Getting the hubble constant from time delay in a gravitational lens

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SUMMARY

This discussion focuses on calculating the Hubble constant (H0) using time delay measurements in the gravitational lens QSO 0957+561. The participant has already determined the distance Dls and is seeking to calculate the relevant distances Dl and Ds using the provided equation. They possess data on angular separation, redshifts of the lensing galaxy and quasar, and the time delay between images. The user inquires about the best lensing model to apply, with a preference for the isothermal sphere model based on recommendations.

PREREQUISITES
  • Understanding of gravitational lensing concepts
  • Familiarity with cosmological redshifts and distance calculations
  • Knowledge of the Hubble constant and its significance in cosmology
  • Experience with lensing models, particularly the isothermal sphere model
NEXT STEPS
  • Research the calculation of angular diameter distances Dl and Ds in cosmology
  • Study the application of the isothermal sphere model in gravitational lensing scenarios
  • Explore the implications of time delay measurements on cosmological parameters
  • Investigate the use of software tools for simulating gravitational lensing effects
USEFUL FOR

Students and researchers in cosmology, astrophysicists analyzing gravitational lensing, and anyone interested in determining the Hubble constant through observational data.

cegec
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Homework Statement



I am working on a project for my cosmology course. I need to determine the Hubble constant from time delay in a gravitational lens. We are using QSO 0957+561 for our data. My question is how do I determine the relevant distances Dl, Ds? I have Dls already. The equation for that is as follows:

Homework Equations



Dls=\frac{2c}{H_{o}}\frac{\sqrt{1+z_{l}}(1+z_{s}^{2})-\sqrt{1+z_{s}}(1+z_{l}^{2})}{(1+z_{s})^{2}(1+z_{l})}

The Attempt at a Solution



Is it also possible to calculate the distances from the time delay? Or should I work strictly with the redshifts of the lens and the source?

thanks
 
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i should have added that I also know the angular separation between the two images caused by the lens, the redshifts of both the lensing galaxy and the quasar, and the time delay between the two images. also, does anybody know which lensing model would be best for this scenario? I can use the point mass, isothermal sphere, and constant density sheet. I've heard isothermal is good.
 

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