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Planet Orbit

Planet Orbit
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2017-12-23 00:16
CircleTransformationGeometric Construction
In collections Transformation
This example demonstrates the trajectory of a planet. It involves the geometric properties of circles and rotation transformations. Using GeoGebra commands such as Intersect, Circle, and Rotate, it dynamically shows the process of a planet orbiting the sun. Suitable for high school mathematics education, particularly in coordinate geometry and transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Circle(A, 2) → d
  4. Circle(A, 2.4) → e
  5. Circle(A, 3) → f
  6. Circle(A, 3.9) → g
  7. Circle(A, 4.9) → h
  8. Circle(A, 6) → k
  9. Circle(A, 7.4) → p
  10. Circle(A, 9) → q
  11. Intersect(d, xAxis, 2) → B
  12. Intersect(e, xAxis, 2) → C
  13. Intersect(f, xAxis, 2) → D
  14. Intersect(g, xAxis, 2) → E
  15. Intersect(h, xAxis, 2) → F
  16. Intersect(k, xAxis, 2) → G
  17. Intersect(p, xAxis, 2) → H
  18. Intersect(q, xAxis, 2) → I
  19. Rotate(D, (2 * α), A) → D'
  20. Rotate(E, (1.8 * α), A) → E'
  21. Rotate(F, (1.6 * α), A) → F'
  22. Rotate(G, (1.4 * α), A) → G'
  23. Rotate(H, (1.2 * α), A) → H'
  24. Rotate(I, α, A) → I'
  25. Rotate(B, (2.6 * α), A) → B'
  26. Rotate(C, (2.4 * α), A) → C'
  27. Circle(B', 0.1) → r
  28. Circle(C', 0.2) → s
  29. Circle(D', 0.3) → t
  30. Circle(E', 0.4) → c_1
  31. Circle(F', 0.5) → d_1
  32. Circle(G', 0.6) → e_1
  33. Circle(H', 0.7) → f_1
  34. Circle(I', 0.8) → g_1

AI Drawing Prompt Reference

Draw a sun and its planetary orbits. Start by drawing a circle as the sun, then draw several concentric circles with different radii as the planetary orbits. Next, rotate points on these orbits around the sun to simulate planetary motion. Finally, add small circles to mark the planets' positions on their orbits.
The prompt above was compiled from the original drawing commands and is for reference only.