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Astrophysics, Cosmology & Relativity

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Astrophysics, Cosmology & Relativity

Length Contraction

The relativistic effect where an object's length in the direction of motion is measured shorter by a stationary observer than its proper…

L = L₀ / γ = L₀ √(1 - v²/c²) Meters (Spatial Length)
Astrophysics, Cosmology & Relativity

Light Year

An astronomical unit of length equal to the distance light travels in a vacuum in one Julian year (365.25 days).

1 ly = c × 1 year ≈ 9.461 × 10¹⁵ m ≈ 63,241 AU Light-Years (ly)
Astrophysics, Cosmology & Relativity

Local Group

The small galaxy cluster group comprising the Milky Way, Andromeda (M31), Triangulum (M33), and over 80 dwarf satellite galaxies.

Diameter ~ 3 Mpc (~10 million ly), Mass ~ 2 × 10¹² M_☉ Megaparsecs (Mpc)
Astrophysics, Cosmology & Relativity

Lorentz Factor

The fundamental relativistic factor by which time dilation, length contraction, and relativistic mass scale for objects moving at velocity…

γ = 1 / √(1 - v²/c²) = 1 / √(1 - β²) Dimensionless Factor (γ ≥ 1)