No Numbers Sudoku: The Ball of Queens

Question

Those are all of the numbers you need. No, I did not forget any.

• Normal sudoku rules apply.
• All numbers, except for 1's and 9's, are queens with respect to themselves.
  • E.g. 2's have the queen's constraint against other 2's but not against 3's.
• All numbers must be rotationally symmetric with respect to their counter part on the other side of 5.
  • Aka, 1 with 9, 2 with 8, 3 with 7, 4 with 6, and 5 with itself. See below image for an example.
• Not all 2's are next to non-queens in the top three sudoku squares. Aka, the white sudoku squares in the image below.
• All 2's must be next to a 4 in the three middle sudoku squares. Aka, the three blue sudoku squares in the image below.
• All 2's must be next to a 3 in the three bottom sudoku squares. Aka, the three red sudoku squares in the image below.
• If a 2 is surrounded by 3 non-queens, it will see two 9's.
• Top right corner is not a queen.
• The queens of 5 dance clockwise.

"Next to" includes above, below, to the side, or diagonally.

This is my first sudoku puzzle, so any feedback would be awesome. Good luck!

EDIT Apologies, I noticed another symmetry within the puzzle that needed defining to gift a unique solution. I've added 1 last rule at the bottom to account for this.

HINTS

r1c3, r2c9, r3c4, r4c8, r5c5

Answer 1

I wrote a program to solve this. I found 15 solutions. Here are two of them. As the solution should be unique, I tried to hunt for violation of the rules. But I could not found any.

  8  9  5 |  6  7  2 |  3  4  1
  1  7  2 |  3  4  8 |  6  9  5
  3  4  6 |  5  9  1 |  2  7  8
----------+----------+---------
  7  2  3 |  1  8  6 |  9  5  4
  4  8  9 |  7  5  3 |  1  2  6
  6  5  1 |  4  2  9 |  7  8  3
----------+----------+---------
  2  3  8 |  9  1  5 |  4  6  7
  5  1  4 |  2  6  7 |  8  3  9
  9  6  7 |  8  3  4 |  5  1  2


  6  1  5 |  3  2  4 |  8  7  9
  9  2  4 |  8  7  6 |  3  1  5
  8  7  3 |  5  1  9 |  4  2  6
----------+----------+---------
  2  4  8 |  9  6  3 |  1  5  7
  7  6  1 |  2  5  8 |  9  4  3
  3  5  9 |  7  4  1 |  2  6  8
----------+----------+---------
  4  8  6 |  1  9  5 |  7  3  2
  5  9  7 |  4  3  2 |  6  8  1
  1  3  2 |  6  8  7 |  5  9  4