moment of inertialorentzian circleIn this study, we first compute the polar moment of inertia of orbit curves under planar Lorentzian motions and then give the following theorems for the Lorentzian circles: When endpoints of a line segment AB with length a +b move on Lorentzian circle (its ...
The polar moment of inertia, J, of a cross-section with respect to a polar axis, that is, an axis at right angles to the plane of the cross-section, is defined as the moment of inertia of the cross-section with respect to the point of intersection of the axis and the plane. The ...
32,35. However, data from the Silurian have been calculated as a mean pole for the whole Period (443.8–419 Ma)32,35(Supplementary Fig.1), which precludes detailed evaluation of maximum rates of continental motion during
In the usual scenarios of true polar wander modeling, spheroidal Earth models are adopted where the equator is represented by a circle, with no preferred orientation of the minor axis of moment (b = a). In this case, the direction of drift is solely de- termined by the longitudinal ...
TPW should be a global phenomenon, which is why such an approach is taken. Nonetheless, while this method may be adequate for identifying larger amplitude TPW shifts (20–30°) occurring over longer amounts of time (≥10 Myr), it would smooth out and/or obscure the signal of a smaller...
Polar equations of conics are mathematical equations that describe the shape of a conic section, such as a circle, ellipse, parabola, or hyperbola, using polar coordinates. These equations are written in terms of the distance from the origin (r) and the angle from the positive x-axis (θ)...