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Question 604373: The path that a satellite travels around Earth is an ellipse with Earth at one focus. The length of the major axis is about 16,000 km, and the length of the minor axis is about 12,000 km. Write an equation for the satellite’s orbit.
Found 2 solutions by lwsshak3, sojeong1997:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! The path that a satellite travels around Earth is an ellipse with Earth at one focus. The length of the major axis is about 16,000 km, and the length of the minor axis is about 12,000 km. Write an equation for the satellite’s orbit.
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Ellipse is worked as one with vertical major axis:
Its standard form of equation: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center
For given problem:
center: (0,0)
given length of major axis=16000=2a
a=8000
a^2=64000000=64*10^6
..
given length of minor axis=12000=2b
b=6000
b^2=36000000=36*10^6
..
equation:
x^2/36*10^6+y^2/64*10^6=1
Answer by sojeong1997(1) (Show Source):
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