Birdster
Apr19-04, 01:06 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>I\'m basically trying to do something very simple that involves using\nan application of the Runge-Kutta fourth order method of solving\ndifferential equations to solve the motion of the Rotating Top by\nconsidering the Lagrange\'s equations associated with them (There are 3\nbasic equations:\na second order eqn in theta, a first order eqn that give psi and a\nfirst order eqn that give phi - these Eqns can be found in 5-7 of\nGoldstein\'s Classical Mechanics and come from simple manipulation of\nLagranges eqns for the top).\n\nAnyhow, I have a problem, I know how theta and phi evolve with time\n(from heavy treatment in most textbooks), but I have never actually\n*seen* a top rotate, let alone seen a graph of the 3 Euler angles of\nthe top against time. Does anyone know where these can be found? (I\nhave seen graphs that show the derivatives of the Euler angles w.r.t\ntime but never the Euler angles themselves w.r.t time).\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>I'm basically trying to do something very simple that involves using
an application of the Runge-Kutta fourth order method of solving
differential equations to solve the motion of the Rotating Top by
considering the Lagrange's equations associated with them (There are 3
basic equations:
a second order eqn in \theta, a first order eqn that give \psi and a
first order eqn that give \phi - these Eqns can be found in 5-7 of
Goldstein's Classical Mechanics and come from simple manipulation of
Lagranges eqns for the top).
Anyhow, I have a problem, I know how \theta and \phi evolve with time
(from heavy treatment in most textbooks), but I have never actually
*seen* a top rotate, let alone seen a graph of the 3 Euler angles of
the top against time. Does anyone know where these can be found? (I
have seen graphs that show the derivatives of the Euler angles w.r.t
time but never the Euler angles themselves w.r.t time).
an application of the Runge-Kutta fourth order method of solving
differential equations to solve the motion of the Rotating Top by
considering the Lagrange's equations associated with them (There are 3
basic equations:
a second order eqn in \theta, a first order eqn that give \psi and a
first order eqn that give \phi - these Eqns can be found in 5-7 of
Goldstein's Classical Mechanics and come from simple manipulation of
Lagranges eqns for the top).
Anyhow, I have a problem, I know how \theta and \phi evolve with time
(from heavy treatment in most textbooks), but I have never actually
*seen* a top rotate, let alone seen a graph of the 3 Euler angles of
the top against time. Does anyone know where these can be found? (I
have seen graphs that show the derivatives of the Euler angles w.r.t
time but never the Euler angles themselves w.r.t time).