Exponentially-fitted and trigonometrically-fitted methods for long-term integration of orbital problems

New Astronomy ◽  
2002 ◽  
Vol 7 (1) ◽  
pp. 1-7 ◽  
Author(s):  
T.E Simos
Keyword(s):  
Orbital Problems ◽  
Exponentially Fitted ◽  
Trigonometrically Fitted Methods

scholarly journals ERKN methods for long-term integration of multidimensional orbital problems

2013 ◽  
Vol 37 (4) ◽  
pp. 2327-2336 ◽  
Author(s):  
Xinyuan Wu ◽  
Bin Wang ◽  
Kai Liu ◽  
Hua Zhao
Keyword(s):  
Orbital Problems ◽  
Erkn Methods

scholarly journals Ideal Frame and Multi-Revolution Methods for Space Debris Dynamics

1997 ◽  
Vol 165 ◽  
pp. 375-380
Author(s):  
C. Calvo ◽  
B. Melendo ◽  
M. Palacios
Keyword(s):  
Space Debris ◽  
High Efficiency ◽  
Space Systems ◽  
Orbital Problems ◽  
Orbital Space ◽  
Short And Long Term ◽  
The Ideal

AbstractUsing the computational advantages offered by the formulation of orbital problems with respect to the ideal frame, with or without regularization, we consider the multi–revolution methods to obtain numerically the short and long–term propagation of the resulting debris clouds after a breakup event of an operational satellite. The problem posed and solved in this form gives high efficiency. We think that software with these features will serve two purposes: it will support studies of the hazards of space debris for operational orbital space systems and also will help to create debris analysis programs more transferable and reliable.

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