Girish Mahajan (Editor)

Light second

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Unit of
  
length

imperial/US units
  
186282 mi

1 light-second in ...
  
... is equal to ...

Light-second

SI units
  
7008299792458000000♠2.99792458×10 m

astronomical units
  
0.0020040 AU 3.1688×10 ly 9.7156×10 pc

The light-second is a unit of length useful in astronomy, telecommunications and relativistic physics. It is defined as the distance that light travels in free space in one second, and is equal to exactly 7008299792458000000♠299792458 metres (just over 7005186282000000000♠186282 miles).

Contents

Just as the second forms the basis for other units of time, the light-second can form the basis for other units of length, ranging from the light-nanosecond (just under one international foot) to the light-minute, light-hour and light-day, which are sometimes used in popular science publications. The more commonly used light-year is also presently defined to be equal to precisely 7007315576000000000♠31557600 light-seconds, since the definition of a year is based on a Julian year (not Gregorian year) of exactly 365.25 days, each of exactly 7004864000000000000♠86400 SI seconds.

Use in telecommunications

Communications signals on Earth rarely travel at precisely the speed of light in free space, but distances in fractions of a light-second are still useful for planning telecommunications networks as they indicate the minimum possible delay between sender and receiver.

  • One light-nanosecond is almost 300 millimetres (299.8 mm, 5 mm less than one foot), which limits the speed of data transfer between different parts of a large computer.
  • One light-microsecond is about 300 metres.
  • The mean distance, over land, between opposite sides of the Earth is 66.8 light-milliseconds.
  • Communications satellites are typically 1.337 light-milliseconds (low earth orbit) to 119.4 light-milliseconds (geostationary orbit) from the surface of the Earth. Hence there will always be a delay of at least a quarter of a second in a communication via geostationary satellite (119.4ms times 2); this delay is just perceptible in a transoceanic telephone conversation routed by satellite.

    • Use in astronomy

    The light-second is a convenient unit for measuring distances in the inner Solar System, because it corresponds very closely to the radiometric data used to determine them (the match is not exact for an Earth-based observer because of a very small correction for the effects of relativity). The value of the astronomical unit (roughly the distance from the Earth to the Sun) in light seconds is a fundamental measurement for the calculation of modern ephemerides (tables of planetary positions): it is usually quoted as "light-time for unit distance" in tables of astronomical constants, and its currently accepted value is 499.004786385(20) s.

  • The mean diameter of the Earth is about 0.0425 light-seconds.
  • The average distance from the Earth to the Moon is about 1.282 light-seconds.
  • The diameter of the Sun is about 4.643 light-seconds.
  • The average distance from the Earth to the Sun is 499.0 light-seconds.

    • Multiples of the light-second can be defined, although apart from the light-year they are more used in popular science publications than in research works. For example, a light-minute is 60 light-seconds and the average distance from the Earth to the Sun is 8.317 light-minutes.

    References

    Light-second Wikipedia
    (Text) CC BY-SA


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