# How do I calculate the maximum northern and southern latitude a LEO satellite can image?

How do I calculate the maximum northern and southern latitude a LEO satellite can image? What parameters would I need?

• Angle of view for the camera. Orbit altitudes. Orbit Inclination. Trigonometry. Commented Jun 9, 2023 at 12:45
• See if space.stackexchange.com/q/60109/37597 helps you. Commented Jun 9, 2023 at 15:26
• You'll also need orbital eccentricity, and if the orbit's not circular, you'll need argument of periapsis. Commented Jun 9, 2023 at 17:25
• Here are some equations dealing with the furthest visible point for a given altitude: celestialprogramming.com/horizondistance.html Commented Jun 10, 2023 at 4:18

For the most simple case:

• Circular inclined orbit
• Camera looking in all directions
• Spherical Earth
• Ignoring the atmosphere

Then you the highest latitude you can image is the sum of the inclination and an angle in a right triangle.

$$\phi = i + \cos^{-1}\left(\frac{r}{r + h}\right)$$

Where $$h$$ is the altitude of the satellite.

The flat view at the extreme latitude isn't very good.