Explaining the Virial Theorem in Astrophysics

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SUMMARY

The discussion centers on the Virial Theorem in astrophysics, specifically the derivation of the constants 3/5 and 3/2 in the virial relations. User Shounak seeks clarification on these values, prompting responses that reference authoritative texts. The book "Galaxy Formation" by Malcom S. Longair provides a detailed derivation in section 3.5.1, while the textbook "An Introduction to Modern Astrophysics" by Carroll & Ostlie is also noted for its relevant content. These resources are essential for understanding the theorem's application in astrophysics.

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  • Understanding of the Virial Theorem in physics
  • Familiarity with gravitational potential energy concepts
  • Basic knowledge of astrophysical dynamics
  • Access to "Galaxy Formation" by Malcom S. Longair
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  • Read section 3.5.1 of "Galaxy Formation" by Malcom S. Longair for a detailed derivation
  • Study "An Introduction to Modern Astrophysics" by Carroll & Ostlie for additional insights
  • Explore the mathematical foundations of the Virial Theorem in astrophysical contexts
  • Investigate applications of the Virial Theorem in galaxy formation and dynamics
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Astrophysics students, educators, and researchers seeking a deeper understanding of the Virial Theorem and its implications in galaxy formation and dynamics.

shounakbhatta
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Hello,

I am reading Virial theorem from Wikipedia.

It states in astrophysics, virial relations are:

3/5 GM/R=3/2...

I want to know how this 3/5 and 3/2 value comes from?

If somebody can explain the step by step deduction of the Virial theorem in Astrophysics...

Thanks,

-- Shounak
 
Astronomy news on Phys.org
Why not look it up yourself? The book Galaxy Formation by Malcom S. Longair has a derivation in section 3.5.1 (page 63). Actually, you can even read this section as part of the Google Books preview:

http://books.google.ca/books?id=e-wJHSBOuZAC&printsec=frontcover#v=onepage&q&f=false

I also seem to recall that Caroll & Ostlie (the huge orange textbook that many undergrads majoring in astro use) has a section on this as well.
 

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