document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23284>Question 23284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!<BR>\n" );
document.write( "Like all planets Jupiter has an elliptical orbit, with the centre of the sun located at a focus. Write an equation of the ellipse that models Jupiter's orbit around the sun. Assume that the centre of the sun in on x-axis.<BR>\n" );
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document.write( "------------------jupiter\r<BR>\n" );
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document.write( "__740_____sun___810______   --------> assuming this is a ellipse and Jupiter    is \r<BR>\n" );
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document.write( "                                          around the orbit of 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 #12043 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard eqn. of an ellipse with foci on x axis,centre as origin  and directrices parallel to y axis is <BR>\n" );
document.write( "(X^2/A^2)+(Y^2/B^2)=1,where A and B are semi major/minor axes<BR>\n" );
document.write( "foci are given by (A*E,0),(-A*E,0)<BR>\n" );
document.write( "eccentricity =E =[(A^2-B^2)/A^2]^0.5<BR>\n" );
document.write( "we are given the sun is at one focus and the 2 numbers you have given as 740 and 810 are  NOT ELABORATED AS TO WHAT THESE NUMBERS ARE. \r<BR>\n" );
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document.write( "I back calculated the major / minor axes as per the answer given by you and came out		<BR>\n" );
document.write( "with following interpretation of the numbers given by you.		<BR>\n" );
document.write( "740 is the minimum distance of jupiter from sun	<BR>\n" );
document.write( "810 is the maximum distance of jupiter from sun	<BR>\n" );
document.write( "so total distance =major axis ,since sun is at one of the foci and is on x axis or major axis		<BR>\n" );
document.write( "major axis =2*A=740+810=1550..or A=1550/2= 775		<BR>\n" );
document.write( "as given above foci are given by (A*E,0) and (-A*E,0),with centre taken as origin.		<BR>\n" );
document.write( "since sun is at focus and its coordinate is  (775-740,0) and (775-810,0) or (35,0),(-35,0) we have		<BR>\n" );
document.write( "A*E=35..that is.... 775*E=35...or....E=35/775=7/155 		<BR>\n" );
document.write( "further we have E=[(A^2-B^2)/A^2]^0.5		<BR>\n" );
document.write( "so  B=[A^2-(E^2)(A^2)]^0.5 =A*(1-E^2)^0.5=774.2093		<BR>\n" );
document.write( "hence eqn. Of ellipse is 		<BR>\n" );
document.write( "(X^2/775^2)+(Y^2/774.2093^2)=1		<BR>\n" );
document.write( "(X^2/600625)+(Y^2/599400)=1		<BR>\n" );
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