Time-Optimal Control of a Bounded Phase-Coordinate Process II: High-Order Systems with Multiple Control Inputs

This paper considers the problem arising from the design of an autopilot for a large booster. The motion-controlling actuators of the booster have both position and rate limits. The problem is formulated as a bounded phase-coordinate problem and analyzed by the ``backing out of the target' procedure. A method of constructing the optimal control is presented. An example of an oscillatory system with two control inputs is given, and the optimal control is expressed as an explicit time function.     

A dissection of 30 Doradus and a discussion of other Magellanic Cloud OB associations

I Present the results of ground-based and Hubble Space Telescope photometry and spectroscopy of the stars in the central region (roughly 7×7 arcmin) of 30 Doradus in the Large Magellanic Cloud (LMC). Using photometric data for over 2400 stars (complete toV18 mag), and spectroscopic observations of over 150 stars in the region, the best estimate of the initial mass function (IMF) yields a slope of =–1.5±0.2 for masses > 12M, where the Salpeter slope is =–1.35. I compare these results to other measurements of the IMF for OB associations in the Magellanic Clouds.     

Leadership in space transportation

Rather than aiming at overall preemenence in space, as in the past, it is important for the USA now to specify goals and objectives for its space programme. In the space transportation market, the USA faces long-term competition. Planned properly, the Space Shuttle, Space Station and transfer stages can be used as a unique transport system, forcing other suppliers to compete on US terms. Such a total transport service system could also include ELV support. In entering into international space agreements, the government must take into account the objective of maintaining the competitiveness of the US commercial sector.     

Evaluating the economic impact of design alternatives on domestic communication satellite ventures

What are the economic consequences of establishing a domestic communication satellite venture? Has the best design alternative been selected? Should investments be made to develop new technology? How much should be invested? These are but some of the questions facing those concerned with providing domestic communication satellite services. Because of the demand, performance and cost uncertainties and the unpredictability of the need for and timing of large capital expenditures (due to less than perfect reliability of transportation systems and satellites) providing answers to these and other related questions is a complex process.This paper describes a methodology for providing answers to the above questions. The methodology, by explicitly considering demand, performance and cost uncertainties and satellite and transportation system reliability, develops probabilistic pro forma financial analyses of domestic communication satellite system ventures. In so doing, the risk dimension is quantified and alternative courses of action can be evaluated and compared taking into account expected values, risk and risk aversion preferences. It is also important to quantify and consider the risk dimension since many R &; D projects are specifically aimed at risk reduction.     

基于网格变形的伴随方法在翼型优化中的应用

进行了基于网格变形的伴随方法在翼型气动优化设计中应用的研究。随着集成了伴随方法的流场求解器的普及和效率的不断提高,采用梯度法进行翼型气动优化设计的主要计算花费逐渐由计算梯度对流场变量的敏感度（或流场敏感度）转变为计算梯度对网格变形的敏感度（或网格敏感度）,后者的求解通常采用有限差分方法,计算花费较高。在传统伴随方法（或流场伴随方法）的基础上,引入了基于网格变形的伴随方法（或网格伴随方法）,采用网格伴随方法计算梯度,可以大幅度减少梯度计算花费,提高翼型气动优化设计的效率。     

On the effect of considering more realistic particle shape and mass parameters in MMOD risk assessments

One of the primary mission risks tracked in the development of all spacecraft is that due to micro-meteoroids and orbital debris (MMOD). Both types of particles, especially those larger than 0.1 mm in diameter, contain sufficient kinetic energy due to their combined mass and velocities to cause serious damage to crew members and spacecraft. The process used to assess MMOD risk consists of three elements: environment, damage prediction, and damage tolerance. Orbital debris risk assessments for the Orion vehicle, as well as the Shuttle, Space Station and other satellites use ballistic limit equations (BLEs) that have been developed using high speed impact test data and results from numerical simulations that have used spherical projectiles. However, spheres are not expected to be a common shape for orbital debris; rather, orbital debris fragments might be better represented by other regular or irregular solids. In this paper we examine the general construction of NASA’s current orbital debris (OD) model, explore the potential variations in orbital debris mass and shape that are possible when using particle characteristic length to define particle size (instead of assuming spherical particles), and, considering specifically the Orion vehicle, perform an orbital debris risk sensitivity study taking into account variations in particle mass and shape as noted above. While the results of the work performed for this study are preliminary, they do show that continuing to use aluminum spheres in spacecraft risk assessments could result in an over-design of its MMOD protection systems. In such a case, the spacecraft could be heavier than needed, could cost more than needed, and could cost more to put into orbit than needed. The results obtained in this study also show the need to incorporate effects of mass and shape in mission risk assessment prior to first flight of any spacecraft as well as the need to continue to develop/refine BLEs so that they more accurately reflect the shape and material density variations inherent to the actual debris environment.     

Alice: The rosetta Ultraviolet Imaging Spectrograph

We describe the design, performance and scientific objectives of the NASA-funded ALICE instrument aboard the ESA Rosetta asteroid flyby/comet rendezvous mission. ALICE is a lightweight, low-power, and low-cost imaging spectrograph optimized for cometary far-ultraviolet (FUV) spectroscopy. It will be the first UV spectrograph to study a comet at close range. It is designed to obtain spatially-resolved spectra of Rosetta mission targets in the 700–2050 Å spectral band with a spectral resolution between 8 Å and 12 Å for extended sources that fill its ～0.05^ × 6.0^ field-of-view. ALICE employs an off-axis telescope feeding a 0.15-m normal incidence Rowland circle spectrograph with a toroidal concave holographic reflection grating. The microchannel plate detector utilizes dual solar-blind opaque photocathodes (KBr and CsI) and employs a two-dimensional delay-line readout array. The instrument is controlled by an internal microprocessor. During the prime Rosetta mission, ALICE will characterize comet 67P/Churyumov-Gerasimenko's coma, its nucleus, and nucleus/coma coupling; during cruise to the comet, ALICE will make observations of the mission's two asteroid flyby targets and of Mars, its moons, and of Earth's moon. ALICE has already successfully completed the in-flight commissioning phase and is operating well in flight. It has been characterized in flight with stellar flux calibrations, observations of the Moon during the first Earth fly-by, and observations of comet C/2002 T7 (LINEAR) in 2004 and comet 9P/Tempel 1 during the 2005 Deep Impact comet-collision observing campaign.     

Effect of Multi-wall System Composition on Survivability for Spacecraft Impacted by Orbital Debris

Long-duration spacecraft in low earth orbit such as the International Space Station (ISS) are highly susceptible to high-speed impacts by pieces of debris from past earth-orbiting missions. Among the hazards that accompany the penetration of a pressurized manned spacecraft are critical crack propagation in the module wall, crew hypoxia, and uncontrolled thrust due to air rushing out of the module wall hole. A Monte Carlo simulation tool was used to determine the effect of spacecraft wall construction on the survivability of ISS modules and crew following an orbital debris penetration. The simulation results indicate that enhanced shield wall designs (i.e., multi-wall systems with heavier inner bumpers) always lead to higher overall survivability of the station and crew due to an overwhelming decrease in likelihood of module penetration. The results of the simulations also indicate that changes in crew operations, equipment locations, and operation procedures can significantly reduce the likelihood of crew or station loss following an orbital debris penetration.     

Stability of motion of a space vehicle under constantly acting disturbances

The attitude stability of an Earth-orbiting satellite experiencing aerodynamic torque is studied. This is accomplished by applying the theory of total stability (or, stability under constantly acting disturbances) to the equations of motion. The satellite is gravity-gradient stabilized and a damping torque is incorporated. The aerodynamic torque results from the presence of two flat panels attached to the cylindrical body of the vehicle. This perturbing torque is treated as an additive disturbance in Euler's equations of motion. A Lyapunov function is constructed and then used in an appropriate theorem on stability under constantly acting disturbances. Explicit expressions are thereby found for bounds on a hypothetical initial condition (a rotation from the Earth-pointing equilibrium) and on the aerodynamic torque, so that if these disturbances are less than their respective bounds then the resulting attitude motion of the satellite will not exceed a pre-assigned value. These bounds depend on that pre-assigned value, and on the physical parameters of the satellite. The design implications of these bounds are then discussed.