The libration limits of the elastic pendulum
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1996
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The motion of the elastic pendulum is ruled by coupling between the pendulum mode and the harmonic oscillator mode. The bob of the pendulum executes trajectories in a domain of the vertical plane, the shape and size of which are set by the initial conditions and the total energy of the pendulum. The limits of this libration, in exact resonance, are studied using parabolic coordinates. Other Hamiltonians, with similar interaction terms, exhibit similar libration limits. (C) 1995 American Association of Physics Teachers.
Izvor:
American Journal of Physics, 1996, 64, 3, 338-342
DOI: 10.1119/1.18245
ISSN: 0002-9505
WoS: A1996TW97800029
Scopus: 2-s2.0-0347244296
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VinčaTY - JOUR AU - Davidović, Dragomir M. AU - Aničin, Božidar AU - Babović, Vukota M. PY - 1996 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1963 AB - The motion of the elastic pendulum is ruled by coupling between the pendulum mode and the harmonic oscillator mode. The bob of the pendulum executes trajectories in a domain of the vertical plane, the shape and size of which are set by the initial conditions and the total energy of the pendulum. The limits of this libration, in exact resonance, are studied using parabolic coordinates. Other Hamiltonians, with similar interaction terms, exhibit similar libration limits. (C) 1995 American Association of Physics Teachers. T2 - American Journal of Physics T1 - The libration limits of the elastic pendulum VL - 64 IS - 3 SP - 338 EP - 342 DO - 10.1119/1.18245 ER -
@article{ author = "Davidović, Dragomir M. and Aničin, Božidar and Babović, Vukota M.", year = "1996", abstract = "The motion of the elastic pendulum is ruled by coupling between the pendulum mode and the harmonic oscillator mode. The bob of the pendulum executes trajectories in a domain of the vertical plane, the shape and size of which are set by the initial conditions and the total energy of the pendulum. The limits of this libration, in exact resonance, are studied using parabolic coordinates. Other Hamiltonians, with similar interaction terms, exhibit similar libration limits. (C) 1995 American Association of Physics Teachers.", journal = "American Journal of Physics", title = "The libration limits of the elastic pendulum", volume = "64", number = "3", pages = "338-342", doi = "10.1119/1.18245" }
Davidović, D. M., Aničin, B.,& Babović, V. M.. (1996). The libration limits of the elastic pendulum. in American Journal of Physics, 64(3), 338-342. https://doi.org/10.1119/1.18245
Davidović DM, Aničin B, Babović VM. The libration limits of the elastic pendulum. in American Journal of Physics. 1996;64(3):338-342. doi:10.1119/1.18245 .
Davidović, Dragomir M., Aničin, Božidar, Babović, Vukota M., "The libration limits of the elastic pendulum" in American Journal of Physics, 64, no. 3 (1996):338-342, https://doi.org/10.1119/1.18245 . .