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== Evolution in the study of the Grahas ==
 
== Evolution in the study of the Grahas ==
The study of the five planets, that were known in the vedic period, came to be included within the scope of astronomy in the post-vedic period. And astronomy began to be studied as a science for its own sake outgrowing its original purpose of providing a calendar for the performance of Vedic yajnas.
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The study of the five planets, that were known in the vedic period, came to be included within the scope of astronomy in the post-vedic period. And astronomy began to be studied as a science for its own sake outgrowing its original purpose of providing a calendar for the performance of Vedic yajnas.
    
The various facets related to the grahas that were studied were:
 
The various facets related to the grahas that were studied were:
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It also studied the motion of the planets in various zodiacal signs under different velocities called gatis (viz. very fast, fast, mean, slow, very slow, retrograde, very retrograde, and re-retrograde) along their varying paths called vithis.   
 
It also studied the motion of the planets in various zodiacal signs under different velocities called gatis (viz. very fast, fast, mean, slow, very slow, retrograde, very retrograde, and re-retrograde) along their varying paths called vithis.   
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The synodic motion of a planet, called grahachara, was elaborately recorded in the astrological works particularly the samhitas, the earlier works of the Jainas, the earlier puranas, and the earlier siddhantas such as the Vasishthasiddhanta and the Paulishasiddhanta. Analysis of these records led to the evolution of a few crude methods and empirical formulae to get the longitudes of the planets. Later, a systematic theory was established giving rise to the astronomy of the later Siddhantas.<ref name=":0" />
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The synodic motion of a planet, called grahachara, was elaborately recorded in the astrological works particularly the samhitas, the earlier works of the Jainas, the earlier puranas, and the earlier siddhantas such as the Vasishthasiddhanta and the Paulishasiddhanta. Analysis of these records led to the evolution of a few crude methods and empirical formulae to get the longitudes of the planets. Later, a systematic theory was established giving rise to the astronomy of the later Siddhantas.
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The synodic motion of the planets and the empirical formulae for knowing the positions of the planets Jupiter and Saturn were described in the Vasishthasiddhanta which is the earliest of the astronomical works written in the post-vedic period. This is known through the summary of the Vasishthasiddhanta available in the Panchasiddhantika of Varahamihira.
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The motion of the planets, visibility of the Moon and  eclipses are dealt with in the Paulishasiddhanta also. In the treatment of the planetary motion, it gives the distances from the Sun at which the planets rise or set heliacally and become retrograde and re-retrograde. However, Paulisha's treatment of the visibility of the planets and the eclipses is considered to be very approximate.<ref name=":0" />
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A synodic year is the time it takes for a planet-sun alignment to reoccur.
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The synodic periods (in days) of the planets according to Vasishtha, Paulisha, Aryabhata, Ptolemy and the modern astronomers are as follows:
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{| class="wikitable"
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|+Synodic periods in days<ref name=":0" />
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!Planet
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!Vasishtha
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!Paulisha
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!Aryabhata
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!Ptolemy
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!Modern
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|-
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|Mars
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|779.955
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|799.978
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|779.92
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|779.943
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|779.936
 +
|-
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|Mercury
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|115.879
 +
|115.875
 +
|115.87
 +
|115.879
 +
|115.877
 +
|-
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|Jupiter
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|398.889
 +
|398.885
 +
|398.889
 +
|398.886
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|398.884
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|-
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|Venus
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|583.909
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|583.906
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|583.89
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|584.000
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|583.921
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|-
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|Saturn
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|378.1
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|378.110
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|378.08
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|378.093
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|378.092
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|}
    
== References ==
 
== References ==
 
<references />
 
<references />

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