caa a22 4500 606166114 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10440-014-9948-2 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9948-2 Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer Towards Circular Orbits [Elektronische Daten] [Bernard Bonnard, Helen Henninger, Jana Němcová, Jean-Baptiste Pomet] This article makes a study of the averaged optimal coplanar transfer towards circular orbits. Our objective is to compare this problem when the cost minimized is transfer time to the same problem when the cost minimized is energy consumption. While the minimum energy case leads to the analysis of a 2D-Riemannian metric using the standard tools of Riemannian geometry, the minimum time case is associated with a Finsler metric which is not smooth. Nevertheless a qualitative analysis of the geodesic flow is given in this article to describe the optimal transfers of the time minimal case. Springer Science+Business Media Dordrecht, 2014 Averaging nationallicence Optimal control nationallicence Low thrust orbit transfer nationallicence Geodesic convexity nationallicence Riemann-Finsler geometry nationallicence Bonnard Bernard Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078, Dijon, France aut Henninger Helen Team McTAO, INRIA Sophia Antipolis Méditerranée, 2004 rte des lucioles, B.P. 92, 06902, Sophia Antipolis cedex, France aut Němcová Jana Department of Mathematics, Institute of Chemical Technology, Technická 5, 166 28, Prague 6, Czech Republic aut Pomet Jean-Baptiste Team McTAO, INRIA Sophia Antipolis Méditerranée, 2004 rte des lucioles, B.P. 92, 06902, Sophia Antipolis cedex, France aut Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 47-80 0167-8019 135:1<47 2015 135 10440 https://doi.org/10.1007/s10440-014-9948-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9948-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bonnard Bernard Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078, Dijon, France aut NATIONALLICENCE 700 1- Henninger Helen Team McTAO, INRIA Sophia Antipolis Méditerranée, 2004 rte des lucioles, B.P. 92, 06902, Sophia Antipolis cedex, France aut NATIONALLICENCE 700 1- Němcová Jana Department of Mathematics, Institute of Chemical Technology, Technická 5, 166 28, Prague 6, Czech Republic aut NATIONALLICENCE 700 1- Pomet Jean-Baptiste Team McTAO, INRIA Sophia Antipolis Méditerranée, 2004 rte des lucioles, B.P. 92, 06902, Sophia Antipolis cedex, France aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 47-80 0167-8019 135:1<47 2015 135 10440