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Three-Body Problem Simulation

អំពីការពិសោធន៍និម្មិតនេះ

Two isolated Newtonian point masses have conic-section relative orbits: bound ellipses or unbound parabolic and hyperbolic paths. Three or more bodies generally require numerical integration. Special periodic solutions exist; not every three-body system is chaotic. No. This is a planar educational model in dimensionless units, using velocity Verlet and softened gravity. The figure-eight is an approximation of a special Newtonian orbit. It omits collisions, relativity and real planetary data.

ស្តង់ដារ៖ Common Core CCSS.MATH.CONTENT.HSF.IF.B.4, CCSS.MATH.CONTENT.HSF.IF.C.7

អ្វីដែលសិស្សអាចស្វែងរកបាន

  • Both bodies orbit their shared centre of mass.
  • Compare the changed paths with the original preset. A change does not always produce chaos.
  • Choose 2–12 bodies. Select a body to edit its initial mass and velocity, or drag it to change its position. Edits restart the run.

គោលបំណងសិក្សា

  1. 1Both bodies orbit their shared centre of mass.
  2. 2Every pair attracts. Softening modifies Newton’s inverse-square law at very short distances.
  3. 3Numerical energy error is not chaos. Large error pauses the run; reset or separate nearby bodies.

សំណួរដែលគ្រូតែងសួរ

Why is the three-body problem different?

Two isolated Newtonian point masses have conic-section relative orbits: bound ellipses or unbound parabolic and hyperbolic paths. Three or more bodies generally require numerical integration. Special periodic solutions exist; not every three-body system is chaotic.

How do I add more bodies?

Raise Number of bodies from 2 to 12. Select a body, change its mass multiplier or initial velocity, or drag its numbered marker. Each edit starts a new experiment; Reset experiment restores the original two-body setup.

Is this an exact astronomical prediction?

No. This is a planar educational model in dimensionless units, using velocity Verlet and softened gravity. The figure-eight is an approximation of a special Newtonian orbit. It omits collisions, relativity and real planetary data.

បញ្ចូលការពិសោធន៍និម្មិតនេះ

ដាក់វាចូលទៅក្នុង LMS ប្លក់ ឬគេហទំព័រថ្នាក់រៀនរបស់អ្នក — ឥតគិតថ្លៃ។

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