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While they are equivalent in an abstract sense of Newtonian/Galilean relativity, that fact is useless in practice.  One generally uses a coordinate system that is inertial, or nearly so, for the calculations that one is making.
 
While they are equivalent in an abstract sense of Newtonian/Galilean relativity, that fact is useless in practice.  One generally uses a coordinate system that is inertial, or nearly so, for the calculations that one is making.
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*For ordinary activities on Earth, such as walking or driving one's car, a co-rotating [[Geocentric theory|geocentric system]] is the one to use.  It doesn't matter which of the sun or the Earth goes around the other.  But the Coriolis force does figure into very accurate calculations for airplanes, missiles, and artillery guns.  It may also have been involved in the outcome of a [http://ftw.usatoday.com/2015/10/neil-degrasse-tyson-bengals-kicker football game].
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*For ordinary activities on Earth, such as walking or driving one's car, a co-rotating [[Geocentric theory|geocentric system]] is the one to use.  It doesn't matter which of the sun or the Earth goes around the other.  But the [[Coriolis force]] does figure into very accurate calculations for airplanes, missiles, and artillery guns.  It may also have been involved in the outcome of a [http://ftw.usatoday.com/2015/10/neil-degrasse-tyson-bengals-kicker football game].
 
*For calculations involving artificial Earth satellites, a non-rotating Earth-based coordinate system is the one to use.
 
*For calculations involving artificial Earth satellites, a non-rotating Earth-based coordinate system is the one to use.
 
*For calculations of planetary motions and interplanetary spacecraft, a non-rotating sun-based coordinate system (that is, Copernican heliocentric) is the one to use.  Calculation of planetary motions was what led to the Copernican formulation.
 
*For calculations of planetary motions and interplanetary spacecraft, a non-rotating sun-based coordinate system (that is, Copernican heliocentric) is the one to use.  Calculation of planetary motions was what led to the Copernican formulation.
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