Numerical validation of the delaunay normalization and the Krylov-Bogoliubov-Mitropolsky method

  1. Ortigosa, D. 1
  2. San-Juan, J.F. 1
  3. Pérez, I. 1
  4. San-Martín, M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Mathematical Problems in Engineering

ISSN: 1024-123X

Year of publication: 2014

Volume: 2014

Type: Article

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DOI: 10.1155/2014/927975 SCOPUS: 2-s2.0-84904602552 WoS: WOS:000339255900001 GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

A scalable second-order analytical orbit propagator programme based on modern and classical perturbation methods is being developed. As a first step in the validation and verification of part of our orbit propagator programme, we only consider the perturbation produced by zonal harmonic coefficients in the Earth's gravity potential, so that it is possible to analyze the behaviour of the mathematical expressions involved in Delaunay normalization and the Krylov-Bogoliubov-Mitropolsky method in depth and determine their limits. © 2014 David Ortigosa et al.