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Astronomical Unit (a.u.) of Length

The astronomical unit (a.u.) is a unit of length used primarily in astronomy to describe distances within our solar system. It is defined as the average distance between the Earth and the Sun.

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  1 astronomical unit ≈ 149,597,870.7 kilometers (about 93 million miles)

  
  
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  Used to measure distances between planets and other objects in the solar system

  
  
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  Provides a convenient scale for expressing space distances that are too large for kilometers but too small for light-years

  
  

The astronomical unit helps astronomers communicate and calculate orbits, planetary positions, and space missions with clarity and precision.

Planck Length

The Planck length is the smallest meaningful unit of length in physics, representing a fundamental scale at which classical ideas about gravity and space-time break down and quantum effects dominate.

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  It is defined as approximately 1.616 × 10⁻³⁵ meters.

  
  
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  The Planck length is derived from fundamental constants: the speed of light, Planck’s constant, and the gravitational constant.

  
  
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  It sets a theoretical limit below which the very concepts of space and distance may lose conventional meaning.

  
  
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  Used mainly in theories of quantum gravity and string theory.

  
  

Key facts:

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  1 Planck length ≈ 1.616 × 10⁻³⁵ m

  
  
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  Smallest scale in quantum physics and cosmology

  
  
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  Represents a scale where quantum effects of gravity become significant

  
  

The Planck length is crucial for understanding the fabric of the universe at its most fundamental level.