document.write( "Question 552985: I'm having a difficulty in solving this problem,your help is highly appreciated: \r
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document.write( "The elliptical orbit of Mars has its foci at (0.141732, 0) and
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document.write( "(-0.141732, 0), where 1 unit equals 1 AU. The length of the major axis is
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document.write( "3.048 AU. Determine the equation that models Mars’ elliptical orbit \n" );
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Algebra.Com's Answer #360928 by lwsshak3(11628) ![]() You can put this solution on YOUR website! I'm having a difficulty in solving this problem,your help is highly appreciated: \n" ); document.write( "The elliptical orbit of Mars has its foci at (0.141732, 0) and \n" ); document.write( "(-0.141732, 0), where 1 unit equals 1 AU. The length of the major axis is \n" ); document.write( "3.048 AU. Determine the equation that models Mars’ elliptical orbit \n" ); document.write( "** \n" ); document.write( "Standard form of equation for ellipse with major axis in x-direction: (x-h)^2/a^2=(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center. \n" ); document.write( ".. \n" ); document.write( "Units in AU (Astronomical Unit) \n" ); document.write( "Given length of major axis=3.048 =2a \n" ); document.write( "a=3.048/2=1.524 \n" ); document.write( "a^2≈2.323 \n" ); document.write( "c=0.141732 \n" ); document.write( "c^2=.020 \n" ); document.write( "c^2=a^2-b^2 \n" ); document.write( "b^2=a^2-c^2=2.323-.020=2.303 \n" ); document.write( "Equation of ellipse: ( in (x,y) plane) \n" ); document.write( "x^2/2.323+y^2/2.303=1 \n" ); document.write( " |