gistfile1.txt

## using chat gp, asked for python (this gives an egg shape wtf?)

## https://chat.openai.com/c/0269574d-acb5-4f88-ac65-0a2c27e016df
static func get_keppler_position(semi_major_axis: float = 8.0, eccentricity: float = 0.9, theta: float = 0.0) -> Vector3:
    
    var semi_minor_axis: float = semi_major_axis * sqrt(1.0 - eccentricity**2) # Calculate the semi-minor axis
    var pos: Vector3 = Vector3(semi_major_axis * cos(theta), 0.0, semi_minor_axis * sin(theta))
    var rotation_angle = atan2(pos.z, pos.x)
    ## this but from chat gp, it doesn't seem a pure rotation, it seems to transform the parametric to keppler
    pos = Vector3( 
        pos.x * cos(rotation_angle) - pos.z * sin(rotation_angle),
        0.0,
        pos.x * sin(rotation_angle) + pos.z * cos(rotation_angle)
    )
    return pos