Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, assuming that the sun is the focus of the elliptical orbit.
Part (a) The cartesian equation is .
Part (b) The polar equation is .
The eccentricity is
The semi-major axis is role="math" localid="1649526544989"
Now, the standard form,
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