Astronomy Redshift

A dimensionless spectral shift. Distinct from Doppler recessional-velocity approximation.

z = (observed − rest) ÷ rest wavelength.

Tip: Keep “Observed Wavelength λ_obs” and “Rest Wavelength λ_rest” on the same basis (period, units, and population) before calculating Astronomy Redshift.

Cluster: Astronomy hub · Physics hub · Environmental hub · Chemistry hub · Percentage guide

Spectroscopic redshift compares observed and rest wavelengths of the same line.

Enter λ_obs and λ_rest in matching units.

Observed wavelength
Rest-frame wavelength

Redshift z

Understanding Astronomy Redshift

How we calculate. z = (observed − rest) ÷ rest wavelength. The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Astronomy Redshift case uses observed wavelength λ_obs 660 and rest wavelength λ_rest 656. Enter the same figures below to reproduce the worked path.

What is Astronomy Redshift?

A dimensionless spectral shift. Distinct from Doppler recessional-velocity approximation.

  • Same units for both λ
  • Rest > 0
  • z can be negative (blueshift)

The Formula

Redshift
z = (λ_obs − λ_rest) ÷ λ_rest

Worked Example

Scenario: λ_obs 660 nm; λ_rest 656 nm.
Step 1: (660 − 656) ÷ 656 ≈ 0.006098
Answer: Redshift z is approximately 0.0061.

Common Use Cases

  • Homework: spectral lines
  • Lab: lab-frame comparisons
  • Study: pair with v ≈ cz

Pro Tips

  • Match wavelength units
  • Identify the same transition
  • Pair with recessional velocity

Limitations: Astronomy Redshift results are educational astronomy study aids—not navigation, mission planning, or professional observing advice. Confirm constants and units with your textbook or instructor.

FAQ

Is z a percent?

No—z is dimensionless. Multiply by 100 only if your worksheet asks for percent shift.

Same as recessional velocity?

Velocity uses an approximation like v ≈ cz; this page returns z only.

Authoritative References

For astronomy study concepts, consult:

  • OpenStax Astronomy — free textbook reference
  • NASA — mission and outreach context
  • IAU — astronomical constants and naming