DROMO formulation for planar motions: solution to the Tsien problem

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• 作者：Hodei Urrutxua ; David Morante…
• 关键词：DROMO ; Planar motion ; Radial thrust ; Tsien problem ; Time regularization ; Numerical propagation of orbits
• 刊名：Celestial Mechanics & Dynamical Astronomy
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：122
• 期：2
• 页码：143-168
• 全文大小：1,064 KB
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• 作者单位：Hodei Urrutxua (1)
  David Morante (1)
  Manuel Sanjurjo-Rivo (2)
  Jesús Peláez (1)
  
  1. Space Dynamics Group (SDG-UPM), Technical University of Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain
  2. Space Dynamics Group (SDG-UPM), Bioengineering and Aerospace Engineering Department, Carlos III University, Avda. de la Universidad 30, 28911, Leganés, Madrid, 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

The two-body problem subject to a constant radial thrust is analyzed as a planar motion. The description of the problem is performed in terms of three perturbation methods: DROMO and two others due to Deprit. All of them rely on Hansen’s ideal frame concept. An explicit, analytic, closed-form solution is obtained for this problem when the initial orbit is circular (Tsien problem), based on the DROMO special perturbation method, and expressed in terms of elliptic integral functions. The analytical solution to the Tsien problem is later used as a reference to test the numerical performance of various orbit propagation methods, including DROMO and Deprit methods, as well as Cowell and Kustaanheimo–Stiefel methods.