In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
The required equation is .
The given equation in rectangular coordinates is:
As we know that in polar coordinates, then substitute the value of y,
Therefore, the equation in polar coordinates is .
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.
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