scholarly journals Applications of KS - variables in celestial mechanics

BIBECHANA ◽  
1970 ◽  
Vol 7 ◽  
pp. 54-60
Author(s):  
MR Hassan ◽  
RR Thapa
Keyword(s):  
Coordinate System ◽  
Celestial Mechanics ◽  
Restricted Problem ◽  
Three Dimensional ◽  
Orbital Elements ◽  
Circular Restricted Problem ◽  
Ks Variables ◽  
Three Dimensional Coordinate

This paper deals with the transformation of KS-Variables and canonically conjugate variables from sideral (inertial) to synodic (rotating) form and their applications in "the circular restricted problem of three bodies in three-dimensional coordinate system" to form generating solutions. Keywords: KS - transformation; KS - Variables; Orbital elements; Generating solutions DOI: 10.3126/bibechana.v7i0.4046BIBECHANA 7 (2011) 54-60

scholarly journals Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Awadhesh Kumar Poddar ◽  
Divyanshi Sharma
Keyword(s):  
Perturbation Theory ◽  
Rigid Body ◽  
Coordinate System ◽  
Periodic Orbits ◽  
Restricted Problem ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
General Perturbation ◽  
Triaxial Rigid Body ◽  
Three Dimensional Coordinate

AbstractIn this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the existence of periodic orbits in a three-dimensional coordinate system when μ = 0. Finally, it establishes the canonical set (l, L, g, G, h, H) and forms the basic general perturbation theory for the problem.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

Influencing of Coordinate Transformation on Based CGCS2000 on Topographic Map with Large Scales

2014 ◽  
Vol 522-524 ◽  
pp. 1207-1210
Author(s):  
Qing Wu Meng ◽  
Lu Meng
Keyword(s):  
Coordinate System ◽  
Coordinate Transformation ◽  
Grid Point ◽  
Three Dimensional ◽  
Transformation Model ◽  
Topographic Maps ◽  
Topographic Map ◽  
Transformation Parameters ◽  
Coordinate Changes ◽  
Three Dimensional Coordinate

Using three dimensional coordinate transformation model with 7 parameters the coordinate transformation parameters are solved. Comparing the coordinates of the kilometer grid point on topographic maps in Beijing54, Xian80 and Urban Independent Coordinate System with the observation coordinates of same point inCGCS2000, Through watching their coordinate changes the moving changes regularity on topographic maps are discovered between Beijing54 and CGCS2000, between Xian 80 and CGCS2000, Urban Independent Coordinate System and CGCS2000

Chinese Geodetic Coordinate System 2000 and its Comparison with WGS84

2014 ◽  
Vol 580-583 ◽  
pp. 2793-2796 ◽  
Author(s):  
Hou Pu Li ◽  
Shao Feng Bian ◽  
Zhong Mei Li
Keyword(s):  
Coordinate System ◽  
Normal Gravity ◽  
Three Dimensional ◽  
Vertical Gradient ◽  
Coordinate Systems ◽  
Present Measurement ◽  
Three Dimensional Coordinate ◽  
Geodetic Coordinate System ◽  
International Measurement ◽  
Geocentric Coordinate System

It is a general trend to adopt the geocentric coordinate system as a geodetic datum for the international measurement community. The definition and realization of Chinese geocentric three-dimensional coordinate system (CGCS2000) which has been employed since July 1st, 2008 were introduced in detail. The defining parameters and derived constants of the reference ellipsoid used were given. The comparison between CGCS2000 and WGS84 was carried out. The differences of geodetic coordinates of a point between the two coordinate systems, normal gravity and vertical gradient of normal gravity on the two ellipsoids caused by the change of the flattening of the ellipsoid were analyzed. The results show that these differences could be neglected in view of present measurement accuracies.

THREE-DIMENSIONAL GEOMETRY WITHIN A DRIVING SIMULATOR

2005 ◽  
Vol 16 (06) ◽  
pp. 909-920 ◽  
Author(s):  
T. JANSE VAN RENSBURG ◽  
M. A. VAN WYK ◽  
W.-H. STEEB
Keyword(s):  
Coordinate System ◽  
Programming Language ◽  
Driving Simulator ◽  
Three Dimensional ◽  
Visual Display ◽  
Mathematical Framework ◽  
Coordinate Transformations ◽  
Flight Simulators ◽  
Three Dimensional Coordinate

Three-dimensional coordinate transformations are an essential part of the realistic visual display within a driving simulator. They are also used in other simulators such as flight simulators and for robotics. In this paper, the mathematical framework for implementing three-dimensional coordinate transformations is presented, provided with more detail for implementing it in a programming language such as C++. The realistic positioning of an observer for the "behind and above" view in a driving simulator will be discussed as an application of coordinate system transformations.

scholarly journals Uncertainty Analysis of Three-Dimensional Coordinate Measuring Machines

1997 ◽  
Vol 9 (2) ◽  
pp. 140-145 ◽  
Author(s):  
Jiro Matsuda ◽  
Keyword(s):  
Uncertainty Analysis ◽  
Coordinate System ◽  
Three Dimensional ◽  
Coordinate Measuring Machines ◽  
Uncertainty Of Measurement ◽  
Expanded Uncertainty ◽  
Systematic Experiment ◽  
Orthogonal Coordinate System ◽  
Three Dimensional Coordinate

On the basis of the condition that the distances between planes be measured in accordance with the ISO guide ""Uncertainty of Measurement"", the uncertainty of measurement of a CMM in the orthogonal coordinate system has been obtained by carrying out a systematic experiment. So the expanded uncertainty is given as 4.4μm.

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