Lorentzian circles: When endpoints of a line segment AB with length a +b move on Lorentzian circle (its total rotation angle is δ) with the polar moment of inertia T, a point X which is collinear with the points A and B draws a Lorentzian circle with the polar moment of inertiaTsubx...
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 ...
and this interval has been proposed to have experienced large-scale (60–90˚) true polar wander17,18,19,20,21,22,23. True polar wander (TPW) is the movement of the entire solid Earth (mantle and crust) relative to Earth’s spin axis in order to stabilize ...
This indicates that the present true polar wander is directed exactly along the GRS-equator, identical with the 80° W/100° E great circle of the Earth. It is concluded that the phenomenon of polar wander is basically related to the symmetry of the geotectonic system defined by the ...
True polar wander (TPW), or planetary reorientation, is well documented for other planets and moons and for Earth at present day with satellites, but testing its prevalence in Earth’s past is complicated by simultaneous motions due to plate tectonics. Debate has surrounded the existence of Late...
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)...