun has the same angular momentum as the original nebula did. You can also assume the mass of the nebula is the same as that of the sun. Depends what you want to do really. The sun has of course lost a lot of angular momentum through stellar winds.
 

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