Lattice-preserving Flower Constellations under \(J_2\) perturbations

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• 作者：Daniel Casanova ; Martín Avenda?o…
• 关键词：Flower constellation theory ; Secular and non ; secular perturbations ; Long ; term stability
• 刊名：Celestial Mechanics & Dynamical Astronomy
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：121
• 期：1
• 页码：83-100
• 全文大小：736 KB
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  15. Wilkins, M.P., Mortari, D.: Flower constellation set theory part ii: secondary paths and equivalency. IEEE Trans. Aerosp. Electron. Syst. 44-, 964-76 (2008) CrossRef
  
• 作者单位：Daniel Casanova (1)
  Martín Avenda?o (2)
  Eva Tresaco (2)
  
  1. Department of Applied Mathematics (GME), Universidad de Zaragoza, Zaragoza, Spain
  2. Centro Universitario de la Defensa, Zaragoza, Spain
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Mathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9478

文摘

2D Lattice Flower Constellations (2D-LFCs) are stable in the Keplerian model. This means that a flower constellation maintains its structure (the lattice) at any instant of time. However, this is not necessarily true when the \(J_2\) harmonic is included in the gravitational potential of the Earth. This paper deals with the new theory of Lattice-preserving Flower Constellations, which shows how 2D-LFC can be designed in such a way that the relative displacement of the orbital parameters of its satellites is invariant even under the presence of the \(J_2\) effect. This is achieved following two different procedures: the first consists of the modification of the semi-major axis of all the satellites in a 2D-LFC slightly to control their orbital period, and the second consists of the modification of the values for the eccentricity and inclination, so that the perturbations result in motion that still preserves the lattice of the flower constellation. The proposed theory of Lattice-preserving Flower Constellations validates the theory of 3D Lattice Flower Constellations and has a wide range of potential applications.