Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem
An algorithm is proposed for analytical computing the stability boundaries of the Lagrange triangular solutions in the elliptic restricted three‐body problem. It is based on the infinite determinant method. The algorithm has been implemented by using the computer algebra system Mathematica and...
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Vilnius Gediminas Technical University
2006-03-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9601 |
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doaj-d59bc69117124bccba0954340ce807c02021-07-02T14:19:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102006-03-0111110.3846/13926292.2006.9637305Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problemA. N. Prokopenya0Brest State Technical University , Moskowskaya 267, Brest, 224017, Belarus An algorithm is proposed for analytical computing the stability boundaries of the Lagrange triangular solutions in the elliptic restricted three‐body problem. It is based on the infinite determinant method. The algorithm has been implemented by using the computer algebra system Mathematica and the stability boundaries have been determined in the form of power series with respect to a small parameter with accuracy up to the 10th order. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9601- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. N. Prokopenya |
| spellingShingle |
A. N. Prokopenya Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem Mathematical Modelling and Analysis - |
| author_facet |
A. N. Prokopenya |
| author_sort |
A. N. Prokopenya |
| title |
Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| title_short |
Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| title_full |
Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| title_fullStr |
Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| title_full_unstemmed |
Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| title_sort |
computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2006-03-01 |
| description |
An algorithm is proposed for analytical computing the stability boundaries of the Lagrange triangular solutions in the elliptic restricted three‐body problem. It is based on the infinite determinant method. The algorithm has been implemented by using the computer algebra system Mathematica and the stability boundaries have been determined in the form of power series with respect to a small parameter with accuracy up to the 10th order.
First Published Online: 14 Oct 2010
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| url |
https://journals.vgtu.lt/index.php/MMA/article/view/9601 |
| work_keys_str_mv |
AT anprokopenya computingthestabilityboundariesforthelagrangetriangularsolutionsintheellipticrestrictedthreebodyproblem |
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1721328101856641024 |