Local rotation axis. Theorem 3.1 The local rotation axis is the real eigenvector of ∇v→. Proof. According to the definition of the velocity gradient tensor, dv→=∇v→·dr→. Combined with the definition of local rotation axis, it must be (3.1)dv→=∇v→·dr→=αdr→which ...
Neptune’s rotation axis is tipped toward its orbital plane by 29.6°, somewhat larger than Earth’s 23.4°. As on Earth, the axial tilt gives rise to seasons on Neptune, and, because of the circularity of Neptune’s orbit, the seasons (and the seasons of its moons) are of… ...
A rotation of the Earth about an axis parallel to the baseline connecting the two radio telescopes does not change the relative position of the telescopes with respect to the source, and hence this component of the Earth’s orientation is not determinable from VLBI observations taken on that ...
Rotation is different from that of revolution. Here, a body is not moving around an axis that does not pass through it. The rotation occurs when the axis passes through the body. The axis passes through the center of mass. If the center of mass is in a translation then the combination ...
corresponding to speeds of ∼100 m s−1. This corresponds to an angular velocity about the rotation axis that is more than 50 times faster than the rotation rate of the solid planet. Below this height, the velocity decreases monotonically with decreasing altitude, and it becomes <1 m...
This paper is conceived as a tutorial on rotation averaging, summarizing the research that has been carried out in this area; it discusses methods for single-view and multiple-view rotation averaging, as well as providing proofs of convergence and convexity in many cases. However, at the same ...
For optically active media, recombination of the EL and ER components yields a resultant EO vector rotated from this incident axis by the angle α. In principle, the measurement of optical rotation is extremely simple, and a suitable apparatus is shown in schematic form in Figure 3. The ...
Rotation axisRotation strengthShear contaminationVortex definitionLiutex as a mathematical definition of fluid rotation or vortex is given in this chapter. Liutex is a consistent and systematic definition including the scalar, vector, and tensor forms. The direction of the Liutex vector is determined by...
Please note the different scales of the error-axis showing the rotation error in degree. The bar plot pictures the discrete distribution over our three initialization points. Initialization (I) mostly leads to the minimum loss and thus is the choice in the majority of frames. Left to right: ...
Define Spatial rotation. Spatial rotation synonyms, Spatial rotation pronunciation, Spatial rotation translation, English dictionary definition of Spatial rotation. n. 1. a. The act or process of turning around a center or an axis: the axial rotation of