Time Frame of Sun on Ecliptic Plane vs Equitorial

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The Earth rotating on its equitorial axis spinning on its poles. The Sun has its orbit on the ecliptic 23 degrees away from the spin if the Earth. Is the time frame different at the Earth on the Ecliptic plane rather than the Equitorial?
 
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Since Sidereal time is the time frame for the Elliptic and standard time is time frame for the Equitorial. How do you equate the two?
 
How do I find out the Ecliptic Longitude from the Sidereal Time?