document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160782>Question 160782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an approximate value for the rate at which the moon orbits the earth. Assume that the moon's orbit is circular. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118541 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=an_approximate_value_for_the_rate+=2r%2Api%2F+the_amount_of_days ALIGN=MIDDLE  ALT=\"an_approximate_value_for_the_rate+=2r%2Api%2F+the_amount_of_days\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since  the distance between the earth and moon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=382000000 ALIGN=MIDDLE  ALT=\"382000000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the amount of days it takes the moon to orbit earth is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27.3 ALIGN=MIDDLE  ALT=\"27.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=an_approximate_value_for_the_rate+=2%2A%283.14%29+%2A+382000000%2F27.3+=+2398960000+%2F27.3 ALIGN=MIDDLE  ALT=\"an_approximate_value_for_the_rate+=2%2A%283.14%29+%2A+382000000%2F27.3+=+2398960000+%2F27.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=an_approximate_value_for_the_rate+=87873992.67+%28meters%2Fday%29 ALIGN=MIDDLE  ALT=\"an_approximate_value_for_the_rate+=87873992.67+%28meters%2Fday%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, the moon's orbit is elliptical, not circular. So, above result is close. It should be a larger than that because of the elliptical orbit as opposed to circular.\r<BR>\n" );
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document.write( "One way you could look at it is that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mean ALIGN=MIDDLE  ALT=\"mean\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=orbital ALIGN=MIDDLE  ALT=\"orbital\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+speed+ ALIGN=MIDDLE  ALT=\"+speed+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of the moon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1023+m%2Fs ALIGN=MIDDLE  ALT=\"1023+m%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86400+s ALIGN=MIDDLE  ALT=\"86400+s\"   DISABLED_style= \"max-width:90%; height:auto;\" > in a day, therefore <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=an_approximate_value_for_the_rate+=+%2886400%29%281023%29=88387200+%28meters%2Fday%29 ALIGN=MIDDLE  ALT=\"an_approximate_value_for_the_rate+=+%2886400%29%281023%29=88387200+%28meters%2Fday%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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