Research Article Open Access

Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates

F. Tonon

Abstract

The inertia tensor of a tetrahedron is composed of its moments of inertia. This study presents explicit exact formulas for the moments of inertia of a 3-D tetrahedron as simple polynomials of its vertex coordinates.

Journal of Mathematics and Statistics
Volume 1 No. 1, 2005, 8-11

DOI: https://doi.org/10.3844/jmssp.2005.8.11

Published On: 31 March 2005

How to Cite: Tonon, F. (2005). Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates. Journal of Mathematics and Statistics, 1(1), 8-11. https://doi.org/10.3844/jmssp.2005.8.11

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Keywords

  • Inertia tensor
  • inertia moments
  • tetrahedron