Calculadora de Distancia Propia Gratis

Calcula la distancia propia actual a un objeto astronómico considerando la expansión cósmica.

Mpc

Proper Distance

428.0000 Mpc

Proper Distance (Mly)1,395.9648 Mly

Proper Distance vs Comoving Distance

Fórmula

Proper Distance

The proper distance is the physical distance between two objects at a particular moment in cosmic time.

Relation

d_proper = a(t) * d_comoving

  • *a(t)* is the cosmic scale factor (a = 1 today)
  • *d_comoving* is the comoving distance
  • At the present epoch a = 1, so proper distance equals comoving distance. In the past (a < 1) the physical distance was smaller.

    Ejemplo Resuelto

    A galaxy with comoving distance 428 Mpc observed at the present epoch (a = 1).

    1. 01d_proper = a(t) * d_comoving
    2. 02d_proper = 1.0 * 428
    3. 03d_proper = 428 Mpc ≈ 1396 Mly

    Preguntas Frecuentes

    What is the scale factor?

    The scale factor a(t) describes how distances in the universe have changed over time. By convention a = 1 today; at the Big Bang a = 0.

    When would I use a scale factor other than 1?

    To find the physical distance at an earlier epoch. For instance, at redshift z the scale factor was a = 1 / (1 + z).

    Is the proper distance directly observable?

    Not directly. We infer it from redshift and a cosmological model. What we observe is the luminosity distance or angular-diameter distance.

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