Closed orbits and the harmonic Manev potential

Velten H, Sampaio RV (2009)
Revista Brasileira de Ensino de Fisica 31(1).

Journal Article | Published | Portuguese

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We study conditions for the existence of closed orbits in three distinct potentials. Firstly, we confirm well known conditions for the Manev problem. In a second step, inspired by the result of Bertrand's theorem, we construct a harmonic Manev potential with a harmonic oscillator term instead of the Newtonian one. As in the original Manev potential we find similar conditions for closed orbits that are correlated with restrict values of angular momenta. We analyse also a harmonic corrected Newtonian potential.
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Velten H, Sampaio RV. Closed orbits and the harmonic Manev potential. Revista Brasileira de Ensino de Fisica. 2009;31(1).
Velten, H., & Sampaio, R. V. (2009). Closed orbits and the harmonic Manev potential. Revista Brasileira de Ensino de Fisica, 31(1).
Velten, H., and Sampaio, R. V. (2009). Closed orbits and the harmonic Manev potential. Revista Brasileira de Ensino de Fisica 31.
Velten, H., & Sampaio, R.V., 2009. Closed orbits and the harmonic Manev potential. Revista Brasileira de Ensino de Fisica, 31(1).
H. Velten and R.V. Sampaio, “Closed orbits and the harmonic Manev potential”, Revista Brasileira de Ensino de Fisica, vol. 31, 2009.
Velten, H., Sampaio, R.V.: Closed orbits and the harmonic Manev potential. Revista Brasileira de Ensino de Fisica. 31, (2009).
Velten, Hermano, and Sampaio, R. V. “Closed orbits and the harmonic Manev potential”. Revista Brasileira de Ensino de Fisica 31.1 (2009).
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