Axis

If the rotating body is symmetrical and its motion unconstrained, and, if the torque on the spin axis is at right angles to that axis, the axis of precession will be perpendicular to both the spin axis and torque axis.

Consider a location with latitude φ on a sphere that is rotating around the north-south axis. citation A local coordinate system is set up with the x axis horizontally due east, the y axis horizontally due north and the z axis vertically upwards.

Rotation around any axis can be performed by taking a rotation around the x axis, followed by a rotation around the y axis, and followed by a rotation around the z axis.

The general expression can be obtained In the general expression: *The relative phase retardation induced between the fast axis and the slow axis is given by * is the orientation of the fast axis with respect to the x-axis.

With Israeli genocide and the unconditional support of all the members of the Axis of Western Domination led by the United States in West Asia, this Axis has been turned into an Axis of Genocide.

Although he did not explicitly apply the epithet evil to his New Axis, Bodansky's axis was otherwise very reminiscent of Frum's axis.

An "axis of anisotropy" is defined as the axis along which isotropy is broken (or an axis of symmetry, such as normal to crystalline layers).

A simple way of producing a hyperboloid is to rotate a hyperbola about the axis of its foci or about its symmetry axis perpendicular to the first axis; these rotations produce hyperboloids of two and one sheet, respectively.

Because the weights will confine the compass's axis to be horizontal with respect to the Earth's surface, the axis can never align with the Earth's axis (except on the Equator) and must realign itself as the Earth rotates.

Crystals can be grown as Y-bar, with a seed crystal in bar shape and elongated along the Y axis, or as Z-plate, grown from a plate seed with Y-axis direction length and X-axis width.

Each panicle has a central axis from which a secondary axis emerges either with flowers (amaranthiform) or bearing a tertiary axis carrying the flowers (glomeruliform).

For an ellipse in canonical position (center at origin, major axis along the X-axis), the equation simplifies to : : The parameter t (called the eccentric anomaly in astronomy) is not the angle of with the X-axis (see diagram at right).

If the axis of rotation of the neutron star is different to the magnetic axis, external viewers will only see these beams of radiation whenever the magnetic axis point towards them during the neutron star rotation.

In other words, if the axis of rotation of a body is itself rotating about a second axis, that body is said to be precessing about the second axis.

Light travels with a higher phase velocity through an axis that has the smallest refractive index and this axis is called the fast axis.

Rotation about the X-axis: : Rotation about the Y-axis: : Rotation about the Z-axis: : θ in all each of these cases represent the angle of rotation.

Similarly, an axis which has the highest refractive index is called a slow axis since the phase velocity of light is the lowest along this axis.

The axis of maximum radiation, passing through the center of the main lobe, is called the "beam axis" or boresight axis ".

The coordinates have a right-handed convention, that is, if one extends their right thumb upward, it simulates the z-axis, their extended index finger the x-axis, and the curl of the other fingers points generally in the direction of the y-axis.

The horizontal x-axis as red values increasing to the left, y-axis as blue increasing to the lower right and the vertical z-axis as green increasing towards the top.