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1

Gonzalez, Tyler A., Lauren K. Ehrlichman, Alec Macaulay, Mohammad Ghorbanhoseini, and John Kwon. "Gravity Reduction View." Foot & Ankle Orthopaedics 1, no. 1 (September 2016): 2473011416S0019. http://dx.doi.org/10.1177/2473011416s00194.

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2

LaFehr, T. R. "Standardization in gravity reduction." GEOPHYSICS 56, no. 8 (August 1991): 1170–78. http://dx.doi.org/10.1190/1.1443137.

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Анотація:
Gravity reduction standards are needed to improve anomaly quality for interpretation and to facilitate the joining together of different data sets. To the extent possible, data reduction should be quantitative, objective, and comprehensive, leaving ambiguity only to the interpretation process that involves qualitative, subjective, and geological decisions. The term (Bouguer anomaly) describes a field intended to be free of all nongeologic effects—not modified by a partial geologic interpretation. Measured vertical gradients of gravity demonstrate considerable variation but do not suggest, as often reported, that the normal free‐air gradient is in error or needs to be locally adjusted. Such gradients are strongly influenced by terrain and, to a lesser extent, by the same geologic sources which produce Bouguer anomalies. A substantial body of existing literature facilitates the comprehensive treatment of terrain effects, which may be rigorously implemented with current computer technology. Although variations in topographic rock density are a major source of Bouguer anomalies, a constant density appropriate to the area under investigation is normally adopted as a data reduction standard, leaving a treatment of the density variations to the interpretation. A field example from British Columbia illustrates both the variations in vertical gravity gradients which can be encountered and the conclusion that the classical approach to data reduction is practically always suitable to account for the observed effects. Standard data reduction procedures do not (and should not) include reduction‐to‐datum. The interpreter must be aware, however, that otherwise “smooth” regional Bouguer anomalies caused by regional sources do contain high‐frequency components in areas of rugged topography.
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3

Schoutens, K., A. Sevrin, and P. van Nieuwenhuizen. "Covariant w∞ gravity and its reduction to WN gravity." Physics Letters B 251, no. 3 (November 1990): 355–60. http://dx.doi.org/10.1016/0370-2693(90)90719-m.

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4

Park, I. Y. "Reduction of gravity-matter and dS gravity to hypersurface." International Journal of Geometric Methods in Modern Physics 14, no. 06 (May 4, 2017): 1750092. http://dx.doi.org/10.1142/s021988781750092x.

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The quantization scheme based on reduction of the physical states I. Y. Park, Hypersurface foliation approach to renormalization of ADM formulation of gravity, Eur. Phys. J. C 75(9) (2015) 459, arXiv:1404.5066 [hep-th] is extended to two gravity-matter systems and pure de Sitter (dS) gravity. For the gravity-matter systems, we focus on quantization in a flat background for simplicity, and renormalizability is established through gauge-fixing of matter degrees of freedom. Quantization of pure dS gravity has several new novel features. It is noted that the infrared divergence does not arise in the present scheme of quantization. The lapse function constraint plays a crucial role.
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5

Linares, Román. "S3Group-manifold reduction of gravity." Journal of Physics: Conference Series 24 (January 1, 2005): 213–18. http://dx.doi.org/10.1088/1742-6596/24/1/024.

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6

Heath, Philip. "Quantifying the errors in gravity reduction." ASEG Extended Abstracts 2016, no. 1 (December 2016): 1–7. http://dx.doi.org/10.1071/aseg2016ab120.

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7

Gasperini, M., and M. Giovannini. "Gravity waves from primordial dimensional reduction." Classical and Quantum Gravity 9, no. 10 (October 1, 1992): L137—L141. http://dx.doi.org/10.1088/0264-9381/9/10/002.

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8

Capriotti, S. "Differential geometry, Palatini gravity and reduction." Journal of Mathematical Physics 55, no. 1 (January 2014): 012902. http://dx.doi.org/10.1063/1.4862855.

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9

Carlip, S. "Spontaneous dimensional reduction in quantum gravity." International Journal of Modern Physics D 25, no. 12 (October 2016): 1643003. http://dx.doi.org/10.1142/s0218271816430033.

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Анотація:
Hints from a number of different approaches to quantum gravity point to a phenomenon of “spontaneous dimensional reduction” to two spacetime dimensions near the Planck scale. I examine the physical meaning of the term “dimension” in this context, summarize the evidence for dimensional reduction, and discuss possible physical explanations.
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10

Tchrakian, D. H. "On the dimensional reduction of gravity." General Relativity and Gravitation 19, no. 2 (February 1987): 135–45. http://dx.doi.org/10.1007/bf00770325.

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11

Ghirardi, GianCarlo, Renata Grassi, and Alberto Rimini. "Continuous-spontaneous-reduction model involving gravity." Physical Review A 42, no. 3 (August 1, 1990): 1057–64. http://dx.doi.org/10.1103/physreva.42.1057.

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12

Brunnemann, Johannes, and Tim A. Koslowski. "Symmetry reduction of loop quantum gravity." Classical and Quantum Gravity 28, no. 24 (December 1, 2011): 245014. http://dx.doi.org/10.1088/0264-9381/28/24/245014.

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13

Carlip, S. "Dimensional reduction in causal set gravity." Classical and Quantum Gravity 32, no. 23 (November 9, 2015): 232001. http://dx.doi.org/10.1088/0264-9381/32/23/232001.

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14

Pajot, G., O. de Viron, M. Diament, M. F. Lequentrec-Lalancette, and V. Mikhailov. "Noise reduction through joint processing of gravity and gravity gradient data." GEOPHYSICS 73, no. 3 (May 2008): I23—I34. http://dx.doi.org/10.1190/1.2905222.

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In mineral and oil exploration, gravity gradient data can help to delineate small-scale features that cannot be retrieved from gravity measurements. Removing high-frequency noise while preserving the high-frequency real signal is one of the most challenging tasks associated with gravity gradiometry data processing. We present a method to reduce gravity and gravity gradient data noise when both are measured in the same area, based on a least-squares simultaneous inversion of observations and physical constraints, inferred from the gravity gradient tensor definition and its mathematical properties. Instead of handling profiles individually, our noise-reduction method uses simultaneously measured values of the tensor components and of gravity in the whole survey area, benefiting from all available information. Synthetic examples show that more than half of the random noise can be removed from all tensor components and nearly all the noise from the gravity anomaly without altering the high-frequency information. We apply our method to a set of marine gravity gradiometry data acquired by Bell Geospace in the Faroe-Shetland Basin to demonstrate its power to resolve small-scale features.
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15

Carlip, Steven. "Dimension and Dimensional Reduction in Quantum Gravity." Universe 5, no. 3 (March 19, 2019): 83. http://dx.doi.org/10.3390/universe5030083.

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Анотація:
If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional. A number of independent lines of evidence, based on different approaches to quantization, indicate a similar short-distance dimensional reduction. I will review the evidence for this behavior, emphasizing the physical question of what one means by “dimension” in a quantum spacetime, and will discuss possible mechanisms that could explain the universality of this phenomenon.
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16

Heath, Philip. "Quantifying the differences between gravity reduction techniques." Exploration Geophysics 49, no. 5 (October 2018): 735–43. http://dx.doi.org/10.1071/eg17094.

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17

Carlip, S. "Dimension and dimensional reduction in quantum gravity." Classical and Quantum Gravity 34, no. 19 (September 4, 2017): 193001. http://dx.doi.org/10.1088/1361-6382/aa8535.

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18

Linares-Romero, Román. "About theS3group-manifold reduction of Einstein gravity." Journal of High Energy Physics 2005, no. 07 (July 19, 2005): 042. http://dx.doi.org/10.1088/1126-6708/2005/07/042.

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19

Fursaev, D. V., and A. Zelnikov. "Thermodynamics, Euclidean gravity and Kaluza-Klein reduction." Classical and Quantum Gravity 18, no. 18 (September 5, 2001): 3825–42. http://dx.doi.org/10.1088/0264-9381/18/18/303.

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20

Novak, J., and G. Tartaglino-Mazzucchelli. "Component reduction and the superconformal gravity invariants1." Journal of Physics: Conference Series 965 (March 1, 2018): 012045. http://dx.doi.org/10.1088/1742-6596/965/1/012045.

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21

Richter, O., and G. Rudolph. "On dimensional reduction of gravity with torsion." Classical and Quantum Gravity 10, S (December 1, 1993): S127—S134. http://dx.doi.org/10.1088/0264-9381/10/s/013.

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22

Pilkington, Mark, and Pejman Shamsipour. "Noise reduction procedures for gravity-gradiometer data." GEOPHYSICS 79, no. 5 (September 2014): G69—G78. http://dx.doi.org/10.1190/geo2014-0084.1.

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23

Neumeyer, Juergen, Jan Hagedoorn, Jens Leitloff, and Torsten Schmidt. "Gravity reduction with three-dimensional atmospheric pressure data for precise ground gravity measurements." Journal of Geodynamics 38, no. 3-5 (October 2004): 437–50. http://dx.doi.org/10.1016/j.jog.2004.07.006.

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24

MAZIASHVILI, MICHAEL. "QUANTUM-GRAVITATIONAL RUNNING/REDUCTION OF THE SPACE–TIME DIMENSION." International Journal of Modern Physics D 18, no. 14 (December 31, 2009): 2209–13. http://dx.doi.org/10.1142/s0218271809016028.

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Анотація:
Quantum gravity causes the space–time dimension to depend on the size of the region; it monotonically increases with the size of the region and asymptotically approaches 4 for large distances. This effect was discovered in numerical simulations of lattice quantum gravity in the framework of causal dynamical triangulation (arXiv:hep-th/0505113), as well as in the renormalization group approach to quantum gravity (arXiv:hep-th/0508202). However, in these approaches the interpretation and physical meaning of the effective change of dimension at shorter scales is not clear. Without invoking particular models in this paper, we show that the box-counting dimension in the face of finite resolution of space–time (generally implied by quantum gravity) indicates a simple way in which both the qualitative and the quantitative features of this effect can be understood. In this way we derive a simple analytic expression of space–time dimension running, which implies the modification of Newton's inverse square law in perfect agreement with the modification coming from one-loop gravitational radiative corrections.
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25

Ahmedov, Haji, and Alikram N. Aliev. "Decoupling and reduction in Chern–Simons modified gravity." Physics Letters B 690, no. 2 (June 2010): 196–200. http://dx.doi.org/10.1016/j.physletb.2010.05.021.

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26

Sun, Yaxin, Qing Ye, Rong Zhu, and Guihua Wen. "Cognitive Gravity Model Based Semi-Supervised Dimension Reduction." Neural Processing Letters 47, no. 1 (June 12, 2017): 253–76. http://dx.doi.org/10.1007/s11063-017-9648-9.

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27

Lau, Stephen R. "On the canonical reduction of spherically symmetric gravity." Classical and Quantum Gravity 13, no. 6 (June 1, 1996): 1541–70. http://dx.doi.org/10.1088/0264-9381/13/6/020.

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28

YOON, J. H. "CPN-1 MODEL AS REDUCTION OF GRAVITY THEORIES." Modern Physics Letters A 07, no. 28 (September 14, 1992): 2611–17. http://dx.doi.org/10.1142/s0217732392004080.

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A complete series of the gauged CP N-1 nonlinear sigma models is obtained from the Einstein's gravitation by a reduction mechanism, assuming the SU (N) symmetry as the isometry of the metric. Some physical implications of this result are discussed briefly.
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29

Tchrakian, D. H. "On the dimensional reduction of gravity with torsion." Classical and Quantum Gravity 4, no. 6 (November 1, 1987): L217—L224. http://dx.doi.org/10.1088/0264-9381/4/6/005.

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30

Huggins, S. R., and D. J. Toms. "Self-consistent dimensional reduction in five-dimensional gravity." Physics Letters B 153, no. 4-5 (April 1985): 247–50. http://dx.doi.org/10.1016/0370-2693(85)90541-6.

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31

Sung Ku Kim, Kwang Sup Soh, and Jae Hyung Yee. "(1+1)-dimensional gravity through a dimensional reduction." Physics Letters B 300, no. 3 (February 1993): 223–26. http://dx.doi.org/10.1016/0370-2693(93)90357-n.

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32

Adak, M., and T. Dereli. "Spinor couplings to dilaton gravity induced by the dimensional reduction of topologically massive gravity." Classical and Quantum Gravity 21, no. 9 (April 2, 2004): 2275–80. http://dx.doi.org/10.1088/0264-9381/21/9/004.

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33

Furuse, N., and Y. Kono. "Slab residual gravity anomaly: gravity reduction due to subducting plates beneath the Japanese Islands." Journal of Geodynamics 36, no. 4 (November 2003): 497–514. http://dx.doi.org/10.1016/s0264-3707(03)00062-0.

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34

Arkani‐Hamed, J., and W. E. S. Urquhart. "Reduction to the pole of the North American magnetic anomalies." GEOPHYSICS 55, no. 2 (February 1990): 218–25. http://dx.doi.org/10.1190/1.1442829.

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Magnetic anomalies of North America are reduced to the pole using a generalized technique which takes into account the variations in the directions of the core field and the magnetization of the crust over North America. The reduced‐to‐the‐pole magnetic anomalies show good correlations with a number of regional tectonic features, such as the Mid‐Continental rift and the collision zones along plate boundaries, which are also apparent in the vertical gravity gradient map of North America. The magnetic anomalies do not, however, show consistent correlation with the vertical gravity gradients, suggesting that magnetic and gravity anomalies do not necessarily arise from common sources.
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35

JACKSON, MARK G. "GRAVITY FROM A MODIFIED COMMUTATOR." International Journal of Modern Physics D 14, no. 12 (December 2005): 2239–44. http://dx.doi.org/10.1142/s0218271805007814.

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We show that a suitably chosen position-momentum commutator can elegantly describe many features of gravity, including the IR/UV correspondence and dimensional reduction ("holography"). Using the most simplistic example based on dimensional analysis of black holes, we construct a commutator which qualitatively exhibits these novel properties of gravity. Dimensional reduction occurs because the quanta size grow quickly with momenta, and thus cannot be "packed together" as densely as naively expected. We conjecture that a more precise form of this commutator should be able to quantitatively reproduce all of these features.
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36

LINARES, ROMAN. "BIANCHI IX GROUP-MANIFOLD REDUCTIONS OF GRAVITY." Modern Physics Letters A 20, no. 40 (December 28, 2005): 3115–25. http://dx.doi.org/10.1142/s0217732305018670.

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We exhibit a new way to perform the group-manifold reduction of pure Einstein gravity in the vielbein formulation when the compactification group manifold is S3. The new Bianchi IX group-manifold reduction is obtained by exploiting the two three-dimensional Lie algebras that the S3 group manifold admits. As an application of the new reduction we show that there exists a domain wall solution to the lower-dimensional theory which upon uplifting to the higher-dimension turns out to be the self-dual (in the nonvanishing components of both curvature and spin connection) Kaluza–Klein monopole.
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37

Guo, Li Na, Tong Chun Li, Shan Shan Lu, and Ya Jun Guo. "Deep Sliding Stability Analysis of Gravity Dam Based on FEM Strength Reduction." Advanced Materials Research 243-249 (May 2011): 4608–13. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.4608.

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Anti-sliding stability in deep foundation of Shatuo gravity dam is studied in this paper. Combined with the static and dynamic analysis of anti-sliding stability in deep foundation of gravity, strength reduction finite element method is used to do static calculation of anti-sliding stability firstly. The horizontal seismic strength can be gotten in order to be applied to the baseplane based on response spectrum method, thus dynamic calculation of anti-sliding stability can be carried out. The calculation result shows that static and dynamic anti-sliding stabilities in deep foundation of gravity meet the requirements.
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38

Rasouli, Seyed Meraj Mousavi, Shahram Jalalzadeh, and Paulo Moniz. "Noncompactified Kaluza–Klein Gravity." Universe 8, no. 8 (August 21, 2022): 431. http://dx.doi.org/10.3390/universe8080431.

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We present a brief description of noncompactified higher-dimensional theories from the perspective of general relativity. More concretely, the Space–Time–Matter theory, or Induced Matter theory, and the reduction procedure used to construct the modified Brans–Dicke theory and the modified Sáez–Ballester theory are briefly explained. Finally, we apply the latter to the Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological models in arbitrary dimensions and analyze the corresponding solutions.
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39

Novák, P. "Gravity reduction using a general method of Helmert’s condensation." Acta Geodaetica et Geophysica Hungarica 42, no. 1 (March 2007): 83–105. http://dx.doi.org/10.1556/ageod.42.2007.1.5.

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40

LIU, TianYun, QingBin LI, and BingJian WANG. "Seismic reduction with liquefied sand damper for gravity dams." SCIENTIA SINICA Technologica 45, no. 10 (October 1, 2015): 1098–104. http://dx.doi.org/10.1360/n092015-00014.

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41

Featherstone, W. E., and M. C. Dentith. "A geodetic approach to gravity data reduction for geophysics." Computers & Geosciences 23, no. 10 (December 1997): 1063–70. http://dx.doi.org/10.1016/s0098-3004(97)00092-7.

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42

Ohta, Tadayuki, and Robert Mann. "Canonical reduction of two-dimensional gravity for particle dynamics." Classical and Quantum Gravity 13, no. 9 (September 1, 1996): 2585–602. http://dx.doi.org/10.1088/0264-9381/13/9/022.

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43

Itin, Yakov. "Weak field reduction in teleparallel coframe gravity: Vacuum case." Journal of Mathematical Physics 46, no. 1 (January 2005): 012501. http://dx.doi.org/10.1063/1.1819523.

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44

Stief, Malte, Jens Gerstmann, and Michael E. Dreyer. "Reorientation of Cryogenic Fluids Upon Step Reduction of Gravity." PAMM 5, no. 1 (December 2005): 553–54. http://dx.doi.org/10.1002/pamm.200510253.

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45

Fabbri, Luca. "Torsion gravity for Dirac fields." International Journal of Geometric Methods in Modern Physics 14, no. 03 (February 14, 2017): 1750037. http://dx.doi.org/10.1142/s0219887817500372.

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In this paper, we will take into account the most complete background with torsion and curvature, providing the most exhaustive coupling for the Dirac field, we will discuss the integrability of the interaction of the matter field and the reduction of the matter field equations.
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46

Niksirat, Parna, Adriana Daca, and Krzysztof Skonieczny. "The effects of reduced-gravity on planetary rover mobility." International Journal of Robotics Research 39, no. 7 (May 31, 2020): 797–811. http://dx.doi.org/10.1177/0278364920913945.

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One of the major challenges faced by planetary exploration rovers today is the negotiation of difficult terrain, such as fine granular regolith commonly found on the Moon and Mars. Current testing methods on Earth fail to account for the effect of reduced gravity on the soil itself. This work characterizes the effects of reduced gravity on wheel–soil interactions between an ExoMars rover wheel prototype and a martian soil simulant aboard parabolic flights producing effective martian and lunar gravitational accelerations. These experiments are the first to collect wheel–soil interaction imagery and force/torque sensor data alongside wheel sinkage data. Results from reduced-gravity flights are compared with on-ground experiments with all parameters equal, including wheel load, such that the only difference between the experiments is the effect of gravity on the soil itself. In lunar gravity, a statistically significant average reduction in traction of 20% is observed compared with 1 g, and in martian gravity an average traction reduction of 5–10% is observed. Subsurface soil imaging shows that soil mobilization increases as gravity decreases, suggesting a deterioration in soil strength, which could be the cause of the reduction in traction. Statistically significant increases in wheel sinkage in both martian and lunar gravity provide additional evidence for decreased soil strength. All of these observations (decreased traction, increased soil mobilization, and increased sinkage) hinder a rover’s ability to drive, and should be considered when interpreting results from reduced-load mobility tests conducted on Earth.
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47

GRUMILLER, D., and R. JACKIW. "KALUZA–KLEIN REDUCTION OF CONFORMALLY FLAT SPACES." International Journal of Modern Physics D 15, no. 12 (December 2006): 2075–93. http://dx.doi.org/10.1142/s021827180600956x.

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Анотація:
Kaluza–Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions. Assuming circular symmetry leads to explicit solutions which also arise from specific two-dimensional dilaton gravity actions.
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48

Verdun, Jérôme, Roger Bayer, Emile E. Klingelé, Marc Cocard, Alain Geiger, and Mark E. Halliday. "Airborne gravity measurements over mountainous areas by using a LaCoste & Romberg air‐sea gravity meter." GEOPHYSICS 67, no. 3 (May 2002): 807–16. http://dx.doi.org/10.1190/1.1484525.

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Анотація:
This paper introduces a new approach to airborne gravity data reduction well‐suited for surveys flown at high altitude with respect to gravity sources (mountainous areas). Classical technique is reviewed and illustrated in taking advantage of airborne gravity measurements performed over the western French Alps by using a LaCoste & Romberg air‐sea gravity meter. The part of nongravitational vertical accelerations correlated with gravity meter measurements are investigated with the help of coherence spectra. Beam velocity has proved to be strikingly correlated with vertical acceleration of the aircraft. This finding is theoretically argued by solving the equation of the gravimetric system (gravity meter and stabilized platform). The transfer function of the system is derived, and a new formulation of airborne gravity data reduction, which takes care of the sensitive response of spring tension to observable gravity field wavelengths, is given. The resulting gravity signal exhibits a residual noise caused by electronic devices and short‐wavelength Eötvös effects. The use of dedicated exponential filters gives us a way to eliminate these high‐frequency effects. Examples of the resulting free‐air anomaly at 5100‐m altitude along one particular profile are given and compared with free‐air anomaly deduced from the classical method for processing airborne gravity data, and with upward‐continued ground gravity data. The well‐known trade‐off between accuracy and resolution is discussed in the context of a mountainous area.
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49

Klingelé, E. E., M. Cocard, H. G. Kahle, and M. Halliday. "Kinematic GPS as a source for airborne gravity reduction in the airborne gravity survey of Switzerland." Journal of Geophysical Research: Solid Earth 102, B4 (April 10, 1997): 7705–15. http://dx.doi.org/10.1029/96jb03390.

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50

LI, Ji-Cheng, Hai LIN, Kai LI, Jian-Fu ZHAO, and Wen-Rui HU. "Liquid Sloshing in Partially Filled Capsule Storage Tank Undergoing Gravity Reduction to Low/Micro-Gravity Condition." Microgravity Science and Technology 32, no. 4 (June 10, 2020): 587–96. http://dx.doi.org/10.1007/s12217-020-09801-3.

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