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Academic literature on the topic 'Injection into geodesic motion'

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Published: 11 March 2023

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Journal articles on the topic "Injection into geodesic motion"

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Bortoluzzi, D., L. Baglivo, M. Benedetti, F. Biral, P. Bosetti, A. Cavalleri, M. Da Lio, et al. "LISA Pathfinder test mass injection in geodesic motion: status of the on-ground testing." Classical and Quantum Gravity 26, no. 9 (April 20, 2009): 094011. http://dx.doi.org/10.1088/0264-9381/26/9/094011.

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Bortoluzzi, D., M. Benedetti, L. Baglivo, M. De Cecco, and S. Vitale. "Measurement of momentum transfer due to adhesive forces: On-ground testing of in-space body injection into geodesic motion." Review of Scientific Instruments 82, no. 12 (December 2011): 125107. http://dx.doi.org/10.1063/1.3658479.

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Townsend, Paul K., and Mattias N. R. Wohlfarth. "Cosmology as geodesic motion." Classical and Quantum Gravity 21, no. 23 (November 10, 2004): 5375–96. http://dx.doi.org/10.1088/0264-9381/21/23/006.

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Recio-Mitter, David. "Geodesic complexity of motion planning." Journal of Applied and Computational Topology 5, no. 1 (January 12, 2021): 141–78. http://dx.doi.org/10.1007/s41468-020-00064-w.

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Mannheim, Philip D. "Dynamical mass and geodesic motion." General Relativity and Gravitation 25, no. 7 (July 1993): 697–715. http://dx.doi.org/10.1007/bf00756938.

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Jun, Wang, and Wang Yong-Jiu. "Geodesic Motion in Spinning Spaces." Communications in Theoretical Physics 46, no. 6 (December 2006): 995–1000. http://dx.doi.org/10.1088/0253-6102/46/6/008.

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Camci, Ugur. "Noether gauge symmetries of geodesic motion in stationary and nonstatic Gödel-type spacetimes." International Journal of Modern Physics: Conference Series 38 (January 2015): 1560072. http://dx.doi.org/10.1142/s2010194515600721.

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In this study, we obtain Noether gauge symmetries of geodesic motion for geodesic Lagrangian of stationary and nonstatic Gödel-type spacetimes, and find the first integrals of corresponding spacetimes to derive a complete characterization of the geodesic motion. Using the obtained expressions for [Formula: see text] of each spacetimes, we explicitly integrate the geodesic equations of motion for the corresponding stationary and nonstatic Gödel-type spacetimes.
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Heck, T., and M. Sorg. "Geodesic Motion in Trivializable Gauge Fields." Zeitschrift für Naturforschung A 46, no. 8 (August 1, 1991): 655–68. http://dx.doi.org/10.1515/zna-1991-0802.

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AbstractThe geodesic problem is studied for a Riemannian structure, which is generated by an SO(4) trivializable gauge field. The topological and elliptic geometric defects of such a structure act as attractors for the geodesic curves
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Ramos, A., C. Arias, R. Avalos, and E. Contreras. "Geodesic motion around hairy black holes." Annals of Physics 431 (August 2021): 168557. http://dx.doi.org/10.1016/j.aop.2021.168557.

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Gupta, Kumar S., and Siddhartha Sen. "Black hole decay as geodesic motion." Physics Letters B 574, no. 1-2 (November 2003): 93–97. http://dx.doi.org/10.1016/j.physletb.2003.09.024.

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Dissertations / Theses on the topic "Injection into geodesic motion"

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Vignotto, Davide. "Analysis of the in-Flight Performance of a Critical Space Mechanism." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/323575.

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Gravitational waves detection is a challenging scientific objective, faced by scientist in the last 100 years, when Einstein theorized their existence. Despite multiple attempts, it was only in 2016 that the first observation of a gravitational wave was officially announced. The observation, worth a Nobel Prize, was made possible thanks to a worldwide collaboration of three large ground-based detectors. When detecting gravitational waves from ground, the noisy environment limits the frequency bandwidth of the measurement. Thus, the type of cosmic events that are observable is also limited. For this reason, scientists are developing the first gravitational waves detector based in space, which is a much quieter environment, especially in the sub-Hertz bandwidth. The space-based detector is named laser interferometer space antenna (LISA) and its launch is planned for 2034. Due to the extreme complexity of the mission, involving several new technologies, a demonstrator of LISA was launched and operated between 2015 and 2017. The demonstrator mission, called LISA Pathfinder (LPF), had the objective to show the feasibility of the gravitational waves observation directly from space, by characterizing the noise affecting the relative acceleration of two free falling bodies in the milli-Hertz bandwidth. The mission was a success, proving the expected noise level is well below the minimum requirement. The free-falling bodies of LPF, called test masses (TMs), were hosted inside dedicated electrode housings (EH), located approximately 30 cm apart inside the spacecraft. When free falling, each TM stays approximately in the center of the EH, thus having milli-meter wide gaps within the housing walls. Due to the presence of such large gaps, the TMs were mechanically constrained by dedicated mechanisms (named CVM and GPRM) in order to avoid damaging the payload during the launch phase and were released into free fall once the spacecraft was in orbit. Prior to the start of the science phase, the injection procedure of the TMs into free-fall was started. Such a procedure brought each TM from being mechanically constrained to a state where it was electro-statically controlled in the center of the EH. Surprisingly, the mechanical separation of the release mechanism from the TM caused unexpected residual velocities, which were not controllable by the electrostatic control force responsible for capturing the TM once released. Therefore, both the TMs collided with either the surrounding housing walls or the release mechanism end effectors. It was possible to start the science phase by manually controlling the release mechanism adopting non-nominal injection strategies, which should not be applicable in LISA, due to the larger time lag. So, since any release mechanism malfunctioning may preclude the initialization of LISA science phase, the GPRM was extensively tested at the end of LPF, by means of a dedicated campaign of releases, involving several modifications to the nominal injection procedure. The data of the extended campaign are analyzed in this work and the main conclusion is that no optimal automated release strategy is found for the GPRM flight model as-built configuration that works reliably for both the TMs producing a nominal injection procedure. The analysis of the in-flight data is difficult since the gravitational referencesensor of LPF is not designed for such type of analysis. In particular, the low sampling frequency (i.e., 10 Hz) constitutes a limiting factor when detecting instantaneous events such as collisions of the TM. Despite the difficulties of extracting useful information on the TM residual velocity from the in-flight data, it is found that the main cause of the uncontrollable state of the released TM is the collision of the TM with the plunger, i.e., one of the end-effectors of the GPRM. It is shown that the impact is caused by the oscillation of the plunger or by the elastic relaxation of the initial preload force that holds the TM. At the end of the analysis, some improvements to the design of the release mechanism are brie y discussed, aimed at maximizing the probability of performing a successful injection procedure for the six TMs that will be used as sensing bodies in the LISA experiment.
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Sebastianutti, Marco. "Geodesic motion and Raychaudhuri equations." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18755/.

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The work presented in this thesis is devoted to the study of geodesic motion in the context of General Relativity. The motion of a single test particle is governed by the geodesic equations of the given space-time, nevertheless one can be interested in the collective behavior of a family (congruence) of test particles, whose dynamics is controlled by the Raychaudhuri equations. In this thesis, both the aspects have been considered, with great interest in the latter issue. Geometric quantities appear in these evolution equations, therefore, it goes without saying that the features of a given space-time must necessarily arise. In this way, through the study of these quantities, one is able to analyze the given space-time. In the first part of this dissertation, we study the relation between geodesic motion and gravity. In fact, the geodesic equations are a useful tool for detecting a gravitational field. While, in the second part, after the derivation of Raychaudhuri equations, we focus on their applications to cosmology. Using these equations, as we mentioned above, one can show how geometric quantities linked to the given space-time, like expansion, shear and twist parameters govern the focusing or de-focusing of geodesic congruences. Physical requirements on matter stress-energy (i.e., positivity of energy density in any frame of reference), lead to the various energy conditions, which must hold, at least in a classical context. Therefore, under these suitable conditions, the focusing of a geodesics "bundle", in the FLRW metric, bring us to the idea of an initial (big bang) singularity in the model of a homogeneous isotropic universe. The geodesic focusing theorem derived from both, the Raychaudhuri equations and the energy conditions acts as an important tool in understanding the Hawking-Penrose singularity theorems.
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Zanoni, Carlo. "Drag-free Spacecraft Technologies: criticalities in the initialization of geodesic motion." Doctoral thesis, Università degli studi di Trento, 2015. https://hdl.handle.net/11572/369090.

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Present and future space missions rely on systems of increasingly demanding performance for being successful. Drag-free technology is one of the technologies that is fundamental for LISA-Pathfinder, a European Space Agency mission whose launch is planned for the end of September 2015. A purely drag-free object is defined by the absence of all external forces other than gravity. This is not a natural condition and therefore a shield has to be used in order to eliminate the effect of undesired interactions. In space, this is achieved by properly designing the spacecraft that surrounds the object, usually called test mass (TM). Once the TM is subjected to gravity alone its motion is used as a reference for the spacecraft orbit. The satellite orbit is controlled by measuring the relative TM-to-spacecraft position and feeding back the command to the propulsion system that counteracts any non gravitational force acting on the spacecraft. Ideally, the TM should be free from all forces and the hosting spacecraft should follow a pure geodesic orbit. However, the purity of the orbit depends on the spacecraft’s capability of protecting the TM from disturbances, which indeed has limitations. According to a NASA study, such a concept is capable of decreasing operation and fuel costs, increasing navigation accuracy. At the same time, a drag-free motion is required in many missions of fundamental physics. eLISA is an ESA concept mission aimed at opening a new window to the universe, black holes, and massive binary systems by means of gravitational waves. This mission will be extremely challenging and needs to be demonstrated in flight. LISA-Pathfinder is in charge of proving this concept by demonstrating the possibility of reducing the non-gravitational disturbance below a certain demanding threshold. The success of this mission relies on recent technologies in the field of propulsion, interferometry, and space mechanisms. In this frame, the system holding the TM during launch and releasing it in free-fall before the science phase represents a single point of failure for the whole mission. This thesis describes the phenomena, operations, issues, tests, activities, and simulations linked to the release following a system engineering approach. Great emphasis is given to the adhesion (or cold welding) that interferes with the release. Experimental studies have been carried out to investigate this phenomenon in conditions representative of the LISA-Pathfinder flight environment. The last part of the thesis is dedicated to the preliminary design of the housing of the TM in the frame for a low-cost mission conceived at Stanford (USA). Analysis and results are through out presented and discussed. The goal of this thesis is a summary of the activities aimed at a successful LISA-Pathfinder mission. The ambition is to increase the maturity of the technology needed in drag-free projects and therefore provide a starting point for future fascinating and challenging missions of this kind.
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Del, Bonifro Francesca. "Geodesics motion in fuzzy black hole space-times." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13512/.

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Classical General Relativity predicts the existence of space-times with non-trivial casual structures known as Black Holes. A classical black hole could form by the gravitational collapse of a compact object, which should end into a singularity covered by a (sharply defined) horizon, with a size equal to the gravitational radius of the matter source. In a quantum theory, the matter source is described by a quantum state, and one can correspondingly describe its gravitational radius by means of a Horizon Wave-Function. The resulting space-time is therefore expected to be "fuzzy", and so will be the geodesic motion of test particles. Orbits of massive particles as well as trajectories of light rays around such fuzzy gravitational sources are here analysed in details using both analytical approximations and numerical calculations. The uncertainty in the time of radial free fall and the effects on the out-going radiation emitted by the collapsing matter will also be presented.
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Howarth, Laura. "The existence and structure of constants of geodesic motion admitted by spherically symmetric static space-times." Thesis, University of Hull, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.310318.

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Whyte, Jonathan Robert. "Controlling ferroelectric domain wall injection and motion in mesoscale co-planar capacitor structures." Thesis, Queen's University Belfast, 2015. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.676501.

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Observations of enhanced conductivity in ferroelectric domain walls have led to many new electronic applications being envisioned, such as domain wall memistors. A crucial prerequisite to realising such devices is the control over the nucleation and position of the domain walls. This thesis presents different methods of exerting this control in mesoscale ferroelectric capacitors. Investigations 'Were carried out using thin single-crystal slices of the uniaxial ferroelectric KTiOP04 (KTP), embedded into a co-planar capacitor structure. Piezoresponse Force Microscopy (PFM) showed the domain nucleation positions in these capacitors were unpredictable. As ferroelectric domains switch polarisation with an applied electric field, inhomogeneous electric field distributions were created by design in KTP lamellae using Focused Ion Beam (FIB) milled holes and patterned electrode geometries. This inhomogeneity produced localised regions of enhanced field (hot-spots) and diminished field (cold-spots). Investigations showed that when a switching field was applied to these samples, nucleation initialised at the hot-spot locations, injecting domain wall pairs. This meant that the ferroelectric could be engineered to allow site-specific injection of domain walls. These results were extended by creating different magnitudes of hot-spots, allowing the sequential injection of domain walls, to provide multiple domain states required for a domain wall memristor. Further investigation showed that hot-spots Increased domain wall mobility whereas cold-spots could pin domain walls. This effect was utilised to create asymmetric domain wall mobilities and periodic pinning sites, prerequisites for domain wall ratchet devices. Finally, investigations using variations in the ferroelectric thickness were carried out. Switching occurred in smaller thicknesses first, with positive thickness gradients yielding decreased domain wall mobility. A ferroelectric with a ramped topography, then allowed the makings of the first ferroelectric domain wall diode.
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Tawfig, Mohammed Elmustafa. "An investigation of air motion and heat transfer in a motored indirect injection diesel engine." Thesis, University of Bath, 1991. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.280348.

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Geyer, Marisa. "Geodesics and resonances of the Manko-Novikov spacetime." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80306.

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Thesis (MSc)--Stellenbosch University, 2013.
ENGLISH ABSTRACT: In this thesis I study compact objects described by the Manko-Novikov spacetime. The Manko- Novikov spacetime is an exact solution to the Einstein Field Equations that allows objects to be black hole-like, but with a multipole structure di erent from Kerr black holes. The aim of the research is to investigate whether we will observationally be able to tell these bumpy black holes, if they exist, apart from traditional Kerr black holes. I explore the geodesic motion of a test probe in the Manko-Novikov spacetime. I quantify the motion using Poincar e maps and rotation curves. The Manko-Novikov spacetime admits regions with regular motion as well as regions with chaotic motion. The occurrence of chaos is correlated with orbits for which the characteristic frequencies are resonant. The new result presented in this thesis is a global characterisation of where resonances and thus chaos are likely to occur for all orbits. These calculations are performed in the Kerr spacetime, from which I obtain that low order resonances occur within 20 Schwarzschild radii (or 40M) of the compact object with mass M. By the KAM theorem, the occurrence of chaos is therefore limited to this region for all small perturbations from Kerr. These resonant events will be measurable in the Galactic Centre using eLISA. This con nement of low order resonances indicates that the frequency values of orbits of radii well outside of 20 Schwarzschild radii can be approximated using canonical perturbation theory.
AFRIKAANSE OPSOMMING: In hierdie tesis word kompakte voorwerpe bestudeer soos omskryf deur die Manko-Novikov ruimtetyd. Die Manko-Novikov ruimtetyd is 'n eksakte oplossing van die Einstein Veldvergelykings. Die Manko-Novikov ruimtetyd formuleer gravitasiekolk-tipe voorwerpe waarvan die veelpool-struktuur afwyk van die tradisionele Kerr gravitasiekolk-struktuur. Die oogmerk van die navorsing is om vas te stel of ons met behulp van waarnemings hierdie bonkige gravitasiekolke van die tradisionele Kerr gravitasiekolke kan onderskei. Ek ondersoek die geodetiese beweging van 'n toetsmassa in die Manko-Novikov ruimtetyd. Die beweging word gekwanti seer met behulp van Poincar e afbeeldings en rotasiekrommes. In die Manko-Novikov ruimtetyd identi seer ek gebiede waarbinne re elmatige beweging voorkom asook gebiede waarbinne chaotiese bane voorkom. Die ontstaan van chaos word geassosieer met bane waarvan die fundamentele frekwensies resonant is. 'n Nuwe resultaat wat in hierdie tesis voorgehou word behels 'n globale karakterisering wat aandui waar resonansies en dus chaos na alle waarskynlikheid voorkom. Laasgenoemde berekeninge word vir die Kerr ruimtetyd uitgevoer. Hierdeur toon ek alle lae orde resonansies kom voor binne 20 Schwarzschild radii (of 40M) vanaf die kompakte voorwerp met mass M. Die KAM Stelling bepaal dan dat vir alle klein steurings toegepas op die Kerr ruimtetyd die voorkoms van chaos beperk sal wees tot bogenoemde gebied. Die resonansies binne hierdie gebied sal deur eLISA in die sentrum van die melkwegstelsel gemeet kan word. Hierdie beperking van lae orde resonansies tot 'n sekere afstand vanaf die kompakte voorwerp verseker dat die frekwensies van bane wat buite hierdie gebied val, akkuraat deur kanoniese steuringsteorie bepaal kan word.
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Shao, Wei. "Improving functional avoidance radiation therapy by image registration." Diss., University of Iowa, 2019. https://ir.uiowa.edu/etd/7031.

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Radiation therapy (RT) is commonly used to treat patients with lung cancer. One of the limitations of RT is that irradiation of the surrounding healthy lung tissues during RT may cause damage to the lungs. Radiation-induced pulmonary toxicity may be mitigated by minimizing doses to high-function lung tissues, which we refer to as functional avoidance RT. Lung function can be computed by image registration of treatment planning four-dimensional computed tomography (4DCT), which we refer to as CT ventilation imaging. However, the accuracy of functional avoidance RT is limited by lung function imaging accuracy and artifacts in 4DCT. The goal of this dissertation is to improve the accuracy of functional avoidance RT by overcoming those two limitations. A common method for estimating lung ventilation uses image registration to align the peak exhale and inhale 3DCT images. This approach called the 2-phase local expansion ratio is limited because it assumes no out-of-phase lung ventilation and may underestimate local lung ventilation. Out-of-phase ventilation occurs when regions of the lung reach their maximum (minimum) local volume in a phase other than the peak of inhalation (end of exhalation). This dissertation presents a new method called the N-phase local expansion ratio for detecting and characterizing locations of the lung that experience out-of-phase ventilation. The N-phase LER measure uses all 4DCT phases instead of two peak phases to estimate lung ventilation. Results show that out-of-phase breathing was common in the lungs and that the spatial distribution of out-of-phase ventilation varied from subject to subject. On average, 49% of the out-of-phase regions were mislabeled as low-function by the 2-phase LER. 4DCT and Xenon-enhanced CT (Xe-CT) of four sheep were used to evaluate the accuracy of 2-phase LER and N-phase LER. Results show that the N-phase LER measure was more correlated with the Xe-CT than the 2-phase LER measure. These results suggest that it may be better to use all 4DCT phases instead of the two peak phases to estimate lung function. The accuracy of functional avoidance RT may also be improved by reducing the impact of artifacts in 4DCT. In this dissertation, we propose a a geodesic density regression (GDR) algorithm to correct artifacts in one breathing phase by using artifact-free data in corresponding regions of the other breathing phases. Local tissue density change associated with CT intensity change during respiration is accommodated in the GDR algorithm. Binary artifact masks are used to exclude regions of artifacts from the regression, i.e., the GDR algorithm only uses artifact-free data. The GDR algorithm estimates an artifact-free CT template image and its time flow through a respiratory cycle. Evaluation of the GDR algorithm was performed using both 2D CT time-series images with simulated known motion artifacts and treatment planning 4DCT with real motion artifacts. The 2D results show that there is no significant difference (p-value = 0.95) between GDR regression of artifact data using artifact masks and regression of artifact-free data. In contrast, significant errors (p-value = 0.005) were present in the estimated Jacobian images when artifact masks were not used. We also demonstrated the effectiveness of the GDR algorithm for removing real duplication, misalignment, and interpolation artifacts in 4DCT. Overall this dissertation proposes methods that have the potential to improve functional avoidance RT by accommodating out-of-phase ventilation, and removing motion artifacts in 4DCT using geodesic image regression.
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Alsup, Jeremy S. "Mimicking the Mechanical Behavior of Advancing Disc Degeneration Through Needle Injections." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3569.

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Objective - To investigate the effects of injected protease solution on the mechanical advancement of disc degeneration, and to establish test protocol for future pre-clinical validation of spinal arthroplasty devices. The hypothesis that injection of a protease into a cadaveric lumbar disc will mimic advanced degeneration mechanics was the subject of this study. Summary of Background Information - Spinal disc degeneration is a universal condition that progresses in adults due to aging, disease, or injury. Stages of disc degeneration have been categorized in cadaver specimens, with each degeneration level exhibiting characteristic changes in flexibility parameters. Spinal disc tissue can be compromised through introduction of proteolytic enzymes into the collagenous fibers of the annulus fibrosus. Methods - 18 motion segments from 8 human lumbar spines were subjected to flexibility testing. Each specimen was either injected with 0.600 mL of trypsin solution in the annulus fibrosus, 0.600 mL of phosphate-buffed saline, or a fluid-less needle-stick. Motion testing followed with rotations applied in all three major spinal motions. Test sections were transected mid-disc after testing to characterize initial degeneration severity, and acquired motion data was analyzed to show flexibility traits over time. Results - Trypsin, saline, and control injections all caused changes in motion from pre-injection baselines. Saline injections were slightly more effective at mimicking the mechanics of higher grades of degeneration with more fidelity than trypsin injections. All motion parameters were altered by the study treatments, with hysteresis and neutral zone parameters experiencing changes similar to that seen in natural degeneration with greater fidelity. Lateral Bending motion showed the greatest magnitude response to injections, with Flexion-Extension tests showing the smallest change. Discussion - Unexpectedly, fluid-less control injections caused changes to hysteresis and neutral zone parameters, suggesting an alteration to viscoelastic properties due to simple needle puncture. Fluid injections (Trypsin and Saline) caused an immediate transient post-injection change to biomechanics that dissipated over time, except in Axial Rotation. Saline injections provided the highest fidelity in mimicking the motion of more advanced stages of degeneration.
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Books on the topic "Injection into geodesic motion"

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Soltesz, Steven M. The effect of crack motion during epoxy crack injection and curing: Final report. Salem, OR: Oregon Dept. of Transportation, Research Unit, 2005.

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John, D. St. Effect of jet injection angle and number of jets on mixing and emissions from a reacting crossflow at atmospheric pressure. [Washington, D.C.]: National Aeronautics and Space Administration STI Preogram Office, 2000.

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S, Samuelsen G., and NASA Glenn Research Center, eds. Effect of jet injection angle and number of jets on mixing and emissions from a reacting crossflow at atmospheric pressure. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 2000.

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Petkov, Vesselin. Inertia and Gravitation: From Aristotle's Natural Motion to Geodesic Worldlines in Curved Spacetime. Minkowski Institute Press, 2012.

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Research of radiation pressure and Poynting–Robertson effect influence on geodesic artificial satellites and space debris motion. Space Robotics Corporation Limited, 2013.

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Research of radiation pressure and Poynting–Robertson effect influence on geodesic artificial satellites and space debris motion. Space Robotics Corporation Limited, 2013.

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Brierton, Tom. Stop-Motion Puppet Sculpting: A Manual of Foam Injection, Build-Up and Finishing Techniques. McFarland & Company, 2004.

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Kimura, T., and Y. Otani. Magnetization switching due to nonlocal spin injection. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198787075.003.0021.

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This chapter discusses and presents a schematic illustration of nonlocal spin injection. In this case, the spin-polarized electrons are injected from the ferromagnet and are extracted from the left-hand side of the nonmagnet. This results in the accumulation of nonequilibrium spins in the vicinity of the F/N junctions. Since the electrochemical potential on the left-hand side is lower than that underneath the F/N junction, the electron flows by the electric field. On the right-hand side, although there is no electric field, the diffusion process from the nonequilibrium into the equilibrium state induces the motion of the electrons. Since the excess up-spin electrons exist underneath the F/N junction, the up-spin electrons diffuse into the right-hand side. On the other hand, the deficiency of the down-spin electrons induces the incoming flow of the down-spin electrons opposite to the motion of the up-spin electron.
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Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0045.

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This chapter studies how the ‘spacetime symmetries’ can generate first integrals of the equations of motion which simplify their solution and also make it possible to define conserved quantities, or ‘charges’, characterizing the system. As already mentioned in the introduction to matter energy–momentum tensors in Chapter 3, the concepts of energy, momentum, and angular momentum are related to the invariance properties of the solutions of the equations of motion under spacetime translations or rotations. The chapter explores these in greater detail. It first turns to isometries and Killing vectors. The chapter then examines the first integrals of the geodesic equation, and Noether charges.
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Deruelle, Nathalie, and Jean-Philippe Uzan. The two-body problem: an effective-one-body approach. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0056.

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This chapter presents the basics of the ‘effective-one-body’ approach to the two-body problem in general relativity. It also shows that the 2PN equations of motion can be mapped. This can be done by means of an appropriate canonical transformation, to a geodesic motion in a static, spherically symmetric spacetime, thus considerably simplifying the dynamics. Then, including the 2.5PN radiation reaction force in the (resummed) equations of motion, this chapter provides the waveform during the inspiral, merger, and ringdown phases of the coalescence of two non-spinning black holes into a final Kerr black hole. The chapter also comments on the current developments of this approach, which is instrumental in building the libraries of waveform templates that are needed to analyze the data collected by the current gravitational wave detectors.
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Book chapters on the topic "Injection into geodesic motion"

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Ferrari, Valeria, Leonardo Gualtieri, and Paolo Pani. "Geodesic motion in Schwarzschild’s spacetime." In General Relativity and its Applications, 181–96. Boca Raton: CRC Press, 2020.: CRC Press, 2020. http://dx.doi.org/10.1201/9780429491405-10.

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Ferrari, Valeria, Leonardo Gualtieri, and Paolo Pani. "Geodesic motion in Kerr’s spacetime." In General Relativity and its Applications, 421–46. Boca Raton: CRC Press, 2020.: CRC Press, 2020. http://dx.doi.org/10.1201/9780429491405-19.

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Barack, Leor. "Gravitational Self-Force: Orbital Mechanics Beyond Geodesic Motion." In General Relativity, Cosmology and Astrophysics, 147–68. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06349-2_6.

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Havoutis, Ioannis, and Subramanian Ramamoorthy. "Motion Generation with Geodesic Paths on Learnt Skill Manifolds." In Cognitive Systems Monographs, 43–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36368-9_4.

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Donnay, Victor J. "Chaotic Geodesic Motion: An Extension of M.C. Escher’s Circle Limit Designs." In M.C. Escher’s Legacy, 318–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-28849-x_31.

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Kovshov, A. M. "Geodesic Parallel Pursuit Strategy in a Simple Motion Pursuit Game on the Sphere." In Advances in Dynamic Games and Applications, 97–113. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1336-9_5.

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Pinsky, Mark A. "Mean exit times and hitting probabilities of Brownian motion in geodesic balls and tubular neighborhoods." In Stochastic Processes — Mathematics and Physics, 216–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0080220.

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Fritsch, Sebastian, Sven Fasse, Qirui Yang, Michael Grill, and Michael Bargende. "A Quasi-Dimensional Charge Motion and Turbulence Model for Spark Injection Engines with Fully Variable Valve Train and Direct Fuel Injection." In Proceedings, 24–39. Wiesbaden: Springer Fachmedien Wiesbaden, 2020. http://dx.doi.org/10.1007/978-3-658-28709-2_3.

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Zhang, Hang-wei, Chan-juan Chen, and Ji-xian Dong. "Development of GE Series Motion Controller Utilized in Full Electric Plastic Injection Molding Machine." In Communications in Computer and Information Science, 384–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23220-6_49.

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Cheng, Zhongfu, and Miaoyong Zhu. "Motion Characteristics of a Powder Particle through the Injection Device with Slats at Finite Reynolds Number." In Materials Processing Fundamentals, 291–303. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118662199.ch33.

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Conference papers on the topic "Injection into geodesic motion"

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Hackmann, E., and C. Lämmerzahl. "Analytical solution methods for geodesic motion." In RECENT DEVELOPMENTS ON PHYSICS IN STRONG GRAVITATIONAL FIELDS: V Leopoldo García-Colín Mexican Meeting on Mathematical and Experimental Physics. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4861945.

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Beik-Mohammadi, Hadi, Søren Hauberg, Georgios Arvanitidis, Gerhard Neumann, and Leonel Rozo. "Learning Riemannian Manifolds for Geodesic Motion Skills." In Robotics: Science and Systems 2021. Robotics: Science and Systems Foundation, 2021. http://dx.doi.org/10.15607/rss.2021.xvii.082.

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Saa, Alberto. "Non-Minimally Coupled Cosmology as Geodesic Motion." In Fifth International Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0039.

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IGATA, TAKAHISA, HIDEKI ISHIHARA, and YOHSUKE TAKAMORI. "CHAOS IN GEODESIC MOTION AROUND A BLACK RING." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0166.

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Paragios, N., and R. Deriche. "Geodesic active regions for motion estimation and tracking." In Proceedings of the Seventh IEEE International Conference on Computer Vision. IEEE, 1999. http://dx.doi.org/10.1109/iccv.1999.791292.

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Oliver, M., L. Raad, C. Ballester, and G. Haro. "Motion Inpainting by an Image-Based Geodesic AMLE Method." In 2018 25th IEEE International Conference on Image Processing (ICIP). IEEE, 2018. http://dx.doi.org/10.1109/icip.2018.8451851.

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Gang Xu and Lei Shi. "Using Geodesic Active Contours for motion-blurred images contour detection." In 2008 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2008. http://dx.doi.org/10.1109/icmlc.2008.4620929.

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Ring, Dan, and François Pitie. "Feature-Assisted Sparse to Dense Motion Estimation Using Geodesic Distances." In 2009 13th International Machine Vision and Image Processing Conference. IEEE, 2009. http://dx.doi.org/10.1109/imvip.2009.9.

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Arvanitakis, Ioannis, Anthony Tzes, and Michalis Thanou. "Geodesic motion planning on 3D-terrains satisfying the robot's kinodynamic constraints." In IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society. IEEE, 2013. http://dx.doi.org/10.1109/iecon.2013.6699800.

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Renaux-Petel, Sébastien. "Inflation with strongly non-geodesic motion: theoretical motivations and observational imprints." In The European Physical Society Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.398.0128.

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Reports on the topic "Injection into geodesic motion"

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Gardner C. J. NOTES ON COUPLED MOTION IN A LINEAR PERIODIC LATTICE and APPLICATIONS TO BOOSTER INJECTION. Office of Scientific and Technical Information (OSTI), February 1996. http://dx.doi.org/10.2172/1151334.

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Rhim, Hye Chang, Jason Schon, Sean Scholwalter, Connie Hsu, Michael Andrew, Sarah Oh, and Daniel Daneshvar. Anterior versus posterior steroid injection approach for adhesive capsulitis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, January 2023. http://dx.doi.org/10.37766/inplasy2023.1.0080.

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Abstract:
Review question / Objective: Which steroid injection approach is more effective, anterior or posterior, for adhesive capsulitis? The purpose of this review will be to compare the efficacy of anterior versus posterior steroid injection approach in adhesive capsulitis. Condition being studied: Adhesive capsulitis, or frozen shoulder, is a painful restriction of the glenohumeral joint, thought to be caused by inflammation of the synovial lining capsule and contracture of the glenohumeral joint. It is characterized by progressive shoulder pain with gradual loss of both passive and active range of motion. It is one of the most common musculoskeletal disorders treated by orthopedic surgeons with a prevalence of 25% in the general population, and risk factors include trauma, diabetes, stroke, and prolonged immobilization.
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