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Using the dimensionless Newton gravity constant α¯G to estimate planetary orbits

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  • Oliveira Neto, Marçal de

Abstract

The paper shows that a theoretical description of planetary orbits may be obtained from the dimensionless Newton constant of gravity. A quantum re-scaled procedure is employed using the charge-to-mass and electrostatic-to-gravitational force ratios in the context of the Niels Bohr-like atomic model for a protonic system in interaction.

Suggested Citation

  • Oliveira Neto, Marçal de, 2005. "Using the dimensionless Newton gravity constant α¯G to estimate planetary orbits," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 19-27.
  • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:19-27
    DOI: 10.1016/j.chaos.2004.07.032
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    Cited by:

    1. Pintr, P. & Peřinová, V. & Lukš, A., 2008. "Allowed planetary orbits in the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1273-1282.
    2. Krot, Alexander M., 2009. "A statistical approach to investigate the formation of the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1481-1500.
    3. Giné, Jaume, 2007. "On the origin of the gravitational quantization: The Titius–Bode law," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 363-369.

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