document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40295>Question 40295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A comet follows a hyperbolic  path about the focus of the Sun. The equation of the orbit is x squared/80 squared minus y squared/ 150 squared = 1, where x and y are measured in Gm. how far from the center of the hyperbola is the Sun. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25631 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A comet follows a hyperbolic  path about the focus of the Sun. The equation of the orbit is x squared/80 squared minus y squared/ 150 squared = 1, where x and y are measured in Gm. how far from the center of the hyperbola is the Sun.\r<BR>\n" );
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document.write( "a^2=150<BR>\n" );
document.write( "b^2=80<BR>\n" );
document.write( "c^2=a^2 + b^2 for a hyperbola<BR>\n" );
document.write( "c=sqrt(230)<BR>\n" );
document.write( "Vertex and comet position are at (a,0)=(sqrt(150),0)<BR>\n" );
document.write( "Focus and Sun position are at (c,0)=(sqrt(230),0)<BR>\n" );
document.write( "Distance from comet to Sun is sqrt(230)-sqrt(150)=2.918Gm<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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