Kostenloser Matter Density Parameter Rechner

Berechnen Sie Omega_m, the fraction of the critical density in matter. Kostenloser cosmology Rechner.

kg/m³
kg/m³

Matter Density Parameter (Omega_m)

0.279831

As Percentage27.983 %

Matter Density Parameter (Omega_m) vs Matter Density (rho_m)

Formel

How the Matter Density Parameter Is Found

The density parameter Omega_m tells us the fraction of the universe's critical density that is in the form of matter.

Formula

Omega_m = rho_m / rho_crit

  • *rho_m* is the average matter density
  • *rho_crit* is the critical density
  • If Omega_total = 1 the universe is geometrically flat. Current measurements give Omega_m about 0.31.

    Lösungsbeispiel

    With rho_m = 2.65e-27 kg/m³ and rho_crit = 9.47e-27 kg/m³.

    1. 01Omega_m = rho_m / rho_crit
    2. 02Omega_m = 2.65e-27 / 9.47e-27
    3. 03Omega_m ≈ 0.2799

    Häufig Gestellte Fragen

    Does this include dark matter?

    Yes. The matter density parameter includes both baryonic (ordinary) matter and dark matter. About 85% of Omega_m is dark matter.

    What happens if Omega_total exceeds 1?

    An Omega greater than 1 implies a positively curved (closed) universe that may eventually re-collapse. Observations show Omega is very close to 1.

    How is the critical density determined?

    It depends on the Hubble constant: rho_crit = 3 H0² / (8 pi G). Different H0 values give slightly different critical densities.

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