Locating Geographic Coordinates in an Oblique Photograph

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I am trying to determine a formula for locating the pixel coordinates of a geographic location (provided in State Plane) in an oblique aerial photograph with the following variables known:

  1. Feature point (State Plane)
  2. Photo geographic centroid (State Plane)
  3. Photo geographic footprint (Series of state plane coordinates describing the polygon)
  4. Camera location at time of photo (State Plane)
  5. Pixel coordinates of photo centroid
  6. Camera altitude in feet
  7. Focal length of lens (50mm)

I tried to use the suggested answers here: Convert coordinates from Cartesian system to non-orthogonal axes

But to no avail. Is this possible or do I need more data to solve this?