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

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 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: 181

Thread 'Please tell me where I am going wrong in this integral'

##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
View full post »

Thread 'Number of quantum accessible states of a particle given T, N?'

It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and ##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise. How to compute the number of accessible quantum states of one particle? This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system. Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top