Measurements indicate that the orbital eccentricity of Mars is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for the orbit of Mars.
(b) Do and have the same meaning as in Exercise 53?
(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.
Part (a) The cartesian equation is
Part (b) The coordinates have the same meaning as given for the earth's orbit.
Part (c) The polar equation is .
The eccentricity is
Semi-major axis is
Therefore, equation becomes,
The coordinates have the same meaning as given for the earth's orbit.
The polar equation will be,
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