2,244 research outputs found
The Janus head of the HD 12661 planetary system
In this work we perform a global analysis of the radial velocity curve of the
HD 12661 system. Orbital fits that are obtained by the genetic and gradient
algorithms of minimization reveal the proximity of the system to the 6:1 mean
motion resonance. The orbits are locked in the secular resonance with apsidal
axes librating about 180 deg with the full amplitude . Our
solution incorporates the mutual interaction between the companions. The
stability analysis with the MEGNO fast indicator shows that the system is
located in an extended stable zone of quasi-periodic motions. These results are
different from those obtained on the basis of the orbital fit published by
Fischer et al. (2003)Comment: 7 pages, 5 figures, manuscript submitted to ApJ Letters, revised
versio
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
In this paper we analyse the integrability of a dynamical system describing
the rotational motion of a rigid satellite under the influence of gravitational
and magnetic fields. In our investigations we apply an extension of the Ziglin
theory developed by Morales-Ruiz and Ramis. We prove that for a symmetric
satellite the system does not admit an additional real meromorphic first
integral except for one case when the value of the induced magnetic moment
along the symmetry axis is related to the principal moments of inertia in a
special way.Comment: 39 pages, 4 figures, missing bibliography was adde
Effects of very high turbulence on convective heat transfer
The effects of high-intensity, large-scale turbulence on turbulent boundary-layer heat transfer are studied. Flow fields were produced with turbulence intensities up to 40% and length scales up to several times the boundary layer thickness. In addition, three different types of turbulence will be compared to see whether they have the same effect on the boundary layer. The three are: the far field of a free jet, flow downstream of a grid, and flow downstream of a simulated gas turbine combustor. Each turbulence field will be characterized by several measures: intensity (by component), scale, and spectrum. Heat transfer will be measured on a 2.5 m long, 0.5 m wide flat plate using the energy-balance technique. The same plate will be used in each of the four flow fields; a low-turbulence tunnel for baseline data, and the three flow situations mentioned
Non-integrability of density perturbations in the FRW universe
We investigate the evolution equation of linear density perturbations in the
Friedmann-Robertson-Walker universe with matter, radiation and the cosmological
constant. The concept of solvability by quadratures is defined and used to
prove that there are no "closed form" solutions except for the known Chernin,
Heath, Meszaros and simple degenerate ones. The analysis is performed applying
Kovacic's algorithm. The possibility of the existence of other, more general
solutions involving special functions is also investigated.Comment: 13 pages. The latest version with added references, and a relevant
new paragraph in section I
Relative equilibria in the unrestricted problem of a sphere and symmetric rigid body
We consider the unrestricted problem of two mutually attracting rigid bodies,
an uniform sphere (or a point mass) and an axially symmetric body. We present a
global, geometric approach for finding all relative equilibria (stationary
solutions) in this model, which was already studied by Kinoshita (1970). We
extend and generalize his results, showing that the equilibria solutions may be
found by solving at most two non-linear, algebraic equations, assuming that the
potential function of the symmetric rigid body is known explicitly. We
demonstrate that there are three classes of the relative equilibria, which we
call "cylindrical", "inclined co-planar", and "conic" precessions,
respectively. Moreover, we also show that in the case of conic precession,
although the relative orbit is circular, the point-mass and the mass center of
the body move in different parallel planes. This solution has been yet not
known in the literature.Comment: The manuscript with 10 pages, 5 figures; accepted to the Monthly
Notices of the Royal Astronomical Societ
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