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Calcimator

Cosmological Distance Calculator

Calculate luminosity distance, comoving distance, angular diameter distance, and lookback time using cosmological models.

Inputs

km/s/Mpc

Results

Luminosity Distance

458.25 Mpc

Comoving Distance

416.59 Mpc

Lookback Time

13.8 billion years

Angular Diameter Distance378.72 Mpc
Age at Emission0 billion years
Recessional Velocity32,077.79 km/s

Luminosity Distance

458.25 Mpc

Comoving Distance

416.59 Mpc

Lookback Time

13.8 billion years

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Redshift (z) — Cosmological redshift Accepts values from 0 to 10 (default: 0.1).
  3. Hubble Constant — Hubble constant Accepts values from 50 km/s/Mpc to 100 km/s/Mpc (default: 70 km/s/Mpc).
  4. Matter Density (Ω_m) — Matter density parameter Accepts values from 0 to 1 (default: 0.3).
  5. Dark Energy Density (Ω_Λ) — Dark energy density parameter Accepts values from 0 to 1 (default: 0.7).
  6. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  7. Luminosity Distance — shown as a numeric value. This is the primary result of this calculator.
  8. Comoving Distance — shown as a numeric value. This is the primary result of this calculator.
  9. Lookback Time — shown as a numeric value. This is the primary result of this calculator.
  10. Angular Diameter Distance — shown as a numeric value.
  11. Age at Emission — shown as a numeric value.
  12. Recessional Velocity — shown as a numeric value.
  13. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

d_L ≈ (c/H_0) × z × [1 + 0.5(1 - Ω_m + Ω_Λ)z]

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