Mathematical Problems in Engineering

Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites

Publishing date
15 May 2012
Submission deadline
15 Nov 2011

1Instituto Nacional de Pesquisas Espaciais, São José dos Campos, Granja, Brazil

2Sao Paulo State University Júlio de Mesquita Filho, FEG-UNESP, São Paulo, Brazil

3Departamento de Estatística, Matemática Aplicada e Computaão, São Paulo State University Júlio de Mesquita Filho, São Paulo, Brazil

4Grupo Dinamica Orbital Planetologia, São Paulo State University Júlio de Mesquita Filho, São Paulo, Brazil

5Departament de Matemática Aplicada I, Universitat Politécnica de Catalunya, Barcelona, Spain

Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites


The idea of this special issue of mathematical problems in engineering is to consider the study and applications of celestial mechanics in artificial satellites. This science is very old in human history and deals with problems related to the motion of the planets, satellites, stars, and any celestial body that moves in space governed by the attraction of mass. Many important questions have been answered by this science, related to the motion of the Earth, Moon, and so forth. In the last decades, this science has also been applied to the motion of spacecraft made and launched by man into space. Some of the main tasks of this modern activity is to determine the orbit and the attitude of the spacecraft based on some observations, to obtain its position and attitude in space in a given time from some initial conditions, to find the best way to change their orbits and attitude, to analyze how to use the information of the satellites to find the position and the velocity of a given point (e.g., a personal receptor, a satellite, or a car), and so on.

Those applications show that the space activity in the world is one of the most important achievements of mankind. It makes possible live communications, exploration of Earth resources, weather forecast, accurate positioning, and several other tasks that are part of our lives today.

Therefore, since celestial mechanics plays a very important role in these developments, this call for papers is posted, seeking for papers related to the study of the engineering applications devoted to the motion of spacecrafts. Potential topics include, but are not limited to:

  • Astrodynamics
  • Orbital Maneuver
  • Satellite dynamics and control
  • Aerospace engineering
  • Space dynamics
  • Dynamical systems

Before submission authors should carefully read over the journal's Author Guidelines, which are located at Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at according to the following timetable:

Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
Journal Citation Indicator0.400
Impact Factor1.305

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.