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Orbit of Planets 2

Orbit of Planets 2
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2015-09-04 07:49
FunctionParametric EquationGeometric ConstructionSlider AnimationLocus
In collections Complex Math
This example demonstrates the behavior of planetary orbits. It involves the concept of functions, particularly the parametric equations of orbits. Using GeoGebra commands such as Point, Segment, Polygon, Circle, and Intersect, you can dynamically observe the changes in planetary orbits. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(b) → A
  2. Point(c) → B
  3. Segment(C, A) → d
  4. Segment(C, B) → f
  5. Point(c) → D
  6. Segment(B, D) → i
  7. Point(Circle[A, 1.4142135623730951]) → F
  8. Segment(A, F) → g
  9. Segment(A, F) → h
  10. Polygon(B, C, D) → poly1, d_1, b_1, c_1
  11. Segment(C, D) → d_h
  12. Point(c) → E
  13. Point(c) → G
  14. Segment(B, G) → τ
  15. Segment(F, G) → n
  16. Slope(n) → m
  17. Slope(d_h) → m_1
  18. Circle(C, A) → k
  19. Area(k) → e
  20. PointIn(k) → Pointk
  21. Line(H, f) → j
  22. Intersect(k, j, 2) → I
  23. Segment(C, I) → l
  24. Line(I, b) → p
  25. Intersect(p, d) → J
  26. Segment(C, J) → q
  27. Segment(J, I) → s
  28. Point(s) → K
  29. Segment(C, K) → t
  30. Segment(I, F) → a_1
  31. Segment(J, A) → e_1
  32. Polygon(C, I, F, G, B) → poly2, c_2, i_1, f_1, g_1, b_2
  33. Name(o) → A1
  34. Name(u) → B1
  35. Name(a) → C1
  36. Point(k) → L
  37. Circle(M, N) → h_1
  38. Point(h_1) → O
  39. Point(h_1) → P
  40. Midpoint(O, P) → Q
  41. Segment(M, O) → j_1
  42. Segment(z_1, z_2) → k_1
  43. Vector(T, U) → v
  44. Translate(z_1, v) → z_3
  45. Translate(z_2, v) → z_4
  46. Segment(z_3, z_4) → l_1
  47. Point(l_1) → V
  48. Segment(V, W) → n_1
  49. Segment(V, Z) → p_1
  50. Segment(V, A_1) → q_1
  51. Segment(V, B_1) → r_1
  52. Segment(V, C_1) → s_1
  53. Segment(V, D_1) → t_1
  54. Segment(V, E_1) → a_2
  55. Segment(V, F_1) → d_2
  56. Segment(V, G_1) → e_2
  57. Point(j_1) → H_1
  58. Circle(H_1, I_1) → f_2
  59. Circle(H_1, J_1) → g_2
  60. Circle(H_1, K_1) → h_2
  61. Circle(H_1, L_1) → k_2
  62. Circle(H_1, M_1) → p_2
  63. Circle(H_1, N_1) → q_2
  64. Circle(H_1, O_1) → r_2
  65. Point(h_1) → P_1
  66. Circle(H_1, P_1) → s_2
  67. Segment(V, Q_1) → i_2