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Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation
Nowadays a unit quaternion is widely employed to represent the three-dimensional (3D) rotation matrix and then applied to the 3D similarity...
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Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation
Considering that a unit dual quaternion can describe elegantly the rigid transformation including rotation and translation, the point-wise weighted...
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Terrestrial reference frames and their internal accuracy at coordinate system level
The accuracy assessment of terrestrial reference frames (TRFs) at coordinate system level is a key task to ensure their successful use in Earth...
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Evaluation of GPS and BDS-3 broadcast earth rotation parameters: a contribution to the ephemeris rotation error
Due to errors of earth rotation parameters (ERPs) adopted when generating the broadcast ephemeris, GNSS broadcast ephemeris suffers orientation...
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Deformation: Strain and Rotation
In Chap. 3 , we introduced infinitesimal and finite strain tensors. The Eulerian displacement gradients...
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The use of the quaternions for describing the Earth’s rotation
We derive the quaternions expressing the rotation transformation between celestial and terrestrial reference systems as functions of the parameters...
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Impact of solar radiation pressure models on earth rotation parameters derived from BDS
Earth rotation parameters (ERPs) are susceptible to absorbing the spurious effects from global navigation satellite system constellation...
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Rotation of Rigid Objects in Homogeneous Flows
Shape-preferred orientations in metamorphic tectonites are commonly defined by 3D fabric elements (Chap. 2...
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Autonomous coordinate establishment of local reference frames for ground-based positioning systems without known points
Ground-based positioning systems (GBPSs) can serve as a supplement and backup to global navigation satellite systems. GBPSs are known for their low...
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Effect of the Velocity of Rotation on the Constitutive Equations for Geomedia
AbstractThe author focuses on complex loading of a granular material at continuous rotation of the principal strain axes. The described testing...
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Elastic simulation method in an irregular polar coordinate system
When simulating the propagation of seismic waves in some special structures, such as tunnels and boreholes, finite difference forward modeling in the...
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On the rotation of melting ice disks
This investigation was inspired by the work of Dorbolo et al. (Phys Rev E 93(3):15, 2016), which was the first to study, at a laboratory scale, the...
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Plastic rotation capacity of RC columns under biaxial seismic demands
Seismic performance of reinforced concrete (RC) columns should be evaluated considering biaxial demands for a more realistic assessment. However,...
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Self-Induced Rotation of an Ice Disk on the Surface of Water
AbstractThe results of experimental study and physical modeling of spontaneous rotation of an ice disk on the surface of moving water are presented....
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The Rotation Rate of the Active Longitude and Sunspot Groups on It and Other Characteristics of Sunspot Groups at the End of the Descending Branch of Solar Cycle 24
Abstract —The longitudinal distribution and characteristic features of sunspot groups during the end of the descending branch of Solar Cycle 24 are...
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Paleomagnetic constraints on Paleogene-Neogene rotation and paleo-stress in the northern Qaidam Basin
Knowing the rotation and paleo-stress history in Qaidam Basin is a fundamental parameter to quantify the mechanism of intracontinental deformation in...
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Verification of a Modified Nonhydrostatic Global Spectral Dynamical Core Based on the Dry-Mass Vertical Coordinate: Three-Dimensional Idealized Test Cases
The newly developed nonhydrostatic (NH) global spectral dynamical core is evaluated by using three-dimensional (3D) benchmark tests with/without...
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Frame Accuracy of Combined EPN Weekly Coordinate Solutions
The scope of this paper is to perform an internal quality assessment, at frame parameter level, on the combined EPN weekly coordinate solutions....
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Temporal evolution of crustal rotation in the Aegean region based on primary geodetically-derived results and palaeomagnetism
The Aegean is tectonically the most active and complex area in the Mediterranean region, including numerous active structures of all types of...
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Quaternions for Rotations in Paleomagnetism
Various rotation operations are required in paleomagnetism. These include transformations to the geographic coordinate system, tilt correction, and...
