Browsing by Subject "resonance"
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Item Origin And Dynamics Of The Mutually Inclined Orbits Of Upsilon Andromedae C And D(2011-07) Barnes, Rory; Greenberg, Richard; Quinn, Thomas R.; McArthur, Barbara E.; Benedict, G. Fritz; McArthur, Barbara E.; Benedict, G. FritzWe evaluate the orbital evolution and several plausible origin scenarios for the mutually inclined orbits of upsilon And c and d. These two planets have orbital elements that oscillate with large amplitudes and lie close to the stability boundary. This configuration, and in particular the observed mutual inclination, demands an explanation. The planetary system may be influenced by a nearby low-mass star, upsilon And B, which could perturb the planetary orbits, but we find it cannot modify two coplanar orbits into the observed mutual inclination of 30 degrees. However, it could incite ejections or collisions between planetary companions that subsequently raise the mutual inclination to >30 degrees. Our simulated systems with large mutual inclinations tend to be further from the stability boundary than upsilon And, but we are able to produce similar systems. We conclude that scattering is a plausible mechanism to explain the observed orbits of upsilon And c and d, but we cannot determine whether the scattering was caused by instabilities among the planets themselves or by perturbations from upsilon And B. We also develop a procedure to quantitatively compare numerous properties of the observed system to our numerical models. Although we only implement this procedure to upsilon And, it may be applied to any exoplanetary system.Item Overview Of Nonlinear Kinetic Instabilities(2012-09) Berk, H. L.; Berk, H.L.The saturation of shear Alfven-like waves by alpha particles is presented from the general viewpoint of determining the saturation mechanisms of basic waves in a plasma destabilized by a perturbing source of free energy. The formalism is reviewed and then followed by analyses of isolated mode saturation far from and close to marginal stability. The effect of multiple waves that are isolated or are overlapping is then discussed. The presentation is concluded with a discussion of a non-conventional quasilinear theory that covers both extreme cases as well as the intermediate regime between the extremes.Item Quantal Time Asymmetry: Mathematical Foundation And Physical Interpretation(2010-07) Bohm, A.; Bohm, A.Time in standard quantum mechanics extends from -infinity < t < + infinity; this is the result of a mathematical theorem (Stone-von Neumann) for the solutions of the Schrodinger equation for states or of the Heisenberg equation for observables. In reality t does not extend to t -> -infinity since according to causality, a quantum state phi(+) must be prepared first at a particular time t = t(0), before the probability vertical bar(psi(-)(t),phi+(t(0))vertical bar(2) for an observable psi(-) can be measured in it at t > t(0) (Feynman (1948)). In experiments on single Ba(+) ions, Dehmelt and others observed this finite preparation time as the ensemble of onset-times t(0)(1),t(0)(2), ..., t(0)(n) of dark periods. How the semigroup time evolution, t(0) equivalent to 0 < t < infinity with a beginning of time t(0), can suggest the parametrization of the resonance pole position of the Z-boson at S= s(R) as s(R) = (M(R) - i Gamma(R)/2)(2) in terms of a mass M(R) and a width Gamma(R) given by a lifetime tau = (h) over bar/Gamma(R), is the subject of this contribution dedicated to Augusto Garcia.Item Spin-orbit coupling in the solar system(2009-05) Marsh, Jasmina Pozderac; Llave, Rafael de la; Gonzalez, Oscar, 1968-The existence of the exact commensurability between the periods of rotation and revolution of a satellite orbiting a planet is not a rare phenomenon in the Solar system. In fact, there are several examples of such resonances with the Earth-Moon system being the most familiar example of a 1:1 (synchronous) resonance. In this report, I will discuss the questions of stability of five resonant systems (Moon – Earth, Enceladus - Saturn, Dione - Saturn, Rhea – Saturn, and Mercury – Sun (the only non – synchronous resonance among the evolved spin – orbit resonances in the Solar system). Several authors have investigated the stability of spin-orbit resonances, and, in this report, I will concentrate on the two most recent investigations.Item Wireless power transfer in the classroom(2013-08) O'Dell, David Harrison; Ling, HaoTraditional methods of teaching magnetic induction with lab investigations using a battery, wire and compass are best reserved for demonstration purposes to introduce this particular topic. The modern student who sits in a physics course also lives in a world filled with an increasing number of small portable devices that will eventually be charged wirelessly using some form of magnetic induction. The topic of magnetic induction needs to be placed in the modern context it deserves since the future of transmitting power will eventually be through wireless means. The wireless power transfer kit described in this report is designed to improve student understanding and the application of magnetic induction in an engaging, relevant manner.