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<p>the Sun from its mean position on the <a href="page.php?w=celestial_sphere">celestial sphere</a> as viewed from Earth. The equation of time values for each day of the year, compiled by astronomical <a href="page.php?w=observatory">observatories</a>, were widely listed in <a href="page.php?w=almanac">almanac</a>s and <a href="page.php?w=ephemeris">ephemerides</a>.</p>

<p>The equation of time can be approximated by a sum of two <a href="page.php?w=sine_wave">sine wave</a>s:</p>

<p>
:  [minutes]</p>

<p>where: </p>

<p>where  represents the number</p><p>
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