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Beta and Gamma Values in Relativity That Are Easy to Use Journal Article)

By: Material type: TextTextSeries: The Physics Teacher ; Volume 62, Number 3, March 2024Publication details: Washington :American Association of Physics Teachers , March 2024Description: 214pISSN:
  • 0031-921X
Subject(s): Online resources: Summary: Abstract: Fourteen pairs of β and 1/γ values are presented that each contain seven or fewer digits. For each pair, the associated value of γ is expressed as a fraction whose denominator, multiplied by γ, generates a product with five or fewer digits. Such numbers can be manipulated by handheld calculators without round-off error, permitting exact results for equations involving the factor γ as well as 1/γ in Einstein’s special theory of relativity. Similar student-friendly examples have recently been published for the calculation of Poynting vectors1 and relativistic velocities.
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Abstract: Fourteen pairs of β and 1/γ values are presented that each contain seven or fewer digits. For each pair, the associated value of γ is expressed as a fraction whose denominator, multiplied by γ, generates a product with five or fewer digits. Such numbers can be manipulated by handheld calculators without round-off error, permitting exact results for equations involving the factor γ as well as 1/γ in Einstein’s special theory of relativity.

Similar student-friendly examples have recently been published for the calculation of Poynting vectors1 and relativistic velocities.

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