Sets of 3 N 6 local coordinates well suited for describing the system are introduced: they are all made up of the N 1 vector lengths, N 2 planar angles of vector pairs and N 3 dihedral angles for vector triplets. In addition, three Euler angles describe the orientation of the body-...
Binary operations between position Vectors and vector fields, free Vectors or rooted Vectors are not defined; however, a position Vector can be converted to a free Vector in Cartesian coordinates via ConvertVector. • For details on the differences between position Vectors, rooted Vectors and fre...
conversion between ECEF (earth-centred, earth-fixed), latitude/longitude and n-vector positions for spherical and ellipsoidal earth model, conversion between latitude/longitude and n-vector positions, local frames (body; local level, wander azimuth; north, east, down): delta between positions, ...
The position of an observer located on the Earth's surface will be given by its geographical coordinates, namely, Latitude and Longitude. The position of the sun with respect to an observer located on the Earth's surface is given by the following position vector: ...
The ObjectPositionWS expression outputs the world-space center position of the object's bounds. For example, this is useful for creating spherical lighting for foliage. Actor Position ActorPositionWS outputs Vector3 (RGB) data representing the location of the object with this material on it in wo...
Ecliptic Spherical (lon, lat, radiusVector) Equatorial Spherical (rightAscension, declination, radiusVector) Horizontal (azimuth, altitude, radiusVector) Usable Methods in objects Each object (e.g. Moon, Sun, Venus, Jupiter, ...) provides the following methods to get their coordinates in space:...
velocity and acceleration vector transformations are calculated. The velocity and acceleration values are obtained from first- and second-time derivatives of the position vectors, respectively. This information is used by the master controller 103, shown schematically in FIG. 6, to calculate the positio...
Several optical and non-optical methods have been adapted for measuring mirror shape described in Section 3.2.3; both aim at determining either the normal vector of the reflecting surface directly, or measuring 3D coordinates of the mirror surface and calculating normal vector afterwards. In any cas...
and characteristics of electronics module26. A vector (x, y, z) and a pair of angles (φ, θ) specify the three-dimensional location and orientation of sensor coil13of probe12. If the probe12has multiple non-colinear coils, the parameters may include an additional angular parameter (ψ) ...
Addition Theorems for Spherical Wave Functions Addition theorems are described for spherical vector wave functions, under both rotations and translations of the coordinate system. These functions are th... Stein,Seymour - 《Quarterly of Applied Mathematics》 被引量: 338发表: 1961年 Two alternative exp...