Journal articles: 'Relativistic Aberration'

1

Beig, Robert, and J. Mark Heinzle. "Relativistic aberration for accelerating observers." American Journal of Physics 76, no. 7 (July 2008): 663–70. http://dx.doi.org/10.1119/1.2888542.

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2

Wolf, Kurt Bernardo. "Relativistic aberration of optical phase space." Journal of the Optical Society of America A 10, no. 9 (September 1, 1993): 1925. http://dx.doi.org/10.1364/josaa.10.001925.

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3

Alam, Md Shah, and Md Didar Chowdhury. "Relativistic aberration of Mixed number Lorentz Transformation." Journal of the National Science Foundation of Sri Lanka 34, no. 3 (September 24, 2006): 143. http://dx.doi.org/10.4038/jnsfsr.v34i3.3645.

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4

Atakishiyev, Natig M., Wolfgang Lassner, and Kurt Bernardo Wolf. "The relativistic coma aberration. I. Geometrical optics." Journal of Mathematical Physics 30, no. 11 (November 1989): 2457–62. http://dx.doi.org/10.1063/1.528524.

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5

Crosta, Mariateresa, and Alberto Vecchiato. "Proper stellar directions and astronomical aberration." Proceedings of the International Astronomical Union 5, S261 (April 2009): 130–34. http://dx.doi.org/10.1017/s1743921309990263.

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AbstractThe general relativistic definition of astrometric measurement needs an appropriate use of the concept of reference frame, which should then be linked to the conventions of the IAU Resolutions (Soffel et al., 2003), which fix the celestial coordinate system. A consistent definition of the astrometric observables in the context of General Relativity is also essential to find uniquely the stellar coordinates and proper motion, this being the main physical task of the inverse ray tracing problem. Aim of this work is to set the level of reciprocal consistency of two relativistic models, GREM and RAMOD (Gaia, ESA mission), in order to guarantee a physically correct definition of light direction to a star, an essential item for deducing the star coordinates and proper motion within the same level of measurement accuracy.

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Sfarti, Adrian. "QED-Based Derivation of the General Forms of the Relativistic Doppler Effect and of the Relativistic Aberration." European Journal of Applied Physics 4, no. 6 (December 9, 2022): 42–46. http://dx.doi.org/10.24018/ejphysics.2022.4.6.225.

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The current paper derives the most general form of the relativistic Doppler effect and of the relativistic aberration starting from base principles available in classical electrodynamics and from the Lorentz transforms of the energy-momentum. Unlike any other material before us, we derive the relativistic Doppler formula for the case of both source and receiver moving in arbitrary directions with respect to an inertial reference frame. Thus, our derivation employs three different reference frames: one commoving with the source, the second one commoving with the receiver and the third one, commoving with the observer. The general formula, once derived, allows us to tease out all the specific cases, like the one from the perspective of the receiver, the one expressing the transverse Doppler effect, and the general formula for the Doppler rotor effect. We close with the derivation of the general formula for relativistic light aberration.

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7

Mersov, G. A. "The relativistic effects in localization of gamma-burst sources." Symposium - International Astronomical Union 114 (1986): 215–22. http://dx.doi.org/10.1017/s0074180900148223.

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The paper discusses influence of relativistic effects in gamma-burst propagation and the time sync. It is shown that the phenomenon of gamma-source aberration, while using the localization algorithm based on the estimates of gamma-burst arrival time instants should be regarded as relativistic effect. Criterions are derived which determine whether it is necessary to account for the relativistic effects, depending on the localization accuracy.

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8

Kiss, L. "Electrostatic lens potentials with small relativistic spherical aberration." Review of Scientific Instruments 60, no. 5 (May 1989): 907–9. http://dx.doi.org/10.1063/1.1140342.

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9

Atakishiyev, Natig M., Wolfgang Lassner, and Kurt Bernardo Wolf. "The relativistic coma aberration. II. Helmholtz wave optics." Journal of Mathematical Physics 30, no. 11 (November 1989): 2463–68. http://dx.doi.org/10.1063/1.528525.

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10

Kovalevsky, J., F. Mignard, and M. Froeschlé. "Space astrometry prospects and limitations." Symposium - International Astronomical Union 114 (1986): 369–82. http://dx.doi.org/10.1017/s0074180900148399.

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Among the few parameters that describe the generalized space time metrics, astrometric techniques are essentially sensitive to the displacement of the apparent positions of celestial bodies. This includes the relativistic light deflection and aberration. The possibilities of small field and wide field astrometry in measuring these effects are described. The case of the second order aberration terms is considered with some detail from the theoretical point of view, both for stellar and planetary aberration. New results are presented in the latter case.A section is devoted to a description of the existing space astrometry projects among which Space Telescope and HIPPARCOS are approved but will not contribute significantly to relativistic studies. Several “second generation” projects exist that aim at 2 or 3 orders of magnitude improvement in precision. They would yield results on second order relativistic effects and may be used to determine masses of some single stars. However, the present state of engineering of space astrometric missions has permitted to identify several limitations of the present and future missions. They will not all be readily suppressed and one should be very careful in assessing now their potentialities. It seems however that interferometric techniques have more chance to reach the 10−4 and 10−5 arc second precision than the imaging methods.

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11

Huang, Y. S., and K. H. Lu. "Formulation of the classical and the relativistic Doppler effect by a systematic method." Canadian Journal of Physics 82, no. 11 (November 1, 2004): 957–64. http://dx.doi.org/10.1139/p04-049.

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The classical and the relativistic Doppler effect for both acoustic and light waves are formulated exactly by a systematic method. This method differs only in its usage of classical and relativistic transformation laws in the formulation of the classical and relativistic Doppler effect, respectively. The method is straightforward, and much more logically rigorous than the typical demonstrations using graphical illustration. In the formulation of the classical Doppler effect, as expected, no aberration and no transverse classical Doppler effect are found. In the formulation of the relativistic Doppler effect, one important discovery is that the transverse relativistic Doppler effect depends only on the speed of the source relative to the observer, irrespective of the nonskew velocities of the source and the observer relative to the medium. PACS No.: 03.30.+p

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12

Pearson, T. J., and A. C. S. Readhead. "The Milliarcsecond Structure of Active Galactic Nuclei Observed with VLBI." Symposium - International Astronomical Union 134 (1989): 525–28. http://dx.doi.org/10.1017/s0074180900141877.

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Very Long Baseline Interferometry at radio wavelengths is the only technique available for imaging the central few parsecs of powerful radio galaxies and quasars. VLBI observations have shown that in many nuclei radio-emitting material is collimated into a jet on a scale less than a parsec and ejected at relativistic velocities. The interpretation of the observations is complicated by the relativistic motion, however: the images are dominated by those parts of the source that are moving almost directly towards the observer, and thus amplified by relativistic aberration. Nonetheless, the VLBI images are vital for understanding the nature of the central engine, the cause of the collimation, and the physics of the jets.

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13

KOPEIKIN, SERGEI M. "GRAVITOMAGNETISM AND THE SPEED OF GRAVITY." International Journal of Modern Physics D 15, no. 03 (March 2006): 305–20. http://dx.doi.org/10.1142/s0218271806007663.

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Experimental discovery of the gravitomagnetic fields generated by translational and/or rotational currents of matter is one of primary goals of modern gravitational physics. The rotational (intrinsic) gravitomagnetic field of the Earth is currently measured by the Gravity Probe B. The present paper makes use of a parametrized post-Newtonian (PN) expansion of the Einstein equations to demonstrate how the extrinsic gravitomagnetic field generated by the translational current of matter can be measured by observing the relativistic time delay caused by a moving gravitational lens. We prove that measuring the extrinsic gravitomagnetic field is equivalent to testing the relativistic effect of the aberration of gravity caused by the Lorentz transformation of the gravitational field. We show that the recent Jovian deflection experiment is a null-type experiment testing the Lorentz invariance of the gravitational field (aberration of gravity), thus, confirming existence of the extrinsic gravitomagnetic field associated with the orbital motion of Jupiter with accuracy 20%. We comment on physically inadequate interpretations of the Jovian deflection experiment given by a number of researchers who are not experts in modern VLBI techniques and the subtleties of JPL ephemeris. We propose to measure the aberration of gravity effect more accurately by observing the gravitational deflection of light by the Sun and processing VLBI observations in the geocentric frame with respect to which the Sun is moving with velocity ~30 km/s.

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14

Brumberg, V. A., S. A. Klioner, and S. M. Kopejkin. "Relativistic Reduction of Astrometric Observations at Points Level of Accuracy." Symposium - International Astronomical Union 141 (1990): 229–40. http://dx.doi.org/10.1017/s0074180900086885.

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The framework of general relativity theory (GRT) is applied to the problem of reduction of high precision astrometric observations of the order of one microarcsecond. The equations of geometric optics for the non-stationary gravitational field of the Solar system have been deduced. Integration of the equations of geometric optics results in the isotropic geodesic line connecting the source of emission (a star, a quasar) and an observer. This permits to calculate the effects of relativistic aberration of light due to monopole and quadrupole components of the gravitational field of the Sun and the planets taking into account their motions and rotation. Transformations between the reference systems are used to calculate the light aberration occurring when passing from the satellite system to the geocentric system and from the geocentric system to the baryecntric system. The baryecntric components of the observed position vector reduced to the flat space-time are corrected, if necessary, for parallax and proper motion of a celestial object using the classical techniques of Euclidean geometry.

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15

Artyukh, V. S. "Effect of Aberration on the Estimated Parameters of Relativistic Radio Jets." Astronomy Reports 62, no. 7 (July 2018): 436–39. http://dx.doi.org/10.1134/s106377291806001x.

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16

Qian Shan-jie. "Rapid polarization angle swings by relativistic aberration in extragalactic radio sources." Chinese Astronomy and Astrophysics 16, no. 3 (July 1992): 266–77. http://dx.doi.org/10.1016/0275-1062(92)90066-k.

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17

Lestrade, J. F. "A formal approach to stellar positions in solar barycentric coordinates." Symposium - International Astronomical Union 114 (1986): 213. http://dx.doi.org/10.1017/s0074180900148211.

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In astrometry, construction of stellar catalogues favors solar barycentric coordinates. Classically, they are calculated by linearly removing stellar aberration and annual parallaxes from measured quantities yielded by Earth-bound instruments. A global approach is proposed to account for those two effects from a more general relativistic point of view. Implications for VLBI measurements and HIPPARCOS measurements of stellar positions are discussed.

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18

Kopeikin, Sergei M., N. V. Shuygina, M. V. Vasilyev, E. I. Yagudina, and L. I. Yagudin. "Numerical Data-Processing Simulations of Microarcsecond Classical and Relativistic Effects in Space Astrometry." International Astronomical Union Colloquium 180 (March 2000): 320–26. http://dx.doi.org/10.1017/s0252921100000464.

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AbstractThe accuracy of astrometric observations conducted via a space-borne optical interferometer orbiting the Earth is expected to approach a few microarcseconds. Data processing of such extremely high-precision measurements requires access to a rigorous relativistic model of light ray propagation developed in the framework of General Relativity. The data-processing of the space interferometric observations must rely upon the theory of general-relativistic transformations between the spacecraft, geocentric, and solar barycentric reference systems allowing unique and unambiguous interpretation of the stellar aberration and parallax effects. On the other hand, the algorithm must also include physically adequate treatment of the relativistic effect of light deflection caused by the spherically-symmetric (monopole-dependent) part of the gravitational field of the Sun and planets as well as the quadrupole- and spin-dependent counterparts of it. In some particular cases the gravitomagnetic field induced by the translational motion of the Sun and planets should be also taken into account for unambigious prediction of the light-ray deflection angle. In the present paper we describe the corresponding software program to take into account all classical (proper motion, parallax, etc.) and relativistic (aberration, deflection of light) effects up to the microarcsecond threshold and demonstrate, using numerical simulations, how observations of stars and/or quasars conducted on board a space optical interferometer orbiting the Earth can be processed and disentangled. For numerical simulations the spacecraft orbital parameters and the telescope optical-system-characteristics have been taken to be similar to those in the Hipparcos mission. The performed numerical data analysis verifies that the relativistic algorithm chosen for data processing is convergent and can be used in practice to determine astronomical coordinates and proper motions of stars (quasars) with the required microarcsecond precision. Results shown in the paper have been obtained with a rather small number of stars (a few thousand). Simulations based on a much larger number of stars, e.g., from the Guide Star Catalogue used to model original observations will give more complete information about potential abilities of the space astrometric missions.

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19

Kupersztych, J. "Laser-driven free-electron laser via the relativistic aberration of light rays." Journal of Physics B: Atomic, Molecular and Optical Physics 27, no. 1 (January 14, 1994): L33—L39. http://dx.doi.org/10.1088/0953-4075/27/1/006.

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20

Preti, G., and F. de Felice. "Relativistic satellite astrometry atμarcsec precision and the measurement of the stellar aberration." Astronomy and Astrophysics 513 (April 2010): A68. http://dx.doi.org/10.1051/0004-6361/200913555.

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21

Gjurchinovski, Aleksandar. "Relativistic aberration of light as a corollary of the relativity of simultaneity." European Journal of Physics 27, no. 4 (May 2, 2006): 703–8. http://dx.doi.org/10.1088/0143-0807/27/4/002.

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22

Christian, John. "StarNAV: Autonomous Optical Navigation of a Spacecraft by the Relativistic Perturbation of Starlight." Sensors 19, no. 19 (September 20, 2019): 4064. http://dx.doi.org/10.3390/s19194064.

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Future space exploration missions require increased autonomy. This is especially true for navigation, where continued reliance on Earth-based resources is often a limiting factor in mission design and selection. In response to the need for autonomous navigation, this work introduces the StarNAV framework that may allow a spacecraft to autonomously navigate anywhere in the Solar System (or beyond) using only passive observations of naturally occurring starlight. Relativistic perturbations in the wavelength and direction of observed stars may be used to infer spacecraft velocity which, in turn, may be used for navigation. This work develops the mathematics governing such an approach and explores its efficacy for autonomous navigation. Measurement of stellar spectral shift due to the relativistic Doppler effect is found to be ineffective in practice. Instead, measurement of the change in inter-star angle due to stellar aberration appears to be the most promising technique for navigation by the relativistic perturbation of starlight.

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23

Arakida, Hideyoshi. "General relativistic aberration equation and measurable angle of light ray in Kerr spacetime." International Journal of Modern Physics D 30, no. 06 (April 6, 2021): 2150045. http://dx.doi.org/10.1142/s0218271821500450.

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We will mainly discuss the measurable angle (local angle) of the light ray [Formula: see text] at the position of the observer [Formula: see text] instead of the total deflection angle (global angle) [Formula: see text] in Kerr spacetime. We will investigate not only the effect of the gravito-magnetic field or frame dragging due to the spin of the central object but also the contribution of the motion of the observer with a coordinate radial velocity [Formula: see text] and a coordinate transverse velocity [Formula: see text] where [Formula: see text] is the impact parameter ([Formula: see text] and [Formula: see text] are the angular momentum and the energy of the light ray, respectively) and [Formula: see text] is a coordinate angular velocity. [Formula: see text] and [Formula: see text] are computed from the components of the four-velocity of the observer [Formula: see text] and [Formula: see text], respectively. Because the motion of observer causes an aberration, we will employ the general relativistic aberration equation to obtain the measurable angle [Formula: see text] which is determined by the four-momentum of the light ray [Formula: see text] and the four-momentum of the radial null geodesic [Formula: see text] as well as the four-velocity of the observer [Formula: see text]. The measurable angle [Formula: see text] given in this paper can be applied not only to the case of the observer located in an asymptotically flat region but also to the case of the observer placed within the curved and finite-distance region. Moreover, when the observer is in radial motion, the total deflection angle [Formula: see text] can be expressed by [Formula: see text]; this is consistent with the overall scaling factor [Formula: see text] instead of [Formula: see text] with respect to the total deflection angle [Formula: see text] in the static case ([Formula: see text] is the velocity of the lens object). On the other hand, when the observer is in transverse motion, the total deflection angle is given by the form [Formula: see text] if we define the transverse velocity as having the form [Formula: see text].

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24

Michel, Denis. "Galilean and relativistic Doppler/aberration effects deduced from spherical and ellipsoidal wavefronts respectively." Optik 250 (January 2022): 168242. http://dx.doi.org/10.1016/j.ijleo.2021.168242.

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25

LI YU. "ON THE RELATIVISTIC FIFTH ORDER GEOMETRICAL ABERRATION EQUATION OF A COMBINED FOCUSING-DEFLECTION SYSTEM." Acta Physica Sinica 35, no. 11 (1986): 1488. http://dx.doi.org/10.7498/aps.35.1488.

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26

Li, Yu. "A relativistic aberration theory without high order derivatives for a combined focusing-deflection system." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 316, no. 2-3 (June 1992): 89–98. http://dx.doi.org/10.1016/0168-9002(92)90889-c.

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27

Dingel, Benjamin, Aria Buenaventura, Annelle Chua, Nathaniel J. C. Libatique, and Koji Murakawa. "Relativistic aberration of light mimicked by microring resonator-based optical All-Pass Filter (APF)." Optik 183 (April 2019): 82–91. http://dx.doi.org/10.1016/j.ijleo.2018.12.149.

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28

Akpan, Christopher O., and Samuel Akpan Bassey. "A critique of the social constructionist and relativistic cultural conception of child abuse." International Journal of Humanities and Innovation (IJHI) 3, no. 1 (March 31, 2020): 11–16. http://dx.doi.org/10.33750/ijhi.v3i1.65.

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Some social scientists and philosophers tend to think that 'child abuse' is a socially constructed and culturally relativistic term than an objective phenomenon. This stems from the divergent cultural views of what characterize abuses. This work argues that child abuse necessarily should not be considered as a social construct. Using the textual analytic and critical methods of philosophizing, the work explores a few relevant but intriguing facts of child abuse and more importantly the challenges connected with socially constructed and culturally relativistic conceptions of this phenomenon. The paper submits that; if humans could appeal to 'nature eye-view' they could perceive the natural bonding relationship which culminates in the congenial protection of the young by parents; hence, would agree that any aberration of such relationship would constitute abuse. This work would engage readers to understand child abuse as a prevalent cross-cultural reality, and to that extent, instigate them to condemn it wherever it occurs.

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29

Ohye, Toshimi, Yoshiki Uchikawa, Chiaki Morita, and Hiroshi Shimoyama. "Aberrations of Accelerating Tube for High-Voltage Electron Microscope." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 1 (August 12, 1990): 194–95. http://dx.doi.org/10.1017/s0424820100179725.

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The accelerating tube (AT) which accelerates electrons up to a desired energy also functions as an electrostatic lens, In the present paper, numerical calculations were conducted on the electron optical characteristics including the spherical aberration of the AT for the high voltage electron microscope. Several electron optical problems arising from a combination of the AT with a thermionic electron gun (TEG) or a field emission gun (FEG) were studied.<Estimation of aberration for AT lens> The AT consists of 34 electrodes with the inner diameter of 3.3 cm and has the overall length of 142.3 cm (Fig.l). The voltage Va is applied between the cathode and the final electrode of the AT. The initial energy of the electron incident to the AT is eVo, where Vo is the anode voltage of the electron gun mounted on the AT. The electric field inside the AT was calculated using the surface charge method. The ray tracing was carried out on the basis of the relativistic paraxial ray equation, and the cardinal elements of the AT lens were obtained.

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30

Poutanen, Juri. "Relativistic rotating vector model for X-ray millisecond pulsars." Astronomy & Astrophysics 641 (September 2020): A166. http://dx.doi.org/10.1051/0004-6361/202038689.

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The X-ray radiation produced on the surface of accreting magnetised neutron stars is expected to be strongly polarised. A swing of the polarisation vector with the pulsar phase gives a direct measure of the source inclination and magnetic obliquity. In the case of rapidly rotating millisecond pulsars, the relativistic motion of the emission region causes additional rotation of the polarisation plane. Here, we develop a relativistic rotating vector model, where we derive analytical expression for the polarisation angle as a function of the pulsar phase accounting for relativistic aberration and gravitational light bending in the Schwarzschild metric. We show that in the case of fast pulsars the rotation of the polarisation plane can reach tens of degrees, strongly influencing the observed shape of the polarisation angle’s phase dependence. The rotation angle grows nearly linearly with the spin rate but it is less sensitive to the neutron star radius. Overall, this angle is large even for large spots. Our results have implications with regard to the modelling of X-ray polarisation from accreting millisecond pulsars that are to be observed with the upcoming Imaging X-ray Polarimeter Explorer and the enhanced X-ray Timing and Polarimetry mission. The X-ray polarisation may improve constraints on the neutron star mass and radius coming from the pulse profile modelling.

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31

Ai Ke-cong, Ximen Ji-ye, and Zhou Li-wei. "RELATIVISTIC ABERRATION THEORY FOR A COMBINED ELECTROMAGNETIC FOCUSING-DEFLECTION SYSTEM POSSESSING A SPHERICAL CATHODE LENS." Acta Physica Sinica 35, no. 9 (1986): 1210. http://dx.doi.org/10.7498/aps.35.1210.

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32

Arakida, Hideyoshi. "General Relativistic Aberration Equation and Measurable Angle of Light Ray in Kerr–de Sitter Spacetime." Universe 7, no. 6 (June 1, 2021): 173. http://dx.doi.org/10.3390/universe7060173.

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As an extension of our previous paper, instead of the total deflection angle α, we will mainly focus on the discussion of measurable angle of the light ray ψP at the position of observer P in Kerr–de Sitter spacetime, which includes the cosmological constant Λ. We will investigate the contribution of the radial and transverse motion of the observer which are connected with radial velocity vr and transverse velocity bvϕ (b is the impact parameter) as well as the spin parameter a of the central object which induces the gravito-magnetic field or frame dragging and the cosmological constant Λ. The general relativistic aberration equation is employed to take into account the influence of motion of the observer on the measurable angle ψP. The measurable angle ψP derived in this paper can be applicable to the observer placed within the curved and finite-distance region in the spacetime. The equation of light trajectory will be obtained in such a sense that the background is de Sitter spacetime instead of Minkowski one. As an example, supposing the cosmological gravitational lensing effect, we assume that the lens object is the typical galaxy and the observer is in motion with respect to the lensing object at a recession velocity vr=bvϕ=vH=H0D (where H0 is a Hubble constant and D means the distance between the observer and the lens object). The static terms O(Λbm,Λba) are basically comparable with the second order deflection term O(m2), and they are almost one order smaller that the Kerr deflection −4ma/b2. The velocity-dependent terms O(Λbmvr,Λbavr) for radial motion and O(Λb2mvϕ,Λb2avϕ) for transverse motion are at most two orders of magnitude smaller than the second order deflection O(m2). We also find that even when the radial and transverse velocity have the same sign, asymptotic behavior as ϕ approaches 0 is different from each other, and each diverges to opposite infinity.

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33

Zhu, Jin-Ping, Bing Zhang, and Yuan-Pei Yang. "Relativistic Astronomy. II. In-flight Solution of Motion and Test of Special Relativity Light Aberration." Astrophysical Journal 877, no. 1 (May 17, 2019): 14. http://dx.doi.org/10.3847/1538-4357/ab1650.

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Saari, Peeter, and Ioannis M. Besieris. "Relativistic aberration and null Doppler shift within the framework of superluminal and subluminal nondiffracting waves." Journal of Physics Communications 4, no. 10 (October 28, 2020): 105011. http://dx.doi.org/10.1088/2399-6528/abbf36.

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35

Thompson, M. C., H. Badakov, J. B. Rosenzweig, G. Travish, N. Barov, P. Piot, R. Fliller, et al. "Observations of low-aberration plasma lens focusing of relativistic electron beams at the underdense threshold." Physics of Plasmas 17, no. 7 (July 2010): 073105. http://dx.doi.org/10.1063/1.3457924.

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36

Giraud, Q., and J. Pétri. "Radio and high-energy emission of pulsars revealed by general relativity." Astronomy & Astrophysics 639 (July 2020): A75. http://dx.doi.org/10.1051/0004-6361/202037979.

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Context. According to current pulsar emission models, photons are produced within their magnetosphere and current sheet, along their separatrix, which is located inside and outside the light cylinder. Radio emission is favoured in the vicinity of the polar caps, whereas the high-energy counterpart is presumably enhanced in regions around the light cylinder, whether this is the magnetosphere and/or the wind. However, the gravitational effect on their light curves and spectral properties has only been sparsely researched. Aims. We present a method for simulating the influence that the gravitational field of the neutron star has on its emission properties according to the solution of a rotating dipole evolving in a slowly rotating neutron star metric described by general relativity. Methods. We numerically computed photon trajectories assuming a background Schwarzschild metric, applying our method to neutron star radiation mechanisms such as thermal emission from hot spots and non-thermal magnetospheric emission by curvature radiation. We detail the general-relativistic effects onto observations made by a distant observer. Results. Sky maps are computed using the vacuum electromagnetic field of a general-relativistic rotating dipole, extending previous works obtained for the Deutsch solution. We compare Newtonian results to their general-relativistic counterpart. For magnetospheric emission, we show that aberration and curvature of photon trajectories as well as Shapiro time delay significantly affect the phase delay between radio and high-energy light curves, although the characteristic pulse profile that defines pulsar emission is kept.

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Poignant, Floriane, Ianik Plante, Zarana S. Patel, Janice L. Huff, and Tony C. Slaba. "Geometrical Properties of the Nucleus and Chromosome Intermingling Are Possible Major Parameters of Chromosome Aberration Formation." International Journal of Molecular Sciences 23, no. 15 (August 3, 2022): 8638. http://dx.doi.org/10.3390/ijms23158638.

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Ionizing radiation causes chromosome aberrations, which are possible biomarkers to assess space radiation cancer risks. Using the Monte Carlo codes Relativistic Ion Tracks (RITRACKS) and Radiation-Induced Tracks, Chromosome Aberrations, Repair and Damage (RITCARD), we investigated how geometrical properties of the cell nucleus, irradiated with ion beams of linear energy transfer (LET) ranging from 0.22 keV/μm to 195 keV/μm, influence the yield of simple and complex exchanges. We focused on the effect of (1) nuclear volume by considering spherical nuclei of varying radii; (2) nuclear shape by considering ellipsoidal nuclei of varying thicknesses; (3) beam orientation; and (4) chromosome intermingling by constraining or not constraining chromosomes in non-overlapping domains. In general, small nuclear volumes yield a higher number of complex exchanges, as compared to larger nuclear volumes, and a higher number of simple exchanges for LET < 40 keV/μm. Nuclear flattening reduces complex exchanges for high-LET beams when irradiated along the flattened axis. The beam orientation also affects yields for ellipsoidal nuclei. Reducing chromosome intermingling decreases both simple and complex exchanges. Our results suggest that the beam orientation, the geometry of the cell nucleus, and the organization of the chromosomes within are important parameters for the formation of aberrations that must be considered to model and translate in vitro results to in vivo risks.

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Dingel, Benjamin B., Krystel Iris de Castro, Jan Llenzl Dagohoy, Nathaniel Libatique, and Carlos Oppus. "Circuit analogue of relativistic aberration of light using low-cost, low-complexity operational amplifier-based all-pass filters." European Journal of Physics 42, no. 1 (January 1, 2021): 015605. http://dx.doi.org/10.1088/1361-6404/abb56b.

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39

Fabian, A. C., C. S. Reynolds, J. Jiang, C. Pinto, L. C. Gallo, M. L. Parker, A. N. Lasenby, et al. "Blueshifted absorption lines from X-ray reflection in IRAS 13224−3809." Monthly Notices of the Royal Astronomical Society 493, no. 2 (February 20, 2020): 2518–22. http://dx.doi.org/10.1093/mnras/staa482.

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ABSTRACT We explore a disc origin for the highly blueshifted, variable absorption lines seen in the X-ray spectrum of the narrow-line Seyfert 1 galaxy IRAS 13224−3809. The blueshift corresponds to a velocity of ∼0.25c. Such features in other active galactic nuclei are often interpreted as ultrafast outflows. The velocity is of course present in the orbital motions of the inner disc. The absorption lines in IRAS 13224−3809 are best seen when the flux is low and the reflection component of the disc is strong relative to the power-law continuum. The spectra are consistent with a model in which the reflection component passes through a thin, highly ionized absorbing layer at the surface of the inner disc, the blueshifted side of which dominates the flux due to relativistic aberration (the disc inclination is about 70°). No fast outflow need occurs beyond the disc.

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Loktev, Vladislav, Alexandra Veledina, and Juri Poutanen. "Analytical techniques for polarimetric imaging of accretion flows in the Schwarzschild metric." Astronomy & Astrophysics 660 (April 2022): A25. http://dx.doi.org/10.1051/0004-6361/202142360.

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Emission from an accretion disk around compact objects, such as neutron stars and black holes, is expected to be significantly polarized. The polarization can be used to put constraints on the geometrical and physical parameters of the compact sources – their radii, masses, and spins – as well as to determine the orbital parameters. The radiation escaping from the innermost parts of the disk is strongly affected by the gravitational field of the compact object and the relativistic velocities of the matter. The straightforward calculation of the observed polarization signatures involves a computationally expensive ray-tracing technique. At the same time, having fast computational routines for direct data fitting is becoming increasingly important in light of the currently observed images of the accretion flow around the supermassive black hole in M 87 by the Event Horizon Telescope and infrared polarization signatures coming from Sgr A*, as well as the upcoming X-ray polarization measurements by the Imaging X-ray Polarimetry Explorer and enhanced X-ray Timing and Polarimetry mission. In this work, we obtain an exact analytical expression for the rotation angle of the polarization plane in the Schwarzschild metric accounting for the effects of light bending and relativistic aberration. We show that the calculation of the observed flux, polarization degree, and polarization angle as a function of energy can be performed analytically with a high level of accuracy using an approximate light-bending formula, eliminating the need for the precomputed tabular models in fitting routines.

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Nättilä, J., and P. Pihajoki. "Radiation from rapidly rotating oblate neutron stars." Astronomy & Astrophysics 615 (July 2018): A50. http://dx.doi.org/10.1051/0004-6361/201630261.

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A theoretical framework for emission originating from rapidly rotating oblate compact objects is described in detail. Using a Hamilton-Jacobi formalism, we show that special relativistic rotational effects such as aberration of angles, Doppler boosting, and time dilatation naturally emerge from the general relativistic treatment of rotating compact objects. We use the Butterworth–Ipser metric expanded up to the second order in rotation and hence include effects of light bending, frame-dragging, and quadrupole deviations on our geodesic calculations. We also give detailed descriptions of the numerical algorithms used and provide an open-source implementation of the numerical framework called BENDER. As an application, we study spectral line profiles (i.e., smearing kernels) from rapidly rotating oblate neutron stars. We find that in this metric description, the second-order quadrupole effects are not strong enough to produce narrow observable features in the spectral energy distribution for almost any physically realistic parameter combination, and hence, actually detecting them is unlikely. The full width at tenth-maximum and full width at half-maximum of the rotation smearing kernels are also reported for all viewing angles. These can then be used to quantitatively estimate the effects of rotational smearing on the observed spectra. We also calculate accurate pulse profiles and observer skymaps of emission from hot spots on rapidly rotating accreting millisecond pulsars. These allow us to quantify the strength of the pulse fractions one expects to observe from typical fast-spinning millisecond pulsars.

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Riazuelo, Alain. "Seeing relativity-I: Ray tracing in a Schwarzschild metric to explore the maximal analytic extension of the metric and making a proper rendering of the stars." International Journal of Modern Physics D 28, no. 02 (January 2019): 1950042. http://dx.doi.org/10.1142/s0218271819500421.

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We present an implementation of a ray tracing code in the Schwarzschild metric. We aim at building a numerical code with a correct implementation of both special (aberration, amplification and Doppler) and general (deflection of light, lensing and gravitational redshift) relativistic effects so as to simulate what an observer with arbitrary velocity would see near, or possibly within, the black hole. We also pay some specific attention to perform a satisfactory rendering of stars. Using this code, we then show several unexplored features of the maximal analytical extension of the metric. In particular, we study the aspect of the second asymptotic region of the metric as seen by an observer crossing the horizon. We also address several aspects related to the white hole region (i.e. past singularity) seen both from outside the black hole, inside the future horizon and inside the past horizon, which gives rise to the most counter-intuitive effects.

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Zakir, Zahid. "Slowing time cosmology with initial violetshift and three types of redshift." QUANTUM AND GRAVITATIONAL PHYSICS 2 (August 16, 2021): 1–20. http://dx.doi.org/10.9751/qgph.2-012.7533.

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In general relativity, the stretching of the wavelengths of photons in the expanding universe occurs along the path and does not depend on the velocity of the source. Therefore, the photons from the sources at rest relative to us did not have, and from the sources comoving the expansion there was an initial Doppler redshift, and then on the way both photon fluxes acquired a stretching redshift. As the result, the redshift of the comoving the expansion sources should be at least doubled. But observations show a single redshift already in the linear part, and therefore in cosmological models only with redshifts (Friedmann's and others) there was the double redshift problem with one hundred percent discrepancy between theory and observations. The observational fact of single redshifts means that the photons should have an initial violetshift, which was compensated for along the way by one of two types of redshift. In the model of slowing time cosmology (STC) proposed in 2020, the rate of proper times was higher in earlier epochs, which led to the violetshift, compensated along the way by the stretching redshift. As a result, in STC the observed shift is reduced to the initial Doppler redshift, to which the gravitational redshift is added for distant objects. The relativistic aberration then leads to dimming of the apparent luminosities. The basic relations of STC are presented, including the “distance modulus – redshift”, which are consistent with observations at new values of cosmological parameters. Evolution in early epochs and its influence on the properties of CMB are also discussed. In STC the light velocity was higher in the past and for this reason it has no previously known cosmological problems.

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Zakir, Zahid. "Slowing time cosmology with initial violetshift and three types of redshift." QUANTUM AND GRAVITATIONAL PHYSICS 2 (August 16, 2021): 1–20. http://dx.doi.org/10.9751/qgph.2-012.7133.

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In general relativity, the stretching of the wavelengths of photons in the expanding universe occurs along the path and does not depend on the velocity of the source. Therefore, the photons from the sources at rest relative to us did not have, and from the sources comoving the expansion there was an initial Doppler redshift, and then on the way both photon fluxes acquired a stretching redshift. As the result, the redshift of the comoving the expansion sources should be at least doubled. But observations show a single redshift already in the linear part, and therefore in cosmological models only with redshifts (Friedmann's and others) there was the double redshift problem with one hundred percent discrepancy between theory and observations. The observational fact of single redshifts means that the photons should have an initial violetshift, which was compensated for along the way by one of two types of redshift. In the model of slowing time cosmology (STC) proposed in 2020, the rate of proper times was higher in earlier epochs, which led to the violetshift, compensated along the way by the stretching redshift. As a result, in STC the observed shift is reduced to the initial Doppler redshift, to which the gravitational redshift is added for distant objects. The relativistic aberration then leads to dimming of the apparent luminosities. The basic relations of STC are presented, including the “distance modulus – redshift”, which are consistent with observations at new values of cosmological parameters. Evolution in early epochs and its influence on the properties of CMB are also discussed. In STC the light velocity was higher in the past and for this reason it has no previously known cosmological problems.

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45

Calabro’, E. "Relativistic aberrational interstellar navigation." Acta Astronautica 69, no. 7-8 (September 2011): 360–64. http://dx.doi.org/10.1016/j.actaastro.2011.05.013.

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46

Dragoman, D. "Relativistic aberrations in quantum phase space." Optics Communications 282, no. 5 (March 2009): 1042–46. http://dx.doi.org/10.1016/j.optcom.2008.11.072.

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47

Бимурзаев, С. Б., and Е. М. Якушев. "Теория и расчет электростатических электронных зеркал с учетом релятивистских эффектов." Журнал технической физики 91, no. 5 (2021): 864. http://dx.doi.org/10.21883/jtf.2021.05.50701.290-20.

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Using the central particle method, the equations of the trajectory of charged particles in an axisymmetric electrostatic mirror are obtained with an accuracy of the third order of smallness inclusive with account for relativistic effects. The conditions for spatial focusing and the coefficients of spatial aberrations in the Gaussian plane of the mirror image are determined with account for relativism. By means of numerical calculations, conditions for simultaneous elimination of spherical and axial chromatic aberrations are determined, taking into account relativistic effects, in an axisymmetric electrostatic mirror when the object plane of the mirror is aligned with its focal plane. It is shown that account for high particle velocities leads both to a shift in the position of the Gaussian image plane and a change in the focusing quality.

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48

Бимурзаев, С. Б., and Е. М. Якушев. "Теория и расчет электростатических электронных зеркал с учетом релятивистских эффектов." Журнал технической физики 91, no. 5 (2021): 864. http://dx.doi.org/10.21883/jtf.2021.05.50701.290-20.

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Using the central particle method, the equations of the trajectory of charged particles in an axisymmetric electrostatic mirror are obtained with an accuracy of the third order of smallness inclusive with account for relativistic effects. The conditions for spatial focusing and the coefficients of spatial aberrations in the Gaussian plane of the mirror image are determined with account for relativism. By means of numerical calculations, conditions for simultaneous elimination of spherical and axial chromatic aberrations are determined, taking into account relativistic effects, in an axisymmetric electrostatic mirror when the object plane of the mirror is aligned with its focal plane. It is shown that account for high particle velocities leads both to a shift in the position of the Gaussian image plane and a change in the focusing quality.

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49

Bimurzaev, S. B., and E. M. Yakushev. "Relativistic theory of aberrations of electrostatic electron-optical systems." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 1022 (January 2022): 165956. http://dx.doi.org/10.1016/j.nima.2021.165956.

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50

Lee, Jeffrey S., and Gerald B. Cleaver. "Ultra-relativistic thermodynamics and aberrations of the cosmic microwave background radiation." Modern Physics Letters A 30, no. 09 (March 11, 2015): 1550045. http://dx.doi.org/10.1142/s0217732315500455.

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Ultra-relativistic inertial and non-inertial reference frames would be subjected to a forward-directed heat bath from the Lorentz transformed temperature of the Cosmic Microwave Background (CMB) radiation. Although the Lorentz transformations of heat and temperature continue to be unresolved issues in the literature,1–6 this paper makes use of occupation number (number density of occupied states per phase space element) to support a Lorentz factor inflation of the rest frame temperature. Additionally, Doppler Boosting is examined.

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Journal articles on the topic 'Relativistic Aberration'

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