document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151908>Question 151908</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Can someone please help me with this math problem. I am having a hard time trying to figure this out I am not very good at this kind of math.\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Droxygirl1001\r<BR>\n" );
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document.write( " Problem: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.\r<BR>\n" );
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document.write( "(1)   What is the eccentricity of the orbit?\r<BR>\n" );
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document.write( "(2)   For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that   is equal to the eccentricity of the orbit.\r<BR>\n" );
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document.write( "(3)   Find the Apogee. Find the Perigee.  <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 #111660 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=111660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at this --> http://www.1728.com/ellipse.htm\r<BR>\n" );
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document.write( "Then understand that perigee means 'closest point' and apogee means 'most distant point'.\r<BR>\n" );
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document.write( "You are told that the perigee is 363000. Apogee is 405500. Earth is one focus.\r<BR>\n" );
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document.write( "Let's assume that earth is f[1]\r<BR>\n" );
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document.write( "By looking at the link above, you can see that perigee is the distance from f[1] to A. Apogee is the distance from f[1] to B.\r<BR>\n" );
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document.write( "The eccentricity is the ratio of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distanceFromCenterToFocus%2FdistanceFromCenterToVertex ALIGN=MIDDLE  ALT=\"distanceFromCenterToFocus%2FdistanceFromCenterToVertex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is also given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distanceBetweenFoci%2FdistanceOfMajorAxis ALIGN=MIDDLE  ALT=\"distanceBetweenFoci%2FdistanceOfMajorAxis\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Apogee-Perigee%29%2F%28Apogee%2BPerigee%29 ALIGN=MIDDLE  ALT=\"%28Apogee-Perigee%29%2F%28Apogee%2BPerigee%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28405500-363000%29%2F%28405500%2B363000%29 ALIGN=MIDDLE  ALT=\"%28405500-363000%29%2F%28405500%2B363000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0553 ALIGN=MIDDLE  ALT=\"0.0553\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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