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1

Chavanne, Cédric P., Eric Firing та François Ascani. "Inertial Oscillations in Geostrophic Flow: Is the Inertial Frequency Shifted by ζ/2 or by ζ?" Journal of Physical Oceanography 42, № 5 (2012): 884–88. http://dx.doi.org/10.1175/jpo-d-12-031.1.

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Abstract The short answer to the question posed in the title is that it depends on the frame of reference chosen to describe the motions. In the inertial limit, the frequency in a rotating frame of reference corresponds to the rotation rate of the inertial current vectors relative to that frame. When described in a reference frame rotating with a geostrophic flow having a relative vertical vorticity ζ, inertial oscillations have a frequency f + ζ, equal to twice the fluid’s rotation rate around the local vertical axis. From a nonrotating frame of reference, one would measure only half this frequency; the other half arises from describing inertial motions in a reference frame rotating with the background flow. However, when described in a reference frame rotating with Earth, hence rotating at −ζ/2 relative to the geostrophic frame, inertial oscillations have a frequency reduced to f + ζ/2.
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2

Morrison, L. V. "Classical Absolute/Differential Programs." Highlights of Astronomy 7 (1986): 77–80. http://dx.doi.org/10.1017/s1539299600006225.

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In astronomy we try to determine a non-rotating frame from analyses of the observed motions of three mechanical systems – the solar system, the galaxy and the extragalactic nebulae. The rotation of the extragalactic frame is of the order 10-10 arcsec per century, so, for all practical purposes, this frame may be regarded as having no rotation. The other two frames are model-dependent and, as such, cannot be regarded ab initio as constituting non-rotation frames of reference. These reference frames are linked by various techniques, as shown in the diagram below.
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3

Johns, Robert H. "Physics on a rotating reference frame." Physics Teacher 36, no. 3 (1998): 178–80. http://dx.doi.org/10.1119/1.879997.

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4

Riseman, Tanya M., та Jess H. Brewer. "The rotating reference frame transformation in μSR". Hyperfine Interactions 65, № 1-4 (1991): 1107–11. http://dx.doi.org/10.1007/bf02397768.

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5

Zawistowski, Z. J., and Ya Kovivchak. "Electromagnetic field in rotating frame of reference." Wave Motion 72 (July 2017): 62–69. http://dx.doi.org/10.1016/j.wavemoti.2016.12.001.

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6

Trukhanova, Mariya Iv. "Quantum hydrodynamics in the rotating reference frame." Physics of Plasmas 23, no. 11 (2016): 112114. http://dx.doi.org/10.1063/1.4967705.

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7

Cheng, Yu-Chung Norman, and E. Mark Haacke. "Spin Behavior in the Rotating Reference Frame." Current Protocols in Magnetic Resonance Imaging 1, no. 1 (2001): B1.2.1—B1.2.7. http://dx.doi.org/10.1002/0471142719.mib0102s01.

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8

Dallen, Lucas, and Dwight E. Neuenschwander. "Noether’s theorem in a rotating reference frame." American Journal of Physics 79, no. 3 (2011): 326–32. http://dx.doi.org/10.1119/1.3535582.

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9

Mashhoon, Bahram. "Electrodynamics in a rotating frame of reference." Physics Letters A 139, no. 3-4 (1989): 103–8. http://dx.doi.org/10.1016/0375-9601(89)90338-1.

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10

Mashhoon, Bahram. "Neutron interferometry in a rotating frame of reference." Physical Review Letters 61, no. 23 (1988): 2639–42. http://dx.doi.org/10.1103/physrevlett.61.2639.

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11

Lawrie, A. G. W., M. Duran-Matute, J. F. Scott, et al. "The axisymmetric jet in a rotating reference frame." Journal of Physics: Conference Series 318, no. 3 (2011): 032048. http://dx.doi.org/10.1088/1742-6596/318/3/032048.

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12

Denisov, M. M., N. V. Kravtsov, and I. V. Krivchenkov. "Optical effects in a rotating frame of reference." JETP Letters 85, no. 8 (2007): 412–14. http://dx.doi.org/10.1134/s0021364007080140.

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13

Hauck, J. C., and B. Mashhoon. "Electromagnetic waves in a rotating frame of reference." Annalen der Physik 12, no. 5 (2003): 275–88. http://dx.doi.org/10.1002/andp.200310011.

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14

Prachar, Ales. "Local low speed preconditioning in rotating reference frame." Applied Mathematical Sciences 9 (2015): 209–18. http://dx.doi.org/10.12988/ams.2015.411885.

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15

Feng, L. L., M. Li, and R. Ruffini. "Optical activity in a rotating frame of reference." Nuclear Physics B - Proceedings Supplements 6 (March 1989): 314–17. http://dx.doi.org/10.1016/0920-5632(89)90463-5.

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16

Speake, Clive, and Antonello Ortolan. "Measuring Electromagnetic Fields in Rotating Frames of Reference." Universe 6, no. 2 (2020): 31. http://dx.doi.org/10.3390/universe6020031.

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We review the problem of transforming electromagnetic fields between inertial and rotating reference frames. We compare the method of straightforward tensor coordinate transformations adopted by Schiff in his well-known paper of 1939 with the method of Orthogonal Tetrads (OT) that was applied to this problem in 1964 by Irvine. Although both methods are mathematically rigorous, the transformed fields have different forms depending on the method adopted. We emphasize that the OT method is expected to predict the fields that would actually be measured by an observer in a rotating frame of reference. We briefly discuss existing experimental evidence that supports the OT approach, but point out that there appears to be little awareness in the physics community of this problem or its resolution. We use both methods to transform the electrostatic and magnetic fields generated by rotating charged spherical shells from an inertial into a co-rotating system. We also briefly describe how such an arrangement of shells could be used to measure rotation relative to the fixed stars.
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17

Sfarti, A. "Generalization of the Thomas-Wigner Rotation to Uniformly Accelerating Boosts." European Journal of Applied Physics 3, no. 3 (2021): 13–15. http://dx.doi.org/10.24018/ejphysics.2021.3.3.79.

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In the current paper we present a generalization of the transforms from the frame co-moving with an accelerated particle for uniformly accelerated motion into an inertial frame of reference. The motivation is that the real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames; our daily experiments happen in Earth-bound laboratories. We use the transforms in order to generalize the Thomas-Wigner rotation to the case of uniformly accelerated boosts.
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18

Tyler, Robert H., and Lawrence A. Mysak. "Electrodynamics in a rotating frame of reference with application to global ocean circulation." Canadian Journal of Physics 73, no. 5-6 (1995): 393–402. http://dx.doi.org/10.1139/p95-055.

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The electrodynamic equations in a rotating reference frame (with velocities of rotation much less than the speed of light) are derived for the cases of a medium stationary in the rotating frame, and a medium with a general velocity relative to the rotating frame. The second case is considered as a necessary formalism for use in the modelling of large-scale electromagnetic fields induced by a prescribed ocean circulation. The terms that include rotational effects depend not only on the relative velocities but also on the electric properties of the material media. Hence, the assumption that rotational terms can be neglected simply because the velocities involved are much less than that of light in a vacuum is not supported. For typical values of the parameters describing the electric properties of the ocean, three of the four Maxwell equations (in Minkowskian form) are similar in form to those in an inertial frame. A governing induction equation in one vector variable (the magnetic field, b) is derived and written out explicitly in various coordinate systems.
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19

Cariglino, Filomena, Nicola Ceresola, and Renzo Arina. "External Aerodynamics Simulations in a Rotating Frame of Reference." International Journal of Aerospace Engineering 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/654037.

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This paper presents the development of a tool integrated in the UNS3D code, proprietary of Alenia Aermacchi, for the simulation of external aerodynamic flow in a rotating reference frame, with the main objective of predicting propeller-aircraft integration effects. The equations in a rotating frame of reference have been formulated in terms of the absolute velocity components; in this way, the artificial dissipation needed for convergence is lessened, as the Coriolis source term is only introduced in the momentum equation. An Explicit Algebraic Reynolds Stress turbulence model is used. The first assessment of effectiveness of this method is made computing stability derivatives of a NACA 0012 airfoil. Finally, steady Navier-Stokes and Euler simulations of a four-blade single-rotating propeller are presented, demonstrating the efficiency of the chosen approach in terms of computational cost.
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20

Carolina Sparavigna, Amelia. "Jerk and Hyperjerk in a Rotating Frame of Reference." International Journal of Sciences 1, no. 03 (2015): 29–33. http://dx.doi.org/10.18483/ijsci.655.

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21

Strange, P., and L. H. Ryder. "The Dirac oscillator in a rotating frame of reference." Physics Letters A 380, no. 42 (2016): 3465–68. http://dx.doi.org/10.1016/j.physleta.2016.08.016.

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22

Polak, T. P., and T. K. Kopeć. "Bose-Hubbard Model in the Rotating Frame of Reference." Acta Physica Polonica A 118, no. 2 (2010): 279–82. http://dx.doi.org/10.12693/aphyspola.118.279.

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23

Nelson, Robert A. "Post-Newtonian approximation for a rotating frame of reference." General Relativity and Gravitation 17, no. 7 (1985): 637–48. http://dx.doi.org/10.1007/bf00763024.

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24

Denisov, M. M., and A. A. Zubrilo. "Study of laser beam propagation in a rotating reference frame." Moscow University Physics Bulletin 64, no. 6 (2009): 569–72. http://dx.doi.org/10.3103/s0027134909060022.

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25

Schwartz, Eyal, and Nizan Meitav. "The Sagnac effect: interference in a rotating frame of reference." Physics Education 48, no. 2 (2013): 203–6. http://dx.doi.org/10.1088/0031-9120/48/2/203.

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26

Nelson, Robert A. "Generalized Lorentz transformation for an accelerated, rotating frame of reference." Journal of Mathematical Physics 28, no. 10 (1987): 2379–83. http://dx.doi.org/10.1063/1.527774.

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27

Nelson, Robert A. "Post-Newtonian approximation for an accelerated, rotating frame of reference." General Relativity and Gravitation 22, no. 4 (1990): 431–49. http://dx.doi.org/10.1007/bf00756150.

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28

Aman Mehta et al.,, Aman Mehta et al ,. "Rotating Newtonian Fluids in a Non-Inertial Frame of Reference." International Journal of Physics and Research 11, no. 2 (2021): 25–42. http://dx.doi.org/10.24247/ijprdec20214.

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29

Xie, Yi, and Sergei Kopeikin. "Reference frames, gauge transformations and gravitomagnetism in the post-Newtonian theory of the lunar motion." Proceedings of the International Astronomical Union 5, S261 (2009): 40–44. http://dx.doi.org/10.1017/s1743921309990123.

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AbstractWe construct a set of reference frames for description of the orbital and rotational motion of the Moon. We use a scalar-tensor theory of gravity depending on two parameters of the parametrized post-Newtonian (PPN) formalism and utilize the concepts of the relativistic resolutions on reference frames adopted by the International Astronomical Union in 2000. We assume that the solar system is isolated and space-time is asymptotically flat. The primary reference frame has the origin at the solar-system barycenter (SSB) and spatial axes are going to infinity. The SSB frame is not rotating with respect to distant quasars. The secondary reference frame has the origin at the Earth-Moon barycenter (EMB). The EMB frame is local with its spatial axes spreading out to the orbits of Venus and Mars and not rotating dynamically in the sense that both the Coriolis and centripetal forces acting on a free-falling test particle, moving with respect to the EMB frame, are excluded. Two other local frames, the geocentric (GRF) and the selenocentric (SRF) frames, have the origin at the center of mass of the Earth and Moon respectively. They are both introduced in order to connect the coordinate description of the lunar motion, observer on the Earth, and a retro-reflector on the Moon to the observable quantities which are the proper time and the laser-ranging distance. We solve the gravity field equations and find the metric tensor and the scalar field in all frames. We also derive the post-Newtonian coordinate transformations between the frames and analyze the residual gauge freedom of the solutions of the field equations. We discuss the gravitomagnetic effects in the barycentric equations of the motion of the Moon and argue that they are beyond the current accuracy of lunar laser ranging (LLR) observations.
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30

Yang, Qi, Yu Feng Zhang, Shi Bao Qian, and Bing Li. "Speed Sensorless Vector Control of Cascaded Inverter for Asynchronous Motor." Applied Mechanics and Materials 241-244 (December 2012): 1797–801. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.1797.

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According to speed sensorless vector control of Asynchronous motor for Cascaded high voltage inverter, a model reference adaptive system (MRAS) implemented in two phase rotating reference frame was studied to identify the rotor speed of an asynchronous motor. To eliminate the inherent limitations of MRAS in two phase stationary reference frame, the reference model and adjustable model used in this MRAS scheme are composed of an improved rotor flux voltage model and rotor flux current model in two phase rotating reference frame respectively. Simulation and experimental results show that the vector control system can estimate the flux and speed with good accuracy, and run with good static and dynamic performance in start, speed regulation and steady operation.
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31

Shegelski, MRA, and M. Reid. "Comment on: Curling rock dynamics - The motion of a curling rock: inertial vs. noninertial reference frames." Canadian Journal of Physics 77, no. 11 (2000): 903–22. http://dx.doi.org/10.1139/p99-070.

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We examine the approach used and the results presented in a recent publication(Can. J. Phys. 76, 295 (1998))in which (i) a noninertial reference frame is used to examine the motion ofa curling rock, and (ii) the lateral motion of a curling rock isattributed to left-right asymmetry in the force acting on the rock.We point out the important differences between describing the motionin an inertial frame as opposed to a noninertial frame.We show that a force exhibiting left-right asymmetryin an inertial frame cannot explain the lateral motion of a curlingrock. We also examine, as was apparently done in the recent publication,an effective force that has left-right asymmetry in a noninertial, rotating frame. We show that such a force is not left-right asymmetric in an inertial frame, and that anylateral motion of a curling rock attributed to the effective forcein the noninertial frame is actually due to a real force, in aninertial frame, which has a net nonzero component transverse to the velocityof the center of mass. We inquire as to the physical basis for thetransverse component of this real force. We also examine the motion ofa rotating cylinder sliding over a smooth surface for which there isno melting: we show that the motion is easily analyzed in an inertialframe and that there is little to be gained by considering a rotating frame.We relate the results for this simple case to the more involved problemof the motion of a curling rock: we find that the motion of curling rocksis best studied in inertial frames. Perhaps most importantly, we showthat the approach taken and the results presented in the recent publicationlead to predicted motions of curling rocks that are indisagreement with observed motions of real curling rocks.PACS Nos.: 46.00, 01.80+b
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32

Perig, Alexander V., Alexander N. Stadnik, and Alexander I. Deriglazov. "Spherical Pendulum Small Oscillations for Slewing Crane Motion." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/451804.

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The present paper focuses on the Lagrange mechanics-based description of small oscillations of a spherical pendulum with a uniformly rotating suspension center. The analytical solution of the natural frequencies’ problem has been derived for the case of uniform rotation of a crane boom. The payload paths have been found in the inertial reference frame fixed on earth and in the noninertial reference frame, which is connected with the rotating crane boom. The numerical amplitude-frequency characteristics of the relative payload motion have been found. The mechanical interpretation of the terms in Lagrange equations has been outlined. The analytical expression and numerical estimation for cable tension force have been proposed. The numerical computational results, which correlate very accurately with the experimental observations, have been shown.
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33

Zhang Xinxin, 张心心, 蒋宏彬 Jiang Hongbin, and 李正斌 Li Zhengbin. "Building of Simulation Environment for Sagnac Effect in Rotating Reference Frame." Laser & Optoelectronics Progress 50, no. 10 (2013): 101402. http://dx.doi.org/10.3788/lop50.101402.

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34

Hasselbach, F., and M. Nicklaus. "Phase Shift of Electron Waves in A Rotating Frame of Reference." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 1 (1990): 212–13. http://dx.doi.org/10.1017/s0424820100179816.

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After the first matter wave version of Sagnac’s classical light optical experiment of 1913, performed by Mercereau and Zimmermann with electron Cooper pairs in 1965, and the Sagnac experiment realized with neutrons by Werner et al. in 1979 , we report here on the first observation of the rotational phase shift of electron waves in vacuum.Theory. The Sagnac effect links classical physics, quantum physics and relativity. Using the special theory of relativity it can be derived that coherent waves, e.g. of light, neutrons or electrons, travelling around a finite area A experience a relative phaseshift
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35

Solemslie, Bjørn W., and Ole G. Dahlhaug. "A reference Pelton turbine - High speed visualization in the rotating frame." IOP Conference Series: Earth and Environmental Science 49 (November 2016): 022002. http://dx.doi.org/10.1088/1755-1315/49/2/022002.

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36

Malykin, Grigorii B. "Sagnac effect in a rotating frame of reference. Relativistic Zeno paradox." Physics-Uspekhi 45, no. 8 (2002): 907–9. http://dx.doi.org/10.1070/pu2002v045n08abeh001225.

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37

Schwartz, Eyal. "Sagnac effect in an off-center rotating ring frame of reference." European Journal of Physics 38, no. 1 (2016): 015301. http://dx.doi.org/10.1088/0143-0807/38/1/015301.

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38

Husain, Tausif, Ali Elrayyah, Yilmaz Sozer, and Iqbal Husain. "Flux-Weakening Control of Switched Reluctance Machines in Rotating Reference Frame." IEEE Transactions on Industry Applications 52, no. 1 (2016): 267–77. http://dx.doi.org/10.1109/tia.2015.2469778.

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39

Malykin, Grigorii B. "Sagnac effect in a rotating frame of reference. Relativistic Zeno paradox." Uspekhi Fizicheskih Nauk 172, no. 8 (2002): 969. http://dx.doi.org/10.3367/ufnr.0172.200208k.0969.

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40

Krenk, Steen, and Martin B. Nielsen. "Hybrid state-space time integration in a rotating frame of reference." International Journal for Numerical Methods in Engineering 87, no. 13 (2011): 1301–24. http://dx.doi.org/10.1002/nme.3169.

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41

KÜBERT, CHRISTIAN, and ALEJANDRO MURAMATSU. "GAUGE THEORY FOR A DOPED ANTIFERROMAGNET IN A ROTATING REFERENCE-FRAME." International Journal of Modern Physics B 10, no. 28 (1996): 3807–26. http://dx.doi.org/10.1142/s0217979296002075.

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We study the consequences of hole-doping in a two-dimensional spin- ½ quantum antiferromagnet. The analysis of a U(1) gauge theory that describes the system in a rotating reference-frame, where the spin-quantization axis of the fermions follow the local order-parameter of the antiferromagnet, leads to a quantitative description of the transition from a Néel ordered to a quantum disordered (QD) spin-liquid phase. Furthermore, it is shown that the spontaneously generated gap in the spin-wave excitation spectrum defines a new energy scale, which determines the strength of an attractive long-range interaction between magnetic and fermionic excitations. The possible bound-states are singlet objects that correspond to the phenomena of charge-spin separation and pairing. Therefore, a close connection between these phenomena and the opening of the spin-gap is revealed.
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42

Kutkut, Nasser H., Hassan M. Cherradi, and Thomas A. Lipo. "Analysis of voltage controlled induction motors using quasi-rotating reference frame." Mathematics and Computers in Simulation 38, no. 4-6 (1995): 271–81. http://dx.doi.org/10.1016/0378-4754(95)00037-x.

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43

Park, Ji Hun. "Multiple Image Based Human Joint Angle Computation." Applied Mechanics and Materials 865 (June 2017): 547–53. http://dx.doi.org/10.4028/www.scientific.net/amm.865.547.

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This paper presents a new computation method for human joint angle. A human structure is modelled as an articulated rigid body kinematics in single video stream. Every input image consists of a rotating articulated segment with a different 3D angle. Angle computation for a human joint is achieved by several steps. First we compute internal as well as external parameters of a camera using feature points of fixed environment using nonlinear programming. We set an image as a reference image frame for 3D scene analysis for a rotating articulated segment. Then we compute angles of rotation and a center of rotation of the segment for each input frames using corresponding feature points as well as computed camera parameters using nonlinear programming. With computed angles of rotation and a center of rotation, we can perform volumetric reconstruction of an articulated human body in 3D. Basic idea for volumetric reconstruction is regarding separate 3D reconstruction for each articulated body segment. Volume reconstruction in 3D for a rotating segment is done by modifying transformation relation of world-to-camera to adjust an angle of rotation of a rotated segment as if there were no rotation for the segment. Our experimental results for a single rotating segment show our method works well.
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44

Salinas, Jorge S., Mariano I. Cantero, Enzo A. Dari, and Thomas Bonometti. "Turbulent structures in cylindrical density currents in a rotating frame of reference." Journal of Turbulence 19, no. 6 (2018): 463–92. http://dx.doi.org/10.1080/14685248.2018.1462496.

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45

Zaleski, T. A., and T. K. Kopeć. "Antiferromagnetic Order in the Hubbard Model: Spin-Charge Rotating Reference Frame Approach." Acta Physica Polonica A 114, no. 1 (2008): 247–51. http://dx.doi.org/10.12693/aphyspola.114.247.

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46

Chen, Tong, Ning Wu, and Yue Yu. "Spin path integral and quantum mechanics in the rotating frame of reference." Chinese Physics C 35, no. 2 (2011): 139–43. http://dx.doi.org/10.1088/1674-1137/35/2/006.

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47

Dankowicz, Harry. "The two-body problem with radiation pressure in a rotating reference frame." Celestial Mechanics and Dynamical Astronomy 61, no. 3 (1995): 287–313. http://dx.doi.org/10.1007/bf00051898.

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48

Bakke, K., V. B. Bezerra, and R. L. L. Vitória. "Scalar field in a uniformly rotating frame in the time-dislocation space–time." International Journal of Modern Physics A 35, no. 22 (2020): 2050129. http://dx.doi.org/10.1142/s0217751x20501298.

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We analyze the relativistic quantum effects induced by the topology associated with a time-dislocation space–time and produced by the angular velocity associated with a rotating reference frame, on a scalar field. The parameters related to the torsion of the dislocation and to the angular velocity of the rotating reference frame impose lower and upper limits of the radial coordinate. At these limiting values of the radial coordinate, boundary conditions are assumed, in order to determine the energy levels. We show that in this scenario, two interesting physical phenomena arise, namely, the Sagnac-like and the Aharonov–Bohm-like effects.
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49

Hayat, Tasawar, Sania Iram, Tariq Javed, and Saleem Asghar. "Flow by a Porous Shrinking Surface in a Rotating Frame." Zeitschrift für Naturforschung A 65, no. 1-2 (2010): 45–52. http://dx.doi.org/10.1515/zna-2010-1-203.

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AbstractWe derive series solution of a nonlinear problem which models the magnetohydrodynamic (MHD) shrinking flow due to a porous plate in a rotating frame of reference. The governing partial differential equations are first converted into ordinary differential equations and then solved by homotopy analysis method. The convergence of the derived series solution is carefully analyzed. Graphical results are presented to examine the role of various interesting parameters.
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50

Yuan, Xiaoguang, and Si Chen. "The Inhomogeneous Waves in a Rotating Piezoelectric Body." Scientific World Journal 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/463891.

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This paper presents the analysis and numerical results of rotation, propagation angle, and attenuation angle upon the waves propagating in the piezoelectric body. Via considering the centripetal and Coriolis accelerations in the piezoelectric equations with respect to a rotating frame of reference, wave velocities and attenuations are derived and plotted graphically. It is demonstrated that rotation speed vector can affect wave velocities and make the piezoelectric body behaves as if it was damping. Besides, the effects of propagation angle and attenuation angle are presented. Critical point is found when rotation speed is equal to wave frequency, around which wave characteristics change drastically.
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