How Does Angular Radius Relate to Deflection Angle in Redshift Calculations?

Click For Summary
SUMMARY

The discussion focuses on the relationship between angular radius and deflection angle in redshift calculations, specifically in the context of gravitational lensing. Participants emphasize the importance of calculating the distance to the lensed galaxy using redshift and Hubble's constant to derive the deflection angle accurately. The equations discussed are crucial for understanding how these variables interact in astrophysical models. Clarification on the application of angular radius in relation to deflection angle is sought, indicating a need for deeper comprehension of gravitational lensing principles.

PREREQUISITES
  • Understanding of gravitational lensing concepts
  • Familiarity with redshift calculations
  • Knowledge of Hubble's constant and its application
  • Basic grasp of angular measurements in astrophysics
NEXT STEPS
  • Research gravitational lensing equations and their applications
  • Learn about calculating distances using redshift and Hubble's constant
  • Explore the concept of angular radius in astrophysical contexts
  • Study the implications of deflection angles in lensing scenarios
USEFUL FOR

Astronomers, astrophysicists, and students studying gravitational lensing and redshift phenomena will benefit from this discussion.

stuartgriffin
Messages
3
Reaction score
0
Homework Statement
A galaxy cluster of mass 3.0 × 1013M⊙ with known distance of 20 Mpc is observed in the centre of a bright ring, which is presumably a lensed galaxy. The angular radius of the ring from the cluster is 1.13 arcmin. The ring is observed to have a redshift of 0.0075. Assuming a value of 70kms−1Mpc−1 for the Hubble constant, determine whether the ring’s redshift distance is consistent at an accuracy of ~5% to the distance expected for the lensed galaxy to actually be located directly behind the cluster.
Relevant Equations
a=4GM/bc^2
V=H0D
I have attempted to link the equations, but I don't really understand how the data given fits. Does the angular radius get plugged in as the deflection angle?
 
Physics news on Phys.org
What is the distance to the lensed galaxy? How can this help you get the deflection angle?
 
Reply
  • Like
Likes   Reactions: stuartgriffin
Orodruin said:
What is the distance to the lensed galaxy? How can this help you get the deflection angle?

Ahhh, thank you, so I calculate the distance using the redshift and hubbles constant? Am I on the right lines with the equations I am using?
 
Orodruin said:
What is the distance to the lensed galaxy? How can this help you get the deflection angle?
Does this look like I'm headed on the right track?
 

Attachments

  • 16170999329211369232338957203962.jpg
    16170999329211369232338957203962.jpg
    48.4 KB · Views: 193

Similar threads

Ultra high energy cosmic ray deflection angle causes by magnetic field
  • · Replies 1 ·
Replies
1
Views
1K
High School Black hole electromagnetic spectrum
  • · Replies 4 ·
Replies
4
Views
2K
Deflection of wave in dissipative media with a complex refractive index
  • · Replies 3 ·
Replies
3
Views
2K
Engineering Deflection and Slope of a Simply Supported Beam
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Angular power spectrum dependence in redshift z and k
  • · Replies 5 ·
Replies
5
Views
2K
Why does a symmetric wavefunction imply the angular momentum is even?
  • · Replies 6 ·
Replies
6
Views
4K
How do I find the intersection of three cones?
  • · Replies 2 ·
Replies
2
Views
4K
Probability of the outcomes of ##J^2## and ##J_{z}##?
  • · Replies 4 ·
Replies
4
Views
2K
How to calculate redshift from the schwartzchild metric
  • · Replies 3 ·
Replies
3
Views
2K
How Does Special Relativity Affect Photon Emission Angles?
  • · Replies 4 ·
Replies
4
Views
2K