453 research outputs found
Lyapunov vs. Geometrical Stability Analysis of the Kepler and the Restricted Three Body Problem
In this letter we show that although the application of standard Lyapunov
analysis predicts that completely integrable Kepler motion is unstable, the
geometrical analysis of Horwitz et al [1] predicts the observed stability. This
seems to us to provide evidence for both the incompleteness of the standard
Lyapunov analysis and the strength of the geometrical analysis. Moreover, we
apply this approach to the three body problem in which the third body is
restricted to move on a circle of large radius which induces an adiabatic time
dependent potential on the second body. This causes the second body to move in
a very interesting and intricate but periodic trajectory; however, the standard
Lyapunov analysis, as well as methods based on the parametric variation of
curvature associated with the Jacobi metric, incorrectly predict chaotic
behavior. The geometric approach predicts the correct stable motion in this
case as well.Comment: 9 pages, 14 figure
Extranodal MALT Lymphoma of the Right Triceps Muscle following Influenza Vaccine Injection: A Rare Case with an Interesting Presentation
The study describes a case of a 67-year-old female who developed a Stage I E marginal zone lymphoma of the right triceps muscle 1 month after influenza vaccination at the same site. She was treated with single modality, involved field radiation therapy (IFRT) to 4000 cGy in 20 fractions with excellent response and no evidence of disease after one year followup
Generation of Closed Timelike Curves with Rotating Superconductors
The spacetime metric around a rotating SuperConductive Ring (SCR) is deduced
from the gravitomagnetic London moment in rotating superconductors. It is shown
that theoretically it is possible to generate Closed Timelike Curves (CTC) with
rotating SCRs. The possibility to use these CTC's to travel in time as
initially idealized by G\"{o}del is investigated. It is shown however, that
from a technology and experimental point of view these ideas are impossible to
implement in the present context.Comment: 9 pages. Submitted to Classical and Quantum Gravit
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