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Gravitation and Space Curvature in 3D

Gravitation and Space Curvature in 3D
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2020-03-18 22:06
VectorSolid GeometryGeometric Construction
This example demonstrates the phenomenon of gravitation and space curvature in three-dimensional space. Key mathematical concepts include vectors, trajectories, and geometric construction. Using GeoGebra commands such as Point, Circle, Sphere, and Sequence, the example constructs a 3D gravitational field and space curvature. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(zAxis) → M
  2. Circle(M, 3, zAxis) → c
  3. Point(c) → P
  4. Sphere(P, cbrt(m)) → b
  5. Sequence(Surface[t, y(P) - d - m / ((d * ((t - x(P))^(2) + (s - z(P))^(2) + 1))), s, t, -5, 5, s, -5, 5], d, -2, 2) → l2
  6. Sequence(Surface[x(P) - d - m / ((d * ((t - y(P))^(2) + (s - z(P))^(2) + 1))), t, s, t, -5, 5, s, -5, 5], d, -2, 2) → l3
  7. Sequence(Surface[t, s, (-d) - m / ((d * ((t - x(P))^(2) + (s - y(P))^(2) + 1))), t, -5, 5, s, -5, 5], d, -2, 2) → l1