96 research outputs found
On collisional capture rates of irregular satellites around the gas-giant planets and the minimum mass of the solar nebula
We investigated the probability that an inelastic collision of planetesimals
within the Hill sphere of the Jovian planets could explain the presence and
orbits of observed irregular satellites. Capture of satellites via this
mechanism is highly dependent on not only the mass of the protoplanetary disk,
but also the shape of the planetesimal size distribution. We performed 2000
simulations for integrated time intervals Myr and found that, given
the currently accepted value for the minimum mass solar nebula and planetesimal
number density based upon the \citet{Nesvorny2003} and \citet{Charnoz2003} size
distribution , the collision rates for the different
Jovian planets range between and \gtrsim 170 \, \Myr^{-1} for
objects with radii, 1 \, \km \le r \le 10 \, \km. Additionally, we found that
the probability that these collisions remove enough orbital energy to yield a
bound orbit was and had very little dependence on the
relative size of the planetesimals. Of these collisions, the collision energy
between two objects was times the gravitational binding energy
for objects with radii km. We find that, capturing irregular
satellites via collisions between unbound objects can only account for of the observed population, hence can this not be the sole method of
producing irregular satellites.Comment: 11 pages 4 figures 1 table; This replaces a prior submission, which
contained some minor contradictions within the text accepted by MNRAS in
pres
The free energy of NOAA active region AR 11029
The NOAA active region AR 11029 was a small but highly active sunspot region
which produced 73 GOES soft X-ray flares. The flares appear to show a departure
from the well known power-law frequency-size distribution. Specifically, too
few GOES C-class and no M-class flares were observed by comparison with a
power-law distribution (Wheatland in Astrophys. J. 710, 1324, 2010). This was
conjectured to be due to the region having insufficient magnetic energy to
power large events. We construct nonlinear force-free extrapolations of the
coronal magnetic field of active region AR 11029 using data taken on 24 October
by the SOLIS Vector-SpectroMagnetograph (SOLIS/VSM), and data taken on 27
October by the Hinode Solar Optical Telescope SpectroPolarimeter (Hinode/SP).
Force-free modeling with photospheric magnetogram data encounters problems
because the magnetogram data are inconsistent with a force-free model, and we
employ a recently developed `self-consistency' procedure which addresses this
and accommodates uncertainties in the boundary data (Wheatland and Regnier in
Astrophys. J. 700, L88, 2009). We calculate the total energy and free energy of
the self-consistent solution and find that the free energy was 4x10^29 erg on
24 October, and 7x10^31 erg on 27 October. An order of magnitude scaling
between RHESSI non-thermal energy and GOES peak X-ray flux is established from
a sample of flares from the literature and is used to estimate flare energies
from observed GOES peak X-ray flux. Based on the scaling, we conclude that the
estimated free energy of AR 11029 on 27 October when the flaring rate peaked is
sufficient to power M-class or X-class flares, and hence the modeling does not
appear to support the hypothesis that the absence of large flares is due to the
region having limited energy.Comment: Accepted for publication in Solar Physic
On Physical Equivalence between Nonlinear Gravity Theories
We argue that in a nonlinear gravity theory, which according to well-known
results is dynamically equivalent to a self-gravitating scalar field in General
Relativity, the true physical variables are exactly those which describe the
equivalent general-relativistic model (these variables are known as Einstein
frame). Whenever such variables cannot be defined, there are strong indications
that the original theory is unphysical. We explicitly show how to map, in the
presence of matter, the Jordan frame to the Einstein one and backwards. We
study energetics for asymptotically flat solutions. This is based on the
second-order dynamics obtained, without changing the metric, by the use of a
Helmholtz Lagrangian. We prove for a large class of these Lagrangians that the
ADM energy is positive for solutions close to flat space. The proof of this
Positive Energy Theorem relies on the existence of the Einstein frame, since in
the (Helmholtz--)Jordan frame the Dominant Energy Condition does not hold and
the field variables are unrelated to the total energy of the system.Comment: 37 pp., TO-JLL-P 3/93 Dec 199
Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion
We examine the cosmological constraining power of future large-scale weak
lensing surveys on the model of \emph{Euclid}, with particular reference to
primordial non-Gaussianity. Our analysis considers several different estimators
of the projected matter power spectrum, based on both shear and flexion, for
which we review the covariances and Fisher matrices. The bounds provided by
cosmic shear alone for the local bispectrum shape, marginalized over
, are at the level of . We consider
three additional bispectrum shapes, for which the cosmic shear constraints
range from (equilateral shape) up to (orthogonal shape). The competitiveness of cosmic
flexion constraints against cosmic shear ones depends on the galaxy intrinsic
flexion noise, that is still virtually unconstrained. Adopting the very high
value that has been occasionally used in the literature results in the flexion
contribution being basically negligible with respect to the shear one, and for
realistic configurations the former does not improve significantly the
constraining power of the latter. Since the flexion noise decreases with
decreasing scale, by extending the analysis up to
cosmic flexion, while being still subdominant, improves the shear constraints
by when added. However on such small scales the highly non-linear
clustering of matter and the impact of baryonic physics make any error
estimation uncertain. By considering lower, and possibly more realistic, values
of the flexion intrinsic shape noise results in flexion constraining power
being a factor of better than that of shear, and the bounds on
and being improved by a factor of upon
their combination. (abridged)Comment: 30 pages, 4 figures, 4 tables. To appear on JCA
Electric current circuits in astrophysics
Cosmic magnetic structures have in common that they are anchored
in a dynamo, that an external driver converts kinetic energy into internal
magnetic energy, that this magnetic energy is transported as Poynting fl ux across the magnetically dominated structure, and that the magnetic energy
is released in the form of particle acceleration, heating, bulk motion,
MHD waves, and radiation. The investigation of the electric current system is
particularly illuminating as to the course of events and the physics involved.
We demonstrate this for the radio pulsar wind, the solar flare, and terrestrial
magnetic storms
A new Contribution to Cosmological Perturbations of some Inflationary Models
We show that there are inflationary models for which perturbations in the
energy momentum tensor, which are of second order in the scalar field, cannot
be neglected. We first specify the conditions under which the usual first order
perturbations are absent. We then analyze classically, the growth and decay of
our new type of perturbations for one mode of fluctuations \de\phi_k in the
scalar field. We generalize this analysis, considering the contribution from
the whole spectrum of \de\phi to a given wavelength of geometrical
perturbations. Finally, we discuss the evolution of the perturbations during
the subsequent radiation dominated era and discuss the resulting spectrum of
density fluctuations. In the case of a massless scalar field we find a spectral
index . For massive scalar fields we obtain but the resulting
amplitude of fluctuations for inflation around a GUT scale are by far too high.
Hence, 'conventional' inflationary models must not be influenced by this new
type of perturbations, in order to lead to acceptable matter and CMB
fluctuations.Comment: LaTeX file, 15p, 2 Postscript Figs. available on request, Zurich
University Preprint ZU-TH9/9
Fluctuations of the Gravitational Constant Induced by Primordial Bubbles
We consider the classical fluctuations of the gravitational constant
generated by bubbles in the inflationary universe. For extended inflation, we
demonstrate numerically how and how large fluctuations are produced during
bubble expansion. The amplitude of the fluctuations depends on the Brans-Dicke
parameter : if is of the order of unity, the amplitude becomes
of the order of unity within one Hubble expansion time; if is large
(say, ), the growth rate of the fluctuations is small, but it
keeps growing without freezing during inflation. We also discuss some
astrophysical implications of our results.Comment: 8 pages, revtex, postscript figures, some comments are corrected, to
appear in Phys. Rev.
Microflares and the Statistics of X-ray Flares
This review surveys the statistics of solar X-ray flares, emphasising the new
views that RHESSI has given us of the weaker events (the microflares). The new
data reveal that these microflares strongly resemble more energetic events in
most respects; they occur solely within active regions and exhibit
high-temperature/nonthermal emissions in approximately the same proportion as
major events. We discuss the distributions of flare parameters (e.g., peak
flux) and how these parameters correlate, for instance via the Neupert effect.
We also highlight the systematic biases involved in intercomparing data
representing many decades of event magnitude. The intermittency of the
flare/microflare occurrence, both in space and in time, argues that these
discrete events do not explain general coronal heating, either in active
regions or in the quiet Sun.Comment: To be published in Space Science Reviews (2011
Use of hydrophilic and hydrophobic polymers for the development of controlled release tizanidine matrix tablets
The aim of the present study was to develop tizanidine controlled release matrix. Formulations were designed using central composite method with the help of design expert version 7.0 software. Avicel pH 101 in the range of 14-50% was used as a filler, while HPMC K4M and K100M in the range of 25-55%, Ethylcellulose 10 ST and 10FP in the range of 15 - 45% and Kollidon SR in the range of 25-60% were used as controlled release agents in designing different formulations. Various physical parameters including powder flow for blends and weight variation, thickness, hardness, friability, disintegration time and in-vitro release were tested for tablets. Assay of tablets were also performed as specified in USP 35 NF 32. Physical parameters of both powder blend and compressed tablets such as compressibility index, angle of repose, weight variation, thickness, hardness, friability, disintegration time and assay were evaluated and found to be satisfactory for formulations K4M2, K4M3, K4M9, K100M2, K100M3, K100M9, E10FP2, E10FP9, KSR2, KSR3 & KSR9. In vitro dissolution study was conducted in 900 ml of 0.1N HCl, phosphate buffer pH 4.5 and 6.8 medium using USP Apparatus II. In vitro release profiles indicated that formulations prepared with Ethocel 10 standard were unable to control the release of drug while formulations K4M2, K100M9, E10FP2 & KSR2 having polymer content ranging from 40-55% showed a controlled drug release pattern in the above mentioned medium. Zero-order drug release kinetics was observed for formulations K4M2, K100M9, E10FP2 & KSR2. Similarity test (f2) results for K4M2, E10FP2 & KSR2 were found to be comparable with reference formulation K100M9. Response Surface plots were also prepared for evaluating the effect of independent variable on the responses. Stability study was performed as per ICH guidelines and the calculated shelf life was 24-30 months for formulation K4M2, K100M9 and E10FP2
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