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Angular Momentum
<?php
											 
											/*
												Angular Momentum
												© Charles Chandler
												http://qdl.scs-inc.us/?top=7781
											*/
											 
											// Calculate the conservation of angular momentum in a supergranule as it rises.
											// This is the force that equatorial differential rotation has to overcome.
											 
											$vars['solarRadius'    ] = 695500; // km
											$vars['solarCircum'    ] = $vars['solarRadius'] * 2 * pi();
											$vars['depthToLiquid'  ] = 125000; // depth below surface of top of liquid hydrogen layer, in km
											$vars['liquidRadius'   ] = $vars['solarRadius'] - $vars['depthToLiquid'];
											$vars['liquidCircum'   ] = $vars['liquidRadius'] * 2 * pi();
											$vars['equatorVelocity'] = 2; // km/s
											$vars['liquidVelocity' ] = $vars['equatorVelocity'] * ($vars['liquidCircum'] / $vars['solarCircum']);
											$vars['superUpdraft'   ] = .4; // speed of supergranule updraft, in km/s
											$vars['updraftElapsed' ] = $vars['depthToLiquid'] / $vars['superUpdraft']; // time travelled, in seconds
											$vars['elapsedDays'    ] = $vars['updraftElapsed'] / (60 * 60 * 24);
											$vars['equatorDistTrav'] = $vars['equatorVelocity'] * $vars['updraftElapsed']; // rotation in that time, in km
											$vars['liquidDistTrav' ] = $vars['liquidVelocity'] * $vars['updraftElapsed']; // rotation in that time, in km
											$vars['distanceDiff'   ] = $vars['equatorDistTrav'] - $vars['liquidDistTrav'];
											$vars['fractOfCircum'  ] = $vars['distanceDiff'] / $vars['solarCircum'];
											$vars['degreesTravel'  ] = $vars['fractOfCircum'] * 360;
											VarDump($vars);
											 
											$vars = array (
											'solarRadius'     => 695500,
											'solarCircum'     => 4369955.3811434,
											'depthToLiquid'   => 125000,
											'liquidRadius'    => 570500,
											'liquidCircum'    => 3584557.217746,
											'equatorVelocity' => 2,
											'liquidVelocity'  => 1.6405463695183,
											'superUpdraft'    => 0.4,
											'updraftElapsed'  => 312500,
											'elapsedDays'     => 3.6168981481481,
											'equatorDistTrav' => 625000,
											'liquidDistTrav'  => 512670.74047448,
											'distanceDiff'    => 112329.25952552,
											'fractOfCircum'   => 0.025704898500847,
											'degreesTravel'   => 9.2537634603049,
											);
											 
										?>

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