document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736818>Question 736818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My formula is not working, please help.\r<BR>\n" );
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document.write( "Elara is a moon of Jupiter. Elara’s orbit has an eccentricity of (1/5). Assume a coordinate system centered at the origin with Jupiter at one of the foci on the x-axis. Find the equation for Elara’s orbit if the major axis has a length of 12 million kilometers.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450035 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=450035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"the major axis has a length of 12 million kilometers\", means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aa=12 ALIGN=MIDDLE  ALT=\"2%2Aa=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > million kilometers.  \r<BR>\n" );
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document.write( "The eccentricity given means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa=1%2F5 ALIGN=MIDDLE  ALT=\"c%2Fa=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c is the distance from either focus to the center of the ellipse.\r<BR>\n" );
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document.write( "Those two equations let you solve for the value of c.  Once you know a and c, you can find the value of b, the length of the semi-minor axis.  These have a pythagorean theorem relationship.\r<BR>\n" );
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document.write( "That should be enough for you to solve for the ellipse.  If you're unsure, a further bit of work can be shown.\r<BR>\n" );
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document.write( "Just a few minutes doing a few steps gives me the result, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F36%2By%5E2%2F34.56=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F36%2By%5E2%2F34.56=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We use the relationship, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=a%5E2-c%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=a%5E2-c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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