Special perturbation theory methods in celestial mechanics. I. Principles for the construction and substantiation of the application

2006 ◽  
Vol 49 (12) ◽  
pp. 1344-1353 ◽  
Author(s):  
V. A. Avdyushev
Keyword(s):  
Perturbation Theory ◽  
Celestial Mechanics ◽  
Special Perturbation

scholarly journals Application of Computational Intelligence in Order to Develop Hybrid Orbit Propagation Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Iván Pérez ◽  
Juan Félix San-Juan ◽  
Montserrat San-Martín ◽  
Luis María López-Ochoa
Keyword(s):  
Time Series ◽  
Perturbation Theory ◽  
Computational Intelligence ◽  
General Perturbation ◽  
Special Perturbation ◽  
Statistical Time ◽  
Propagation Methods ◽  
External Forces ◽  
Semianalytical Method ◽  
Earth’S Oblateness

We present a new approach in astrodynamics and celestial mechanics fields, calledhybrid perturbation theory. A hybrid perturbation theory combines anintegrating technique, general perturbation theory or special perturbation theory or semianalytical method, with aforecasting technique, statistical time series model or computational intelligence method. This combination permits an increase in the accuracy of the integrating technique, through the modeling of higher-order terms and other external forces not considered in the integrating technique. In this paper, neural networks have been used as time series forecasters in order to help two economic general perturbation theories describe the motion of an orbiter only perturbed by the Earth’s oblateness.

Celestial mechanics via quaternions

1994 ◽  
Vol 72 (3-4) ◽  
pp. 141-146 ◽  
Author(s):  
Jan Vrbik
Keyword(s):  
Perturbation Theory ◽  
Celestial Mechanics ◽  
New Technique

The two-body perturbed problem is solved using a modified Kustaanheimo–Stiefel equation recast in a form suitable for perturbation-theory treatment. The power and elegance of the new technique is demonstrated by deriving major components of the Moon's motion in literally a few lines.

Celestial Mechanics, Vol. 2: Perturbation Theory, Parts 1 and 2

Physics Today ◽  
1973 ◽  
Vol 26 (2) ◽  
pp. 49-50
Author(s):  
Yusuke Hagihara ◽  
William Jefferys
Keyword(s):  
Perturbation Theory ◽  
Celestial Mechanics
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