For a maths task in school, I am investigating the orbit of the International Space Station around the Earth. I understand that when the 3D movement in space is represented on a 2D surface, the relationship is not sinusoidal, however I have created the following (simple) model, which I am unsure is the most accurate. Below you can also find my calculated values with the formula (in red), compared to the actual values from an online API. Any help would be greatly appreciated!
$y=51.64*\sin(x-304)$ (This only applies for one of the curves (the one pictured below), as the wave is translated 22.5 degrees to the right after each cycle.)
My data can be found in the following google doc: https://docs.google.com/spreadsheets/d/1Ac8yQn8ybdtZWK8JyKAOIw46o3UJufAoidR5unjVeHs/edit?usp=sharing
Thank you in advance!