document.write( "Question 471059: A space module is in an elliptical orbit around a planet.The maximum distance from the center of the planet to the module is 300 kilometers,and the minimum distance is 200 kilometers.If a model of this orbit is graphed with the center of the ellipse at the origin,write the equation that represents the path of the space module. \n" ); document.write( "
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A space module is in an elliptical orbit around a planet.The maximum distance from the center of the planet to the module is 300 kilometers,and the minimum distance is 200 kilometers.If a model of this orbit is graphed with the center of the ellipse at the origin,write the equation that represents the path of the space module.
\n" ); document.write( "..
\n" ); document.write( "Standard form for ellipse: x^2/a^2+y^2/b^2=1, a>b
\n" ); document.write( "For given problem:
\n" ); document.write( "length of major axis=600 km=2a
\n" ); document.write( "a=300
\n" ); document.write( "a^2=[(3)(10)^2]^2=(9)(10)^4
\n" ); document.write( "..
\n" ); document.write( "length of minor axis=400 km=2b
\n" ); document.write( "b=200
\n" ); document.write( "b^2=[(2)(10)^2]^2=(4)(10)^4
\n" ); document.write( "..
\n" ); document.write( "Equation: For path of module
\n" ); document.write( "x^2/(9)(10)^4+y2/(4)(10)^4=1 \n" ); document.write( "
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