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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

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Initial value and two point boundary value solutions to the Clohessy-Wiltshire equations

The nonhomogeneous Clohessy-Wiltshire (C-W) equations are formulated and solved as an initial value problem in the form structure of linear systems theory. The state transition matrix (STM) and its inverse are obtained explicitly in both Newtonian and Hamiltonian form. It is shown that the STM for the C-2 equations possesses a special property making its inverse easily obtainable. Since solutions to the C-W equations are needed in two-point boundary value form to construct a good mission design tool for orbit transfer, the Lambert problem is solved in the context of the C-W equations.

Mullins, Larry D.↗

Development of Formation Deployment and Intialization Concepts

NASA's Cross-Cutting Technology Development Program identified formation flying as a key enabler for the next generation Earth and Sciences campaign. It is hoped that this technology will allow a distributed network of autonomous satellites to act collaboratively as a single collective unit paving the way for extensive co-observing campaigns, coordinated multi-point observing programs, improved space-based interferometry, and entirely new approaches to conducting science. APL as a team member with GSFC, funded by the Earth Sciences and Technology Organization (ESTO), investigated formation deployment and initialization concepts which is central to the formation flying concept. This paper presents the analytical approach and preliminary results of the study. The study investigated a simple mission involving the deployment of six micro-satellites, one at a time, from a bus. At the initialization state, the satellites fly in an along-track trajectory separated by nominal spacing. The study entailed the development of a two-body (bus and satellite) relative motion propagator based on Clohessy-Wiltshire (C-W) equations with drag from which the relative motion of the micro-satellites is deduced. This code was used to investigate cluster development characteristics subject to "tip-off' (ejection) conditions. Results indicate that cluster development is very sensitive to the ballistic coefficients of the bus and satellites, and to relative ejection velocity. This information can be used to identify optimum deployment parameters, along with accuracy bounds for a particular mission, and to develop a cluster control strategy minimizing global fuel and cost. A suitable control strategy concept has been identified, however, it needs to be developed further.

Badesha, Surjit S.↗

Time-Varying Expression of the Formation Flying along Circular Trajectories

Usually, the formation flying associated with circular orbits is discussed through the well-known Hill s or C-W equations of motion. This paper dares to present and discuss the coordinates that may contain time-varying coefficients. The discussion presents how the controller s performance is affected by the selection of coordinates, and also looks at the special coordinate suitable for designating a target bin to which each spacecraft in the formation has only to be guided. It is revealed that the latter strategy may incorporate the J2 disturbance automatically.

Kawaguchi, Jun'ichiro↗

Materials Data on WC by Materials Project

WC1 is Halite, Rock Salt structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. W4+ is bonded to six equivalent C4- atoms to form a mixture of edge and corner-sharing WC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All W–C bond lengths are 2.19 Å. C4- is bonded to six equivalent W4+ atoms to form a mixture of edge and corner-sharing CW6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on WC by Materials Project

WC1 is Tungsten Carbide structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. W4+ is bonded to six equivalent C4- atoms to form a mixture of distorted corner, edge, and face-sharing WC6 pentagonal pyramids. All W–C bond lengths are 2.21 Å. C4- is bonded to six equivalent W4+ atoms to form a mixture of distorted corner, edge, and face-sharing CW6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on W2C by Materials Project

W2C is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. W2+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. There are two shorter (2.12 Å) and one longer (2.14 Å) W–C bond lengths. C4- is bonded to six equivalent W2+ atoms to form a mixture of edge and corner-sharing CW6 octahedra. The corner-sharing octahedral tilt angles are 49°.

36 MATERIALS SCIENCE↗

Materials Data on W2C by Materials Project

W2C is beta Vanadium nitride structured and crystallizes in the trigonal P-31m space group. The structure is three-dimensional. W2+ is bonded in a distorted T-shaped geometry to three C4- atoms. There are one shorter (2.11 Å) and two longer (2.13 Å) W–C bond lengths. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded to six equivalent W2+ atoms to form corner-sharing CW6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second C4- site, C4- is bonded to six equivalent W2+ atoms to form a mixture of corner and edge-sharing CW6 octahedra. The corner-sharing octahedral tilt angles are 49°.

36 MATERIALS SCIENCE↗

Materials Data on W3C by Materials Project

CW3 is Uranium Silicide-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent W sites. In the first W site, W is bonded to eight W and four equivalent C atoms to form distorted WW8C4 cuboctahedra that share corners with twelve equivalent WW8C4 cuboctahedra, edges with eight equivalent WW8C4 cuboctahedra, edges with eight equivalent CW12 cuboctahedra, faces with four equivalent CW12 cuboctahedra, and faces with ten equivalent WW8C4 cuboctahedra. There are four shorter (2.50 Å) and four longer (2.87 Å) W–W bond lengths. All W–C bond lengths are 2.87 Å. In the second W site, W is bonded in a square co-planar geometry to eight equivalent W and four equivalent C atoms. All W–C bond lengths are 2.50 Å. C is bonded to twelve W atoms to form distorted CW12 cuboctahedra that share corners with four equivalent CW12 cuboctahedra, edges with eight equivalent CW12 cuboctahedra, edges with sixteen equivalent WW8C4 cuboctahedra, faces with four equivalent CW12 cuboctahedra, and faces with eight equivalent WW8C4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on W2C by Materials Project

W2C is trigonal omega structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one W2C sheet oriented in the (0, 0, 1) direction. W2+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All W–C bond lengths are 2.13 Å. C4- is bonded to six equivalent W2+ atoms to form edge-sharing CW6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on WC by Materials Project

WC1 is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. W4+ is bonded in a body-centered cubic geometry to eight equivalent C4- atoms. All W–C bond lengths are 2.37 Å. C4- is bonded in a body-centered cubic geometry to eight equivalent W4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on WC by Materials Project

WC1 is Zincblende, Sphalerite structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. W4+ is bonded to four equivalent C4- atoms to form corner-sharing WC4 tetrahedra. All W–C bond lengths are 2.04 Å. C4- is bonded to four equivalent W4+ atoms to form corner-sharing CW4 tetrahedra.

36 MATERIALS SCIENCE↗

Chronic Lunar Dust Exposure on Rat Cornea: Evaluation by Gene Expression Profiling

Lunar dust is capable of entering habitats and vehicle compartments by sticking to spacesuits or other objects that are transferred into the spacecraft from the lunar surface and has been reported to cause irritation upon exposure. During the Apollo missions, crewmembers reported irritation specifically to the skin and eyes after contamination of the lunar and service modules. It has since been hypothesized that ocular irritation and abrasion might occur as a result of such exposure, impairing crew vision. Recent work has shown that both ultrafine and unground lunar dust exhibited minimal irritancy of the ocular surface (i.e., cornea); however, the assessment of the severity of ocular damage resulting from contact of lunar dust particles to the cornea has focused only on macroscopic signs of mechanical irritancy and cytotoxicity. Given the chemical reactive properties of lunar dust, exposure of the cornea may contribute to detrimental effects at the molecular level including but not limited to oxidative damage. Additionally, low level chronic exposures may confound any results obtained in previous acute studies. We report here preliminary results from a tissue sharing effort using 10‐week‐old Fischer 344 male rats chronically exposed to filtered air or jet milled lunar dust collected during Apollo 14 using a Jaeger‐NYU nose‐only chamber for a total of 120 hours (6 hours daily, 5 days a week) over a 4‐week period. RNA was isolated from corneas collected from rats at 1 day and 7 days after being exposed to concentrations of 0, 20, and 60 mg/m3 of lunar dust. Microarray analysis was performed using the Affymetrix GeneChip Rat Genome 230 2.0 Array with Affymetrix Expression Console and Transcriptome Analysis Console used for normalization and secondary analysis. An Ingenuity iReport"TM" was then generated for canonical pathway identification. The number of differentially expressed genes identified increases with dose compared to controls suggesting a more severe response to the lunar dust insult at higher levels. Pathways of interests that have been identified in all exposed samples include oxidative stress response, mitochondrial dysfunction, fibrosis, epithelial healing, TGF-Beta signaling, and extracellular matrix remodeling. Several biological processes related to cell migration, cellular proliferation, and eye development were also identified to be altered by exposure to lunar dust. Our preliminary results suggest that even a chronic insult of lunar dust as low as 20 mg/m(exp 3) elicits a molecular response in cornea tissue. Lunar dust on the surface of the moon would have the added properties of ionization and activation potentially leading to further damage to the cornea and greater sensitivity to any other environmental insult such as exposure to radiation. Additional studies are required to fully assess the risk of vision impairment and the mechanistic responses initiated in cornea exposed to lunar dust as well as the potential for long‐term effects to astronaut health

Theriot, C. A.↗

Quantification of Numerical Uncertainty via Nonlinear Dynamical Approach

Motivations (Ensure a Higher Level of Confidence in the Predictability & Reliability of Numerical Simulation for Multiscale Complex Nonlinear Fluid Problems) - The last two decades have been an era when computation is ahead of analysis & when very large scale practical computations are increasingly used in poorly understood multiscale complex nonlinear physical problems & non-traditional fields (Especially when computations offer the ONLY way of generating this type of data limited simulations). - At present some of the numerical uncertainties can be explained and minimized by traditional numerical analysis and standard CFD practices. However, such practices, usually based on linearized analysis, MIGHT NOT be sufficient for strongly nonlinear and/or stiff problems. - We need a good understanding of the nonlinear behavior of numerical schemes being used as an integral part of code verification, validation and certification.

HEC↗