Asymptotic solution for the two-body problem with constant tangencial acceleration

An analytical solution of the two body problem perturbed by a constant tangential acceleration is derived with the aid of perturbation theory. The solution, which is valid for circular and elliptic orbits with generic eccentricity, describes the instantaneous time variation of all orbital elements. A comparison with high-accuracy numerical results shows that the analytical method can be effectively applied to multiple-revolution low-thrust orbit transfer around planets and in interplanetary space with negligible error.

Ab initio Methodology for Calculating Elastic Constant and Sound Velocity for Hydrogen and Deuterium in Molecular Solid Phase

Hydrogen isotopes play a critical role both in inertial and magnetic confinement Nuclear Fusion. Since the preferent fuel needed for this technology is a mixture of deuterium and tritium. The study of these isotopes particularly at very low temperatures carries a technological interest in other applications. The present line promotes a deep study on the structural configuration that hydrogen and deuterium adopt at cryogenic temperatures and at high pressures. Typical conditions occurring in present Inertial Fusion target designs. Our approach is aims to determine the crystal structure characteristics, phase transitions and other parameters strongly correlated to variations of temperature and pressure. With this results is possible calculated the elastic constant and sound velocity for hydrogen and deuterium in molecular solid phase.

A critical force constant of the structural phase transition in quartz

Long wavelength optical phonons of quartz were analyzed by a Born-Von Karman model not previously used. It was found that only one force constant associated with the turning of the Si-O bonds has a critical effect on the soft-mode frequency and the α-β transition in quartz. The square of the soft-mode frequency was found to depend linearly on this force constant which has the temperature dependence K(T)= -5.33+225.3x10-4(851-T)2/3 in units of 104 dyn/cm2.

Accurate analytical approximation of asteroid deflection with constant tangential thrust

We present analytical formulas to estimate the variation of achieved deflection for an Earth-impacting asteroid following a continuous tangential low-thrust deflection strategy. Relatively simple analytical expressions are obtained with the aid of asymptotic theory and the use of Peláez orbital elements set, an approach that is particularly suitable to the asteroid deflection problem and is not limited to small eccentricities. The accuracy of the proposed formulas is evaluated numerically showing negligible error for both early and late deflection campaigns. The results will be of aid in planning future low-thrust asteroid deflection missions

Jupiter power generation with electrodynamic tethers at constant orbital energy

An electrodynamic tether system for power generation at Jupiter is presented that allows extracting energy from Jupiter's corotating plasmasphere while leaving the system orbital energy unaltered to first order. The spacecraft is placed in a polar orbit with the tether spinning in the orbital plane so that the resulting Lorentz force, neglecting Jupiter's magnetic dipole tilt, is orthogonal to the instantaneous velocity vector and orbital radius, hence affecting orbital inclination rather than orbital energy. In addition, the electrodynamic tether subsystem, which consists of two radial tether arms deployed from the main central spacecraft, is designed in such a way as to extract maximum power while keeping the resulting Lorentz torque constantly null. The power-generation performance of the system and the effect on the orbit inclination is evaluated analytically for different orbital conditions and verified numerically. Finally, a thruster-based inclination-compensation maneuver at apoapsis is added, resulting in an efficient scheme to extract energy from the plasmasphere of the planet with minimum propellant consumption and no inclination change. A tradeoff analysis is conducted showing that, depending on tether size and orbit characteristics, the system performance can be considerably higher than conventional power-generation methods.

Normalizar la utopía: Un proyecto de sistematización de la normativa en vivienda social = Normalizing Utopia: A Project of Systematization of Regulations on Social Housing

La presente tesis doctoral aborda el estudio del proyecto de vivienda colectiva social desde la noción de norma, entendida desde la sistematización o normalización de los instrumentos del proyecto arquitectónico de vivienda protegida. Esto es, desde una idea de tipificación taxonómica en cuanto ajuste a un conjunto de reglas comunes productoras de sistemas normativos. La hipótesis de partida se basa en la consideración de la vivienda pública como un laboratorio de estudio histórico de los ideales de confort y calidad de vida. Este campo de pruebas ha constituido una sólida base que ha servido como punto de encuentro muy particular entre proyecto y normativa desde las primeras vanguardias europeas hasta la actualidad. El principal objetivo de la investigación es la revalorización de una normativa de vivienda que ha producido ejemplos de innegable calidad en el contexto nacional e internacional, así como un intento de actualización de su codificación. La investigación se sirve de los instrumentos específicos de la disciplina arquitectónica para explicar una disociación detectada desde la segunda mitad del siglo pasado entre la utopía del proyecto social de vivienda y el pragmatismo de la norma que lo regula, más allá de los aspectos sociales y culturales asociados a las nuevas composiciones familiares, las tecnologías cambiantes, los ritos domésticos contemporáneos o el valor creciente del tiempo libre. La propuesta de una nueva terminología que aborde nuevas relaciones en el acercamiento al proyecto de vivienda desde la normativa española deriva en un conjunto de estrategias de proyecto desde las que proponer sistemas normativos. Dichas estrategias se basan principalmente en mecanismos de cualificación espacial que permitan un nuevo acercamiento entre dichas normas y las formas de habitar actuales. ABSTRACT This doctoral thesis deals with the study of the project of social collective housing from the notion of rule, understanding it from the systematization or standardization of the instruments of architectural project for social housing. Thus, it deals with an idea of taxonomic typification as an adjustment to a set of common rules which produce regulation systems. The initial hypothesis is based on the consideration of public housing as a laboratory for studying the historical ideals of comfort and quality of life. This testing ground has been a solid base that has served as a very specific meeting point between project and regulations from the first European avant‐garde to nowadays. The main objective of this research is the revaluation of housing regulations, which have produced examples of undeniable quality in the national and international stage, as well as an attempt to update their codification. The research assumes the specific tools of the discipline of architecture for explaining a dissociation detected between the utopia of the project for social housing and the pragmatism of the regulations from the second half of last century, beyond social and cultural aspects associated to the new family arrangements, the changing technologies, the contemporary domestic rituals or the rising value of leisure time. The proposal of a new terminology that tackles new relations in the approach to housing project from the Spanish legislation results in a set of strategies to propose regulation systems. Those strategies are mainly based on mechanisms for spatial qualification which allow a new approach between these rules and the current ways of living.

On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity

We study a parabolic–elliptic chemotactic system describing the evolution of a population’s density “u” and a chemoattractant’s concentration “v”. The system considers a non-constant chemotactic sensitivity given by “χ(N−u)”, for N≥0, and a source term of logistic type “λu(1−u)”. The existence of global bounded classical solutions is proved for any χ>0, N≥0 and λ≥0. By using a comparison argument we analyze the stability of the constant steady state u=1, v=1, for a range of parameters. – For N>1 and Nλ>2χ, any positive and bounded solution converges to the steady state. – For N≤1 the steady state is locally asymptotically stable and for χN<λ, the steady state is globally asymptotically stable.

Measurement of the intrinsic damping constant in individual nanodisks of Y3Fe5O12 and Y3Fe5O12|Pt

We report on an experimental study on the spin-waves relaxation rate in two series of nanodisks of diameter ϕ=300 , 500, and 700 nm, patterned out of two systems: a 20 nm thick yttrium iron garnet (YIG) film grown by pulsed laser deposition either bare or covered by 13 nm of Pt. Using a magnetic resonance force microscope, we measure precisely the ferromagnetic resonance linewidth of each individual YIG and YIG|Pt nanodisks. We find that the linewidth in the nanostructure is sensibly smaller than the one measured in the extended film. Analysis of the frequency dependence of the spectral linewidth indicates that the improvement is principally due to the suppression of the inhomogeneous part of the broadening due to geometrical confinement, suggesting that only the homogeneous broadening contributes to the linewidth of the nanostructure. For the bare YIG nano-disks, the broadening is associated to a damping constant α=4 × 10−4 . A threefold increase of the linewidth is observed for the series with Pt cap layer, attributed to the spin pumping effect. The measured enhancement allows to extract the spin mixing conductance found to be G↑↓=1.55 × 1014 Ω−1 m−2 for our YIG(20nm)|Pt interface, thus opening large opportunities for the design of YIG based nanostructures with optimized magnetic losses.