Astronomical Unit
Astronomical Unit
Astronomical unit is
the unit of length which is used by astronomers to measure shorter distances or
sizes of terrestrial bodies in space. For extremely long distances we use light
years but for defining distances comparable to the size of our solar system, we
need a unit which is smaller than a light year but much bigger than kilometers.
Its symbol is ‘au’.
For solving this
purpose International Astronomical Union defined one astronomical unit as the
length in 1976, for which the value of Gaussian
Gravitational Constant becomes 0.01720209895. This is the value when astronomical
units of length and mass are used for measurement. Another definition is that
the radius of an unperturbed circular Newtonian orbit about the Sun of a
particle having infinitesimal mass, moving with an angular velocity of
0.01720209895 radians per day is called one astronomical unit. One more
definition is that when we are to describe the position of an object in the
solar system, the length at which, the product GM which is called heliocentric
gravitational constant becomes equal to (0.01720209895)2 au3/d2.
This unit of length was defined to measure length of celestial bodies.
This distance is
roughly equal to the distance been the Sun and Earth. Before 1976, astronomical
unit was defined as the length of semi major axis which was a less accurate
measurement. For solving this problem, these more precise methods were adopted
in 1976. In the IERS numerical system, speed of light in vacuum is 299792458000 m/s if astronomical units
are measured in SI units. The time taken by light to travel one au is equal to 499.0047838061±0.00000001 seconds. With the help of this data, the length of 1 au in meters
comes to be equal to 149,597,870,700±3 m.
Since the definition
of 1 au as the measure of Gravitational constant was difficult to maintain
therefore, in 2012, 1 au was defined as 149,597,870,700±3 m, leaving no
confusion in the measurements. This distance is roughly the radius of the locus
of earth around the Sun.
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