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@RichardEllicott
Created December 10, 2023 15:15
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## 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
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