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3D Dynamic Model of Moon Orbiting Earth

3D Dynamic Model of Moon Orbiting Earth
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2020-08-25 20:06
VectorSolid GeometryTransformationParametric Equation
① This example demonstrates a three‑dimensional dynamic simulation of the Moon revolving around the Earth in an approximately circular orbit. ② Core mathematical concepts include 3D vectors, parametric equations for the orbital path, coordinate transformations, and solid‑geometry representation of spheres. ③ Construction highlights: Point creates the Earth center A and initial Moon position B; Sphere generates the Earth sphere a and Moon sphere b; OrthogonalPlane builds a reference plane p orthogonal to the orbital plane; text objects text1 and text2 label key parameters; auxiliary objects C and D drive the animated position updates. ④ Suitable for high‑school solid geometry, university vector analysis, or introductory astronomy courses, serving as a classroom demo, self‑study exploration, or popular‑science visual aid.

GeoGebra Commands & Parameters

  1. Point(zAxis) → A
  2. Sphere(A, B) → a
  3. Sphere(C, D) → b
  4. OrthogonalPlane(D, zAxis) → p

AI Drawing Prompt Reference

Create a 3D dynamic model showing the Moon orbiting the Earth in an approximately circular path. Start by creating point A for the Earth's center and point B for the initial Moon position, then generate spheres a and b for the Earth and Moon. Next, build a reference plane p orthogonal to the orbital plane. Finally, add labels text1 and text2 to indicate key parameters, and use auxiliary objects C and D to animate the Moon's position updates.
The prompt above was compiled from the original drawing commands and is for reference only.