Vertical oscillation frequency

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SUMMARY

The vertical oscillation frequency in the Solar neighborhood of the Milky Way, given a constant density of P = 0.15 M⊙ pc−3, can be calculated using the formula v = (4πGρ)1/2, where G is the gravitational constant and ρ is the density. The relationship between frequency and oscillation period is defined by p = 2π/v. This discussion clarifies the application of mechanics principles to astrophysical contexts, specifically in calculating oscillation frequencies based on density.

PREREQUISITES
  • Understanding of gravitational physics and density concepts
  • Familiarity with oscillation frequency formulas in mechanics
  • Basic knowledge of astrophysics, particularly the Milky Way's structure
  • Proficiency in mathematical manipulation of equations
NEXT STEPS
  • Research the gravitational constant G and its significance in astrophysics
  • Learn about the dynamics of stellar oscillations in galactic structures
  • Explore the relationship between density and gravitational effects in astrophysical contexts
  • Study the derivation and application of the oscillation frequency formula v = (4πGρ)1/2
USEFUL FOR

Astrophysics students, researchers in gravitational dynamics, and anyone interested in the oscillatory behavior of celestial structures will benefit from this discussion.

leonne
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Homework Statement


Let’s assume the MilkyWay disk in the Solar neighborhood has a constant density,P = 0.15 M pc−3. In that case, what is the vertical oscillation frequency in the
Solar neighborhood? What is the oscillation period?


Homework Equations


p=2pie/v
from my mechanics class i have v=(k/m)^1/2


The Attempt at a Solution


would I use the same formula as i would in mechanics? I know frequency in mechanics is w=(k/m)^1/2 , but why am i given density. in my notes in the astrophysics class i have v^2=d^2 (I) /dz^2| z=0 would I use this to find it? note (I) is some greek letter i think
 
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nvm found it its v=4pieGp)^1/2
 

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