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Memorias de investigación
Communications at congresses:
Unified Formulation for Element-Based Indirect Trajectory Optimization
Year:2017
Research Areas
  • Space technology,
  • Astronautics,
  • Aeronautical engineering
Information
Abstract
A general mathematical framework is presented to treat low thrust trajectory optimization problems using the indirect method and employing a generic set of orbital elements (e.g. classical elements, equinoctial, etc.). An algebraic manipulation of the optimality conditions stemming from Pontryagin Maximum Principle reveals the existence of a new quadratic form of the costate, which governs the costate contribution in all the equations of the first order necessary optimality conditions. The quadratic form provides a simple tool for the mathematical development of the optimality conditions for any chosen set of orbital elements and greatly simplifies the computation of a state transition matrix needed in order to improve the convergence of the associated two-point boundary value problem. Objective functions corresponding to minimum-time, minimum-energy and minimum-fuel problems are considered.
International
Si
Congress
26th International Symposium on Space Flight Dynamics (ISSFD)
960
Place
Matsuyama, Japón
Reviewers
Si
ISBN/ISSN
Start Date
03/06/2017
End Date
09/06/2017
From page
1
To page
6
Participants
  • Autor: Juan Luis Gonzalo Gomez (UPM)
  • Autor: Claudio Bombardelli (UPM)
  • Autor: Francesco Topputo (Politecnico di Milano)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica Espacial (SDG-UPM)
  • Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
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