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Phase fitted variational integrators using interpolation techniques on non regular grids.

Authors :
Kosmas, O. T.
Leyendecker, S.
Source :
AIP Conference Proceedings. Sep2012, Vol. 1479 Issue 1, p2402-2406. 5p. 1 Chart, 5 Graphs.
Publication Year :
2012

Abstract

The possibility of deriving a high order variational integrator that utilizes intermediate nodes within one time interval time to approximate the action integral is investigated. To this purpose, we consider time nodes chosen through linear or exponential expressions and through the roots of Chebyshev polynomial of the first kind in order to approximate the configurations and velocities at those nodes. Then, by defining the Lagrange function as a weighted sum over the discrete Lagrangians corresponding to the curve segments, we apply the phase fitted technique to obtain an exponentially fitted numerical scheme. The resulting integrators are tested for the numerical simulation of the planar two body problem with high eccentricity and of the three-body orbital motion within a solar system. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
1479
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
80711315
Full Text :
https://doi.org/10.1063/1.4756679