Basic Studies in Space Vehicle Attitude Control Tenth Semiannual Status Report, Period Ending Jun. 1966

Nonlinear optimal control of planet-pointing space vehicle, basic methods for attitude control, and satellite orbit theorie

Alternative Policies with Complementary Benefits: Targeting Greenhouse Emissions or Water Recharge on Farming Systems?

Policies introduced to address one environmental objective can often have the side-benefit of also addressing other environmental objectives. This analysis uses a whole farm bioeconomic model to explore the farm level implications, economic and environmental, of a policy initially designed to reduce greenhouse emissions. We model a regulatory policy which imposes an upper limit on farm greenhouse emissions but allows trees to be used as carbon sinks to offset emissions. The implementation of this policy causes a reduction in whole farm profit, but in addition to decreasing emissions it also decreases groundwater recharge from the farming system and therefore contributes to the prevention of dryland salinity. The analysis compares this approach with using a recharge restriction policy to achieve recharge and emissions reductions. The analysis finds that the position of trees in the landscape affects the extent to which groundwater recharge can be reduced for a given reduction in emissions and that there is a three-way trade-off between profit, emissions reduction and recharge.Environmental Economics and Policy,

Effective polar potential in the central force Schrodinger equation

The angular part of the Schrodinger equation for a central potential is brought to the one-dimensional 'Schrodinger form' where one has a kinetic energy plus potential energy terms. The resulting polar potential is seen to be a family of potentials characterized by the square of the magnetic quantum number m. It is demonstrated that this potential can be viewed as a confining potential that attempts to confine the particle to the xy-plane, with a strength that increases with increasing m. Linking the solutions of the equation to the conventional solutions of the angular equation, i.e. the associated Legendre functions, we show that the variation in the spatial distribution of the latter for different values of the orbital angular quantum number l can be viewed as being a result of 'squeezing' with different strengths by the introduced 'polar potential'.Comment: This is an author-created, un-copyedited version of an article accepted for publication in European Journal of Physic

Basic studies in space vehicle attitude control Ninth semiannual status report

Space vehicle attitude control systems - manned space station, satellite in elliptic orbit, and solar perturbation of Mars Orbite

A perturbative treatment for the energy levels of neutral atoms

Energy levels of neutral atoms have been re-examined by applying an alternative perturbative scheme in solving the Schrodinger equation for the Yukawa potential model with a modified screening parameter. The predicted shell binding energies are found to be quite accurate over the entire range of the atomic number $Z$ up to 84 and compare very well with those obtained within the framework of hyper-virial-Pade scheme and the method of shifted large-N expansion. It is observed that the new perturbative method may also be applied to the other areas of atomic physics.Comment: 18 page

Scattering in Noncommutative Quantum Mechanics

We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method it is shown that the conservation of the number of particles in elastic scattering is also valid in noncommutative spaces which means that the unitarity relation is held in noncommutative spaces. We also show that the noncommutativity of space has no effect on the optical theorem. Finally we study Gaussian function potential in noncommutative spaces which generates delta function potential as $\theta \to 0$.Comment: 7 Pages, no figure, accepted for publication in Modern Physics Letters

A method to detect sub-communities from multivariate spatial associations

1.Species are seldom distributed randomly across a community, but instead show spatial structure that is determined by environmental gradients and/or biotic interactions. Analysis of the spatial co-associations of species may therefore reveal information on the processes that helped to shape those patterns. 2.We propose a multivariate approach that uses the spatial co-associations between all pairs of species to find sub-communities of species whose distribution in the study area are positively correlated. Our method, which begins with the patterns of individuals, is particularly well-suited for communities with large numbers of species, and gives rare species an equal weight. We propose a method to quantify a maximum number of sub-communities that are significantly more correlated than expected under a null model of independence. 3.Using data on the distribution of tree and shrub species from a 50 ha forest plot on Barro Colorado Island (BCI), Panama, we show that our method can be used to construct biologically meaningful sub-communities that are linked to the spatial structure of the plant community. As an example, we construct spatial maps from the sub-communities that closely follow habitats based on environmental gradients (such as slope) as well as different biotic conditions (such as canopy gaps). 4.We discuss extensions and adaptations to our method that might be appropriate for other types of spatially referenced data and for other ecological communities. We make suggestions for other ways to interpret the sub-communities using phylogenetic relationships, biological traits, and environmental variables as covariates, and note that sub-communities that are hard to interpret may suggest groups of species and/or regions of the landscape that warrant further attention

Intrinsic localized modes in the charge-transfer solid PtCl

We report a theoretical analysis of intrinsic localized modes in a quasi-one-dimensional charge-transfer-solid $[Pt(en)_2][Pt(en)_2 Cl_2](ClO_4)_4$(PtCl). We discuss strongly nonlinear features of resonant Raman overtone scattering measurements on PtCl, arising from quantum intrinsic localized (multiphonon) modes (ILMs) and ILM-plus-phonon states. We show, that Raman scattering data displays clear signs of a non-thermalization of lattice degrees-of-freedom, manifested in a nonequilibrium density of intrinsic localized modes.Comment: 4 pages, 4 figures, REVTE

Multi-electron SEFs for nuclear reactions involved in advanced stages of stellar evolution

Multi-electron screening effects encountered in laboratory astrophysical reactions are investigated by considering the reactants Thomas-Fermi atoms. By means of that model, previous studies are extended to derive the corresponding screening enhancement factor (SEF), so that it takes into account ionization, thermal, exchange and relativistic effects. The present study, by imposing a very satisfactory constraint on the possible values of the screening energies and the respective SEFs, corrects the current (and the future) experimental values of the astrophysical factors associated with nuclear reactions involved in advanced stages of stellar evolution.Comment: 13 RevTex pages+6 ps figures; Accepted for publication in Nuclear Physics

Squeezed States and Affleck Dine Baryogenesis

Quantum fluctuations in the post inflationary Affleck-Dine baryogenesis model are studied. The squeezed states formalism is used to give evolution equations for the particle and anti-particle modes in the early universe. The role of expansion and parametric amplification of the quantum fluctuations on the baryon asymmetry produced is investigated.Comment: 8 pages 9 figure