Function signatures (it might or might not be helpful to have these at hand while listening):

Helpers:

radToDeg :: Floating a => a -> a

degToRad :: Floating a => a -> a

clamp :: Float -> Float

Time:

day :: Int -> Int -> Int -> Float -> Day Float

Orbital parameters:

longitudeOfAscendingNode :: Orbit body center => body -> center -> Day d -> LongAscNode body center

inclinationToEcliptic :: Orbit body center => body -> center -> Day d -> InclToEcl body center

argumentOfPeriapsis :: Orbit body center => body -> center -> Day d -> ArgPeri body center

semiMajorAxis :: Orbit body center => body -> center -> Day d -> SemiMajor body center

eccentricity :: Orbit body center => body -> center -> Day d -> Ecc body center

meanAnomaly :: Orbit body center => body -> center -> Day d -> MeanAno body center

Calculating location on orbital plane:

eccAnomaly :: MeanAno a b -> Ecc a b -> EccAnomaly a b

trueAnomaly :: EccAnomaly a b -> Ecc a b -> TrueAnomaly a b

dist :: EccAnomaly a b -> Ecc a b -> SemiMajor a b -> Distance a b

Translating between coordinate systems:

toEclCoord :: TrueAnomaly a b -> Distance a b -> LongAscNode a b -> ArgPeri a b -> InclToEcl a b -> EclCoord a b

toEqCoordinates :: EclCoord body Earth -> Day Float -> EqCoord body

Some helpful links:

Guide by Paul Schlyter - http://www.stjarnhimlen.se/comp/ppcomp.html

Sample calculations by Paul Schlyter - http://www.stjarnhimlen.se/comp/tutorial.html

tuturto's blog post - https://engineersjourney.wordpress.com/2018/06/29/planetary-orbits-and-haskell/

Definition of orbital elements in Wikipedia - https://en.wikipedia.org/wiki/Orbital_elements

Units of angle in Wikipedia - https://en.wikipedia.org/wiki/Degree_(angle) and https://en.wikipedia.org/wiki/Radian