Describe the equation of the circular orbit in cartesian coordinates. Given, a point is P(6,054.78,6492.95) along the orbit in cartesian coordinates. Assume the centre of larger body to be the origin O(0,0).

Describe the equation of the circular orbit in cartesian coordinates. Given, a point is P(6,054.78,6492.95) along the orbit in cartesian coordinates. Assume the centre of larger body to be the origin O(0,0). Correct Answer x2 + y2 – 78,818,884 = 0

Given, origin O(0,0) at larger body centre. Therefore, point P(6,054.78,6492.95) can be used to determine the orbit radius. Orbit radius (r) = (6,054.782 + 6492.952)1/2 = 8,878 km Equation of a circle can be written as x2 + y2 = r2, if origin point is (0,0) Therefore, equation of circle is x2 + y2 – 78,818,884 = 0

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