Departure Point, Earth's Rate of Rotation and Coordinate Transformation in Quasi-Inertial Geocentric Equatorial Coordinate System (QIGECS)

The Rotation of a Coordinate System as a Linear Transformation

and call the column vector c the representation of the vector x with respect to the basis X . Now, let V and W be vector spaces over F , let X = (x,x, . . . ,x) be a basis of V , let Y = (y,y, . . . , y) be a basis of W , and let T : V → W be a linear transformation. For any i with 1 ≤ i ≤ n we have Tx = ∑m j=1 y aji with some aji ∈ F . For an arbitrary vector x = V such that c = (c1, . . . , c...

Coordinate Transformation in Nanorobotics

As it is the well known, the nanorobotics is the multidisciplinary field that deals with the controlled manipulation of atomic and molecular-sized objects and therefore sometimes is called molecular robotics. In order to design control algorithm for control of a nanorobot motion in a multipotential field, one should start with the related coordinate transformations. It has been done in this pap...

Interoperable Coordinate Transformation and Identification of Coordinate Systems

The OpenGIS Consortium (OGC), an industry group, has developed COM, CORBA and Java interface specifications allowing vendors to develop mutually interoperable geospatial software. OGC established the Coordinate Transformation Working Group (CT-WG) in April 1998. The working group developed a Unified Modeling Language object model of coordinate systems (CS) and coordinate transformations (CT) in...

Generalized Lorentz Coordinate Transformation

This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value in any inertial coordinate systems is removed. This leads to some interesting conclusions and possi...

Freedom in Coordinate Transformation for