Galaxy Rotation Curves: Impact of Angle on Velocity and Shape

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SUMMARY

The discussion focuses on the influence of the angle between the line of sight and the galactic plane on the shape of galaxy rotation curves. It highlights that when a galaxy is viewed face-on (90 degrees), Doppler velocity measurements are ineffective due to the lack of observable motion against the cosmological redshift. The case of M33 is presented, where the rotation curve is not flat but steadily increases, suggesting a direct correlation between viewing angle and the observed rotation curve shape. The projected rotation velocity is defined as V_rot * sin(i), emphasizing the mathematical relationship involved.

PREREQUISITES
  • Understanding of Doppler effect in astronomy
  • Familiarity with galaxy rotation curves
  • Knowledge of cosmological redshift
  • Basic trigonometry related to angles and projections
NEXT STEPS
  • Research the mathematical modeling of galaxy rotation curves
  • Study the effects of viewing angles on spectral line measurements
  • Explore the properties of M33 and its rotation dynamics
  • Learn about the implications of projected velocities in astrophysics
USEFUL FOR

Astronomers, astrophysicists, and students studying galaxy dynamics and rotation curves will benefit from this discussion.

TrickyDicky
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Usually spectral lines of spiral arms are corrected for the angle of the galaxy plane with respect to our line of sight to give a velocity curve. I guess this works except in the case when the galaxy is exactly "face-on" from our view (at 90 degrees angle from our line of sight) where no Doppler velocity can be measured overimposed to the cosmological redshift.
Does the angle between line of sight and galactic plane influence the shape of the curves?
For instance I have seen rotation curves of M33 which is not edge-on and the rotation curve is not flat in this case,but raises steadily. http://www.hep.shef.ac.uk/research/dm/images/rotationCurve.jpg
Anyone knows of some relation between galaxy angle wrt our line of sight and shape of the rotation curve?
 
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I think that what you get is the projected rotation velocity, V_rot *sin(i) .
 

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