Preliminary Orbit Determination of Artificial Satellites: A Vectorial Sixth-Order Approach | Zendy

Carlos Andreu | Zendy; Noelia Cambil | Zendy; Alicia Cordero | Zendy; Juan R. Torregrosa | Zendy

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Preliminary Orbit Determination of Artificial Satellites: A Vectorial Sixth-Order Approach

Author(s) -

Carlos Andreu,

Noelia Cambil,

Alicia Cordero,

Juan R. Torregrosa

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/960582

Subject(s) - scalar (mathematics) , mathematics , convergence (economics) , iterative method , nonlinear system , orbit (dynamics) , iterative and incremental development , stability (learning theory) , local convergence , scheme (mathematics) , mathematical optimization , mathematical analysis , computer science , geometry , physics , software engineering , quantum mechanics , aerospace engineering , machine learning , engineering , economics , economic growth

A modified classical method for preliminary orbitdetermination is presented. In our proposal, the spread of theobservations is considerably wider than in the original method, aswell as the order of convergence of the iterative scheme involved. The numerical approach is made by using matricial weight functions,which will lead us to a class of iterative methods with a sixthlocal order of convergence. This is a process widely used in thedesign of iterative methods for solving nonlinear scalar equations,but rarely employed in vectorial cases. The numerical tests confirmthe theoretical results, and the analysis of the dynamics of theproblem shows the stability of the proposed schemes

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