Solution of optimal continuous low-thrust transfer using Lie transforms

This paper addresses the problem of optimal constant continuous low-thrust transfer in the context of the restricted two-body problem (R2BP). Using the Pontryagin’s principle, the problem is formulated as a two point boundary value problem (TPBVP) for a Hamiltonian system. Lie transforms obtained through the Deprit method allow us to obtain the canonical mapping of the phase flow as a series in terms of the order of magnitude of the thrust applied. The reachable set of states starting from a given initial condition using optimal control policy is obtained analytically. In addition, a particular optimal transfer can be computed as the solution of a non-linear algebraic equation. Se investiga el uso de series y transformadas de Lie en problemas de optimización de trayectorias de satélites impulsados por motores de bajo empuje

Three particle effects in the pair distribution function for He [superscript 4] gas,

"Supported in part by the Atomic Energy Commission."

Origins of molecular neurobiology:The role of the physicists

The revolution in the foundations of physics at the beginning of the twentieth century suggested to several of its most prominent workers that biology was ripe for something similar. In consequence, a number of physicists moved into biology. They were highly influential in initiating a molecular biology in the 1950s. Two decades later it seemed to several of these migrants, and those they had influenced, that the major problems in molecular biology had been solved, and that it was time to move on to what seemed to them the final problem: the nervous system, consciousness, and the age-old mind-body problem. This paper reviews this "double migration" and shows how the hopes of the first generation of physicist-biologists were both realized and dashed. No new physical principles were discovered at work in the foundations of biology or neuroscience. On the other hand, the mind-set of those trained in physics proved immensely valuable in analyzing fundamental issues in both biology and neuroscience. It has been argued that the outcome of the molecular biology of the 1950s was a change in the concept of the gene from that of "a mysterious entity into that of a real molecular object" (Watson, 1965, p.6); the gates and channels which play such crucial roles in the functioning of nervous systems have been transformed in a similar way. Studies on highly simplified systems have also opened the prospect of finding the neural correlatives of numerous behaviors and neuropathologies. This increasing understanding at the molecular level is invaluable not only in devising rational therapies but also, by defining the material substrate of consciousness, in bringing the mind-body problem into sharper focus. Copyright © Taylor & Francis Inc.

O problema mente-corpo na psicologia fenomenológica de Edith Stein : implicações para uma fundamentação da ciência psicológica

Psychology is a relatively new scientific branch and still lacks consistent methodological foundation to support its investigations. Given its immaturity, this science finds difficulties to delimit its ontological status, which spawnes several epistemological and methodological misconceptions. Given this, Psychology failed to demarcate precisely its object of study, leading, thus, the emergence of numerous conceptions about the psychic, which resulted in the fragmentation of this science. In its constitution, psychological science inherited a complex philosophical problem: the mind-body issue. Therefore, to define their status, Psychology must still face this problem, seeking to elucidate what is the mind, the body and how they relate. In light of the importance of this issue to a strict demarcation of psychological object, it was sought in this research, to investigate the mind-body problem in the Phenomenological Psychology of Edith Stein (1891-1942), phenomenologist philosopher who undertook efforts for a foundation of Psychology. For that, the discussion was subsidized from the contributions of the Philosophy of Mind and the support of the phenomenological method to the mind-body problem. From there, by a qualitative bibliographical methodology, it sought to examine the problem of research through the analysis of some philosophical-psychological philosopher's works, named: "Psychic Causality” (Kausalität Psychische, 1922) and “Introduction to Philosophy" (Einführung in die Philosophie, 1920). For this investigation, it was made, without prejudice to the discussion, a terminological equivalence between the terms mind and psyche, as the philosopher used the latter to refer to the object of Psychology. It sought to examine, therefore, how Stein conceived the psyche, the body and the relationship between them. Although it wasn't the focus of the investigation, it also took into account the spiritual dimension, as the philosopher conceived the human person as consisting of three dimensions: body, psyche and spirit. Given this, Stein highlighted the causal mechanism of the psyche, which is based on the variations of the vital force that emerges from the vital sphere. In relation to the corporeal dimension, the philosopher, following the analysis of Edmund Husserl (1859-1938), highlighted the dual aspect of the body, because it is at the same time something material (Körper) and also a linving body (Leib). On the face of it, it is understood that the psyche and the body are closely connected, so that it constitutes a dual-unit which is manifested in the Leib. This understanding of the problem psyche-mind/body provides a rich analysis of this issue, enabling the overcoming of some inconsistencies of the monistic and dualistic positions. Given this, it allows a strict elucidation of the Psychology object, contributing to the foundation of this science.

As relações de interação e integração entre cérebro, corpo-propriamente-dito e meio-ambiente na constituição da mente consciente

This dissertation will be marked by our proposal to hold a theoretical perspective to the classical mind-body problem, and more precisely for the defense of the idea that consciousness (or conscious mind) emerges from the interaction and integration relationships between body proper, brain and environment. This purpose will lead us to assume an alternative position with respect to the more traditional perspectives to the mind-body problem, ie an alternative perspective not only in relation to the dualistics forms of mind-body, but also in regards to the reductive physicalists, which usually reduces mind to brain. Aiming to support a position that both avoid the idea that mind and body are distinct substances and the theory that the brain explains the consciousness in its totality, we will dedicate an important part of this work to explain how the structure of consciousness depends significantly of the body proper and the bodily information mechanisms as well as the environment and the physiological mechanisms through which we place ourselves in space, in front of us and the other bodies (organic and inorganic). Given that the relationship between brain, body and environment involves different mental levels — from the most primitive and unconscious mental mechanisms until conscious and sophisticated levels — we will proceed to the task of assuming a model to explain in what sense these levels contribute to that our instincts and the most sophisticated dimensions of our mental life are part of the one and the same process, which is why we will structure our argument from the ideia that mind, self, and consciousness are the different hierarchical levels which make up the totality of our psychic life and therefore organic one. Imbued with this conceptual approach, we will advance to the focus of this work, namely the reasons that will lead us to give a prominent role to the body proper and the environment in the constitution of the conscious mind, or even the reasons that will lead us to defend the thesis according to which we are embodied and situated, as well as the reasons that will lead us to reject the theoretical positions that dichotomize man and world. In order to support the thesis that we are embodied and situated, and therefore with the purpose of overcoming the theoretical paradigms that dichotomize consciousness and world, we will turn out to the authors and the perspectives we believe to be more successful in this endeavor, including the phenomenological approaches to bodily self-consciousness, the enactivists perspectives and the researches dedicated to mapping the interaction and integration relationships between brain, body and environment. To achieve our goals, the dissertation will be divided into two chapters: the first chapter will emphasize in what way the structuring of consciousness depends on the body proper and the environment, while in the second chapter we will resort to the phenomenological dimensions of bodily self-consciousness, emphasizing the bodily information channels that provide us the immediate certainty, in a first person perspective, that the self is bodily in a non-metaphorical sense.

Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances

We study the interspecies scattering properties of ultracold Li-Cs mixtures in their two energetically lowest spin channels in the magnetic field range between 800 and 1000 G. Close to two broad Feshbach resonances (FR) we create weakly bound LiCs dimers by radio-frequency association and measure the dependence of their binding energy on the external magnetic field strength. Based on the binding energies and complementary atom loss spectroscopy of three other Li-Cs s-wave FRs we construct precise molecular singlet and triplet electronic ground state potentials using a coupled-channels calculation. We extract the Li-Cs interspecies scattering length as a function of the external field and obtain almost a ten-fold improvement in the precision of the values for the pole positions and widths of the s-wave FRs as compared to our previous work (Pires et al 2014 Phys. Rev. Lett. 112 250404). We discuss implications on the Efimov scenario and the universal geometric scaling for LiCsCs trimers.

On the rotation of co-orbital bodies in eccentric orbits

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital perturbations on the spin dynamics. This model is relevant in the entire domain of horseshoe and tadpole orbit, for moderate eccentricities. We show that there are three different families of spin-orbit resonances, one depending on the eccentricity, one depending on the orbital libration frequency, and another depending on the pericenter's dynamics. We can estimate the width and the location of the different resonant islands in the phase space, predicting which are the more likely to capture the spin of the rotating body. In some regions of the phase space the resonant islands may overlap, giving rise to chaotic rotation.

Um método numérico para a solução de problemas em física quântica de poucos corpos

Neste artigo é apresentado um método numérico que pode ser utilizado por alunos de graduação para a solução de problemas em física quântica de poucos corpos. O método é aplicado a dois problemas de dois corpos geralmente vistos pelos estudantes: o átomo de hidrogênio e o dêuteron. O método porém, pode ser estendido para três ou mais partículas.

De la Teoría Institucional del Arte a la Curaduría Creativa: revisión de una aproximación institucional a la definición de lo "artístico"

Es una revisión e interpretación profunda de la Teoría Institucional de Arte cuya reflexión se extiende hasta la Curaduría Creativa, un fenómeno del arte contemporáneo, del que podría predicarse un estatus de obra de arte. El objetivo principal pretende defender las condiciones bajo las cuales la curaduría puede considerarse una obra de arte.

Covariant Spectator Theory and Hadron Structure

We present the first results of a study on meson spectroscopy using a covariant formalism based on the Covariant Spectator Theory. Our approach is derived directly in Minkowski space and it approximates the Bethe–Salpeter equation by taking effectively into account the contributions from both ladder and crossed ladder diagrams in the $q\bar{q}$ interaction kernel. A general Lorentz structure of the kernel is tested and chiral constraints on the kernel are discussed. Results for the pion form factor are also presented.

Towards a Bourdieusian analysis of the disabled body and practice: embodying negative symbolic capitals and the uneasy experience of hysteresis

Within the last few years, disabled people have become the target of government austerity measures through drastic cuts to welfare justified through the portrayal of benefit claimants as inactive, problem citizens who are wilfully unemployed. For all that is wrong with these cuts, they are one of many aspects of exclusion that disabled people face. Attitudes towards disability are deteriorating (Scope, 2011) and disabled people are devalued and negatively positioned in a myriad of ways, meaning that an understanding of the perceptions and positioning of disability and the power of disabling practices is critical. This thesis will examine how Bourdieu’s theoretical repertoire may be applied to the area of Disability Studies in order to discern how society produces oppressive and exclusionary systems of classification which structures the social position and perceptions of disability. The composite nature of disability and multiple forms of exclusion and inequality associated with it benefits from a multipronged approach which acknowledges personal, embodied and psychological aspects of disability alongside socio-political and cultural conceptualisations. Bourdieu’s approach is one in which the micro and macro aspects of social life are brought together through their meso interplay and provides a thorough analysis of the many aspects of disability.

A hybrid heuristic for the multi-plant capacitated lot sizing problem with setup carry-over

This paper addresses the capacitated lot sizing problem (CLSP) with a single stage composed of multiple plants, items and periods with setup carry-over among the periods. The CLSP is well studied and many heuristics have been proposed to solve it. Nevertheless, few researches explored the multi-plant capacitated lot sizing problem (MPCLSP), which means that few solution methods were proposed to solve it. Furthermore, to our knowledge, no study of the MPCLSP with setup carry-over was found in the literature. This paper presents a mathematical model and a GRASP (Greedy Randomized Adaptive Search Procedure) with path relinking to the MPCLSP with setup carry-over. This solution method is an extension and adaptation of a previously adopted methodology without the setup carry-over. Computational tests showed that the improvement of the setup carry-over is significant in terms of the solution value with a low increase in computational time.

A STUDY OF PENALTY FORMULATIONS USED IN THE NUMERICAL APPROXIMATION OF A RADIALLY SYMMETRIC ELASTICITY PROBLEM

We consider a class of two-dimensional problems in classical linear elasticity for which material overlapping occurs in the absence of singularities. Of course, material overlapping is not physically realistic, and one possible way to prevent it uses a constrained minimization theory. In this theory, a minimization problem consists of minimizing the total potential energy of a linear elastic body subject to the constraint that the deformation field must be locally invertible. Here, we use an interior and an exterior penalty formulation of the minimization problem together with both a standard finite element method and classical nonlinear programming techniques to compute the minimizers. We compare both formulations by solving a plane problem numerically in the context of the constrained minimization theory. The problem has a closed-form solution, which is used to validate the numerical results. This solution is regular everywhere, including the boundary. In particular, we show numerical results which indicate that, for a fixed finite element mesh, the sequences of numerical solutions obtained with both the interior and the exterior penalty formulations converge to the same limit function as the penalization is enforced. This limit function yields an approximate deformation field to the plane problem that is locally invertible at all points in the domain. As the mesh is refined, this field converges to the exact solution of the plane problem.

Analytical solution to the zero-inertia problem for surge flow phenomena in nonprismatic channels

Surge flow phenomena. e.g.. as a consequence of a dam failure or a flash flood, represent free boundary problems. ne extending computational domain together with the discontinuities involved renders their numerical solution a cumbersome procedure. This contribution proposes an analytical solution to the problem, It is based on the slightly modified zero-inertia (ZI) differential equations for nonprismatic channels and uses exclusively physical parameters. Employing the concept of a momentum-representative cross section of the moving water body together with a specific relationship for describing the cross sectional geometry leads, after considerable mathematical calculus. to the analytical solution. The hydrodynamic analytical model is free of numerical troubles, easy to run, computationally efficient. and fully satisfies the law of volume conservation. In a first test series, the hydrodynamic analytical ZI model compares very favorably with a full hydrodynamic numerical model in respect to published results of surge flow simulations in different types of prismatic channels. In order to extend these considerations to natural rivers, the accuracy of the analytical model in describing an irregular cross section is investigated and tested successfully. A sensitivity and error analysis reveals the important impact of the hydraulic radius on the velocity of the surge, and this underlines the importance of an adequate description of the topography, The new approach is finally applied to simulate a surge propagating down the irregularly shaped Isar Valley in the Bavarian Alps after a hypothetical dam failure. The straightforward and fully stable computation of the flood hydrograph along the Isar Valley clearly reflects the impact of the strongly varying topographic characteristics on the How phenomenon. Apart from treating surge flow phenomena as a whole, the analytical solution also offers a rigorous alternative to both (a) the approximate Whitham solution, for generating initial values, and (b) the rough volume balance techniques used to model the wave tip in numerical surge flow computations.

Species richness, abundance, and body size relationships from a neotropical chironomid assemblage: Looking for patterns

We investigated two of the most studied relationships in the macroecological research program (species richness vs. body size and abundance vs. body size) of a local chironomid assemblage from southeastern Brazil. Although numerous Studies have examined these relationships, few have investigated how they vary at different temporal scales. We used data from a forested stream to document and examine these patterns at monthly intervals. Both the species body size distribution and the abundance-body size relationship varied temporally. In some months the body size distribution was skewed to the right. whereas in others it approached normality. We Found both linear relationships (with different values of slopes). and a polygonal pattern in the abundance-body size relationship. This temporal variation was not related to environmental variables. Our results suggest that body size relationships are temporally instable properties of this chironomid assemblage. (C) 2007 Gesellschaft fur Okologie. Published by Elsevier GmbH. All rights reserved.