letters b
topocentric reference system
relativistic corrections
barycentric reference system
rotation relation
BTRS
same rotation
precision
nonrotating RS
additive relativistic corrections
chapters
The high precision of present observations makes it reasonable to clear up a question about GRT (general relativity theory) corrections in the problem of Earth’s rotation. The answer is that one may almost forget about GRT corrections when dealing in an adequate reference system (RS). The problem of Earth’s rotation may be related to the relativistic hierarchy of RS started in (Brumberg and Kopejkin, 1989) and completed in (Klioner, 1993). Let letters B, G and T be related to barycentric, geocentric and topocentric RS, respectively. Let DRS and KRS be dynamically nonrotating or kinematically nonrotating RS, respectively. From the dynamical equations of rotation it follows that the most adequate system for studying the Earth’s rotation is DGRS. Apart from the geophysical factors the rotation of the Earth in this system is fairly well approximated by the rigid-body rotation with some angular velocity ῶi . The same rotation of the Earth as considered in BRS and DTRS may be also approximated by the rigid-body rotation but with some additive relativistic corrections and with other angular velocities ωi and ωi, respectively. Substituting these three rotation relations into four-dimensional BRS-DGRS and DGRS-DTRS transformations one may express ωi and ωi in terms of ῶi and determine the additive relativistic corrections in BRS and BTRS. These corrections are of importance for treating kinematics problems in various coordinate systems and for obtaining physically meaningful solutions of the dynamical equations of rotation in the barycentric reference system.The complete text will be published in Journal of Geodynamics.
coordinate system
false
2022-01-01T19:28
https://doi.org/10.1007/978-94-011-0069-4_48
adequate reference system
DRS
velocity
geophysical factors
Earth
observations
DGRS
rigid-body rotation
https://scigraph.springernature.com/explorer/license/
four-dimensional BRS
equations
relation
adequate system
chapter
angular velocity
Earth’s rotation velocity
relativistic hierarchy
questions
present observations
reference frame
Earth Rotation Velocity in Relation with Different Reference Frames
DGRS-DTRS transformations
DTRS
Earth's rotation
geodynamics
complete text
meaningful solutions
en
answers
different reference frames
solution
correction
frame
dynamical equations
293-293
reference system
KRS
1995-01-01
journals
Journal of Geodynamics
BRS
factors
rotation
kinematics problem
hierarchy
problem
transformation
GRT (general relativity theory) corrections
system
high precision
ωi
terms
importance
1995
text
rotation velocity
barycentric
V. A.
Brumberg
978-94-011-0069-4
Astronomical and Astrophysical Objectives of Sub-Milliarcsecond Optical Astrometry
978-0-7923-3443-9
10.1007/978-94-011-0069-4_48
doi
dimensions_id
pub.1028338684
Applied Mathematics
Erik
Høg
Mathematical Sciences
Springer Nature
Seidelmann
P. Kenneth
Institute of Applied Astronomy, 197042, St.-Petersburg, Russia
Institute of Applied Astronomy, 197042, St.-Petersburg, Russia
Springer Nature - SN SciGraph project