复数 i 驱动的行星轨道：GeoGebra 参数方程与积分动画

GeoGebra 命令及参数

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