Calculating Jet Size & True Length from Redshift & Hubble Constant

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The discussion focuses on calculating the jet size and true length of a quasar based on its redshift of 0.158 and a Hubble constant of 65 km/s/Mpc. To determine the projected size of the jet on the sky, the user needs to apply angular measurements, specifically using the formula for angular size distance. For the true length calculation, the user must incorporate the angle of 6 degrees in relation to the line of sight, utilizing trigonometric principles to derive the actual distance in light years.

PREREQUISITES
  • Understanding of redshift and its implications in cosmology
  • Familiarity with the Hubble constant and its units (km/s/Mpc)
  • Knowledge of angular measurements and their conversion to physical distances
  • Basic trigonometry, particularly in relation to angles and distances
NEXT STEPS
  • Research the formula for angular size distance in cosmology
  • Learn how to convert angular measurements (arc seconds) to physical distances
  • Study the application of trigonometric functions in calculating distances based on angles
  • Explore the relationship between redshift and distance in the context of cosmological models
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding quasar jet measurements and cosmological calculations.

wolfpack693
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2 part question.

1st part: I am givin the redshift of a quasar is .158 and Hubble constant of 65km/s/Mpc. I am asked to find the size of the jet(ly) as projected on the sky which has an angular measure of 15 arc secs. I've looked up ways and on any formulas that could help me but haven't found anything. Does anyone know how to get the size (formula wise).

2nd part: What is the true length in light years if it is pointed along the line of sight but off at an angle of 6 degrees?

Now this part I don't understand where to start from.

Anything helps thanks.
 
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