scholarly journals Transformation from proper time on Earth to coordinate time in solar system barycentric space-time frame of reference

1981 ◽  
Vol 23 (1) ◽  
pp. 33-56 ◽  
Author(s):  
Theodore D. Moyer
Keyword(s):  
Solar System ◽  
Proper Time ◽  
Time Frame ◽  
Space Time ◽  
Frame Of Reference ◽  
Coordinate Time

scholarly journals The Space-Evolution Frame as an Alternative to Space-Time

2021 ◽  
Author(s):  
Xiaonan Du
Keyword(s):  
Proper Time ◽  
World Line ◽  
Time Frame ◽  
Line Length ◽  
Space Time ◽  
Dimensional Euclidean Space ◽  
Time Space ◽  
Minkowski Space Time ◽  
Spatial Dimensions ◽  
New Perspective

Abstract As an alternative to the Minkowski space-time frame, this paper proposes a four-dimensional Euclidean space that combines three spatial dimensions with proper time instead of time. We call this space evolution, in which proper time is interpreted as an evolutionary position and time is considered world line length and absolute. The space-evolution frame provides a new perspective for our understanding of time, space and special relativity. The new frame is self-consistent and compatible to spacial relativity, the Lorentz transform and its predictions could be derived geometrically by simple coordinate rotation.

A note on the space-time frame of Eddington

1969 ◽  
Vol 65 (2) ◽  
pp. 531-534
Author(s):  
A. H. Klotz
Keyword(s):  
Time Frame ◽  
Space Time ◽  
Frame Of Reference ◽  
Fundamental Theory ◽  
Symmetry Properties

AbstractIt is shown that Eddington's Fundamental Theory admits only four basic operators. The symmetry properties and the reality conditions of the E-frame of reference are formulated in an abstract way.

scholarly journals Spacetime coordinates in the geocentric reference frame

1986 ◽  
Vol 114 ◽  
pp. 269-276 ◽  
Author(s):  
M. Fujimoto ◽  
E. Grafarend
Keyword(s):  
Solar System ◽  
Gravity Field ◽  
Reference Frame ◽  
Relative Velocity ◽  
Proper Time ◽  
Frame Of Reference ◽  
Earth Surface ◽  
Riemann Geometry ◽  
The Earth ◽  
Integrating Factors

A geocentric relativistic reference frame is established which is close to the conventional non-relativistic equatorial frame of reference. Within post-Newtonian approximation the worldline of the geocentre is used to connect points by spacelike geodesics on the equal proper time hypersurface and to establish a properly chosen tetrad reference frame. Points on the earth surface and near the earth-space are coordinated making use of the Frobenius matrix of integrating factors which connects the geocentric orthonormal tetrad with the tangent spacetime of relativistic pseudo-Riemann geometry. The gravity field of the earth and its relative velocity with respect to the solar system barycentre cause coordinate effects of the order of 10 cm for topocentric point positioning.

Relativistic synchronization of onboard clocks of navigation space vehicles with the aid of intersatellite measurements

2021 ◽  
pp. 56-66
Author(s):  
Nikolay N. Vasilyuk ◽  
Alexander P. Chervonkin
Keyword(s):  
Proper Time ◽  
Space Vehicle ◽  
Relativistic Correction ◽  
Point Of View ◽  
Space Vehicles ◽  
Satellite Measurements ◽  
Clock Drift ◽  
Coordinate Time ◽  
Upper Limit ◽  
Unambiguous Interpretation

The problem of the synchronization of onboard clocks of navigation satellites has considered from a relativistic point of view using the concept of “coordinate simultaneity”. This concept allows an unambiguous interpretation of the synchronization results within the framework of general relativity. The algorithm of intersatellite measurements processing has formulated in terms of a proper time of a space vehicle and the coordinate time of a reference frame. Rules of transformation between coordinate and proper time scales have indicated. An analytical expression has obtained for the periodic relativistic correction to the estimated value of the relative clock drift. This correction has expressed in terms of the coordinate time of a ground observer. The value of this correction exceeds the acceptable synchronization error and should be taken into account for the inter-satellite measurements processing. The error of the relativistic correction determination has calculated. This error provides an upper limit for the period of uploading of ephemeris data on the board of the space vehicle.

scholarly journals Report of the BIPM/IAU Joint Committee on Relativity for Space-Time Reference Systems and Metrology

2000 ◽  
Vol 180 ◽  
pp. 275-282 ◽  
Author(s):  
G. Petit
Keyword(s):  
Solar System ◽  
Celestial Mechanics ◽  
Working Group ◽  
Reference Frames ◽  
Space Missions ◽  
Space Time ◽  
Reference Systems ◽  
Frequency Measurements ◽  
Consistent Treatment

AbstractThe BIPM/IAU Joint Committee on relativity for space-time reference systems and metrology (JCR) has worked in collaboration with the IAU Working Group on relativity for celestial mechanics and astrometry (RCMA) on the problems of astronomical relativistic space-time reference frames and the RCMA has proposed to the IAU a consistent framework for defining the barycentric and geocentric celestial reference systems at the first post-Newtonian level. Because new clock technology and space missions will necessitate the application of this framework for time and frequency measurements in the solar system, practical resolutions are proposed by the JCR to the IAU to allow a consistent treatment of these measurements. The paper outlines the conclusions of the work which resulted in the proposed IAU resolutions.

scholarly journals NAMBU-JONA-LASINIO MODEL IN CURVED SPACE-TIME

1993 ◽  
Vol 08 (22) ◽  
pp. 2117-2123 ◽  
Author(s):  
T. INAGAKI ◽  
T. MUTA ◽  
S.D. ODINTSOV
Keyword(s):  
Proper Time ◽  
Space Time ◽  
Leading Order ◽  
Coupling Constant ◽  
Normal Coordinate ◽  
Dynamical Mass ◽  
Curved Space ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator [Formula: see text] is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.

scholarly journals Geodesic stability and quasi normal modes via Lyapunov exponent for Hayward black hole

2020 ◽  
Vol 35 (30) ◽  
pp. 2050249
Author(s):  
Monimala Mondal ◽  
Parthapratim Pradhan ◽  
Farook Rahaman ◽  
Indrani Karar
Keyword(s):  
Black Hole ◽  
Lyapunov Exponent ◽  
Time Scale ◽  
Proper Time ◽  
Normal Modes ◽  
Schwarzschild Black Hole ◽  
Coordinate Time ◽  
Stability And Instability ◽  
The Stability ◽  
Asymptotic Observers

We derive proper time Lyapunov exponent [Formula: see text] and coordinate time Lyapunov exponent [Formula: see text] for a regular Hayward class of black hole. The proper time corresponds to [Formula: see text] and the coordinate time corresponds to [Formula: see text], where [Formula: see text] is measured by the asymptotic observers both for Hayward black hole and for special case of Schwarzschild black hole. We compute their ratio as [Formula: see text] for time-like geodesics. In the limit of [Formula: see text] that means for Schwarzschild black hole this ratio reduces to [Formula: see text]. Using Lyapunov exponent, we investigate the stability and instability of equatorial circular geodesics. By evaluating the Lyapunov exponent, which is the inverse of the instability time scale, we show that, in the eikonal limit, the real and imaginary parts of quasi-normal modes (QNMs) is specified by the frequency and instability time scale of the null circular geodesics. Furthermore, we discuss the unstable photon sphere and radius of shadow for this class of black hole.

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