Possible Trajectories of an Object Launched Around the Earth

GeoGebra Commands & Parameters

1. Ray(F, j) → vert
2. Point(xAxis) → A
3. Line(F, A) → b
4. Circle(F, A) → Terre
5. Intersect(Terre, vert) → H,
6. Ray(H, j) → possible
7. Point(possible) → M_0
8. Distance(F, M_0) → r
9. Line(M_0, xAxis) → horiz_0
10. Point(horiz_0) → B
11. Vector(M_0, B) → v
12. Length(v) → lv
13. Midpoint(F', F) → D
14. Segment(D, M_0) → d
15. Line(D, b) → c
16. Ellipse(F, F', Distance[M_0, M'_0] / 2) → traj
17. Intersect(Terre, traj) → I, J, ,
18. Intersect(traj, c) → E, G
19. Segment(D, G) → e
20. Mirror(BB_1, F) → BB_2
21. Intersect(Terre, Segment[BB_1, B_4]) → B_1,
22. Intersect(Terre, Segment[BB_2, B_3]) → B_2,
23. Polygon(B_1, B_2, B_3, B_4) → tour, b_1, b_2, b_3, b_4
24. Distance(C, J) → aa
25. If(Distance[C, J] < 0.25, 0, 1) → Vitesse
26. CurveCartesian((x(D) + (e * cos((-i) + π / 2)), y(D) + (d * sin((-i) + π / 2))), i, 0, f) → g
27. Distance(A, F) → R
28. Sequence(CurveCartesian[(x(D) + (j * cos((-i) + π / 2)), y(D) + (d * sin((-i) + π / 2))), i, 0, f], j, 30, 250, 20) → l1
29. Element(l1, A1) → B1
30. Element(l1, A2) → B2
31. Element(l1, A3) → B3
32. Element(l1, A4) → B4
33. Element(l1, A5) → B5
34. Element(l1, A6) → B6
35. Element(l1, A7) → B7
36. Element(l1, A8) → B8
37. Element(l1, A9) → B9
38. Element(l1, A10) → B10
39. Element(l1, A11) → B11
40. Element(l1, A12) → B12
41. Element(l1, A13) → B13
42. Element(l1, A14) → B14
43. Element(l1, A15) → B15
44. Element(l1, A16) → B16
45. Element(l1, A17) → B17
46. Element(l1, A18) → B18
47. Element(l1, A19) → B19
48. Element(l1, A20) → B20
49. Element(l1, A21) → B21
50. Element(l1, A22) → B22
51. Element(l1, A23) → B23
52. Element(l1, A24) → B24
53. Element(l1, A25) → B25
54. Element(l1, A26) → B26
55. Element(l1, A27) → B27
56. Element(l1, A28) → B28
57. Element(l1, A29) → B29
58. Element(l1, A30) → B30
59. Element(l1, A31) → B31
60. Sequence((x(D) + (j * cos((-f) + π / 2)), y(D) + (d * sin((-f) + π / 2))), j, 30, 250, 20) → l2