Applications of Optimal Finite Thrust Orbital Transfers

Leonardo Mazzini, Marco Cerreto

Abstract


Using the theory developed by one of the authors in a  previous paper, the authors discuss and present solutions for the low thrust orbital transfer in a large number of applications of practical interest:

  1. Telecommunication missions from the Geostationary Transfer Orbit (GTO) or the Low Earth Orbit (LEO) to  the Geostationary Earth Orbit (GEO) 
  2. Navigation missions from GTO or LEO to the Medium Earth Orbit (MEO).
  3. LEO and MEO constellation deployment.

Some emerging topics of Mission Analysis have been addressed, as the optimization of the deployment of a constellation with orbits at different RAANs, the introduction of constraints in the trajectory like the minimum perigee altitude, and the existence of many extremal solutions for  the same problem.

The authors have  discussed and solved these problems including the J2 and eclipse effects.

Keywords


Optimization; Finite Thrust; Eclipse; Constellation; Deployment

Full Text:

PDF

References


L. Mazzini, Flexible Spacecraft Dynamics, Control and Guidance, Springer, Rome, 2015.

L. Mazzini, Finite thrust orbital transfers, Acta Astronautica, Volume 100, p. 107-128 (2014).

C. Ferrier, R. Epenoy, Optimal control for engines with electro-ionic propulsion under constraint of eclipse, Acta Astronaut. 48 (4) (2001) 181 – 192.

C. A. Kluever, Low thrust trajectory optimization using orbital averaging and control parametrization, in : B. A. Conway (Ed.), Spacecraft Trajectory Optimization, Cambridge University Press, pp. 112 – 138 (Chapter5).

L. Mazzini, Time open orbital transfer in a transformed Hamiltonian setting, J. Guid. Control Dyn. 36, September – October (5), 2013.

Jang-Won Jo, J.E. Prussing, Procedure for Applying Second Order Conditions in Optimal Control Problems, Journal of Guidance, Control, and Dynamics, Vol. 23, No. 2, March–April 2000

B. Chachuat, Non linear and dynamic optimization, from theory to practice, La-Teaching, 2007–001, Ecole Polytechnique Federale de Lausanne

J. A. Kechichian, Analytic representations of optimal low thrust transfer in circular orbits, in : B. A. Conway (Ed.), Spacecraft Trajectory Optimization, Cambridge University Press, pp.139–177 (Chapter6).

J.A. Sanders, F. Verhulst, J. Murdock, Averaging methods in Nonlinear Dynamical Systems, 2nd edn., vol. 59 (Springer - Applied Mathematical Sciences) (2000)

M. Pontani, G. Cecchetti, P.Teofilatto, Variable time domain neighboring optimal guidance applied to space trajectories. Article • Nov 2015 • Acta Astronautica




DOI: http://dx.doi.org/10.19249/ams.v96i1.292

Refbacks

  • There are currently no refbacks.


Copyright © 2018. All Rights Reserved.