$\"\"$

The eccentricity of mars orbit is $\"\"$ .

The length of the semi major axis is $\"\"$ .

Since the eccentricity is $\"\"$ , the conic is ellipse.

The polar equation of an ellipse with focus at the origin, semi major axis $\"\"$ , eccentricity $\"\"$ is $\"\"$ .

Substitute $\"\"$ and $\"\"$ .

$\"\"$

$\"\"$ .

The polar equation of the orbit is $\"\"$ .

$\"\"$

The polar equation of the orbit is $\"\"$ .