Nonlinear Dynamics

, Volume 95, Issue 2, pp 919–942 | Cite as

Determination of thrusts to generate artificial equilibrium points in binary systems with applications to a planar solar sail

  • A. K. de AlmeidaJr.Email author
  • A. F. B. A. Prado
  • T. Yokoyama
Original Paper


In this work, the artificial equilibrium points for a general two-body system are derived, visualized, and summarized as functions of the direction of the thrust, for several directions. The results for the Sun-Earth system are also presented. Planar solar sail applications are also considered.


Astrodynamics Restricted three-body problem Nonlinear systems Artificial equilibrium point Solar sail 



The authors wish to express their appreciation for the financial support from the Coordination for the Improvement of Higher Education Personnel (CAPES) and the support provided by Grants 406841/2016-0, 301338/2016-7, and 305834/2013-4 from the National Council for Scientific and Technological Development (CNPq), Grants 2016/24561-0 and 2016/14665-2 from São Paulo Research Foundation (FAPESP).

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest concerning the publication of this manuscript.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.INPE: Instituto Nacional de Pesquisas EspaciaisSão José dos CamposBrazil
  2. 2.UNESP: Universidade Estadual PaulistaRio ClaroBrazil

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