Explicit, near-optimal guidance for power-limited transfers between coplanar circular orbits

Markopoulos, N

dc.contributor.author	Markopoulos, N	en
dc.date.accessioned	2014-03-01T01:44:43Z
dc.date.available	2014-03-01T01:44:43Z
dc.date.issued	1996	en
dc.identifier.issn	07315090	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24462
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030289272&partnerID=40&md5=3f26d85babab700aa1563157b0d17ce3	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Differential equations	en
dc.subject.other	Maneuverability	en
dc.subject.other	Mathematical models	en
dc.subject.other	Optimal control systems	en
dc.subject.other	Optimization	en
dc.subject.other	Orbits	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Polynomials	en
dc.subject.other	Spacecraft	en
dc.subject.other	Trajectories	en
dc.subject.other	Coplanar circular orbits	en
dc.subject.other	Keplerian class	en
dc.subject.other	Near optimal guidance	en
dc.subject.other	Parameterization	en
dc.subject.other	Space flight	en
dc.title	Explicit, near-optimal guidance for power-limited transfers between coplanar circular orbits	en
heal.type	journalArticle	en
heal.publicationDate	1996	en
heal.abstract	Within the limits of the classical, two-body, inverse-square-gravity model, explicit guidance solutions are presented for power-limited transfers of a spacecraft between two coplanar circular orbits, performed under the Keplerian class of continuous-thrust programs. The Keplerian class is parameterized by an arbitrary, differentiable, explicit function of time, named the throttling function, and leads to a special type of analytically soluble two-dimensional orbital motion. The primary characteristics of such motion are the resulting qualitative and computational simplicity, exact guidance, conditional power-limited near-optimality, and unlimited two-dimensional maneuverability. It is shown that, for a given transfer duration, the Quadratic subclass of the Keplerian class, for which the throttling function is a quadratic polynomial, can be used to obtain open- and closed-loop solutions that satisfy the boundary conditions exactly, but at the expense of sacrificing some optimality. If, in addition, the transfer duration is sufficiently high, then the Tangential subclass, corresponding to a constant throttling function and tangential thrust, can be used to obtain open- and closed-loop guidance solutions that are identical, very simple to compute in real time, and practically as cheap as the corresponding minimum-fuel solutions.	en
heal.journalName	Journal of Guidance, Control, and Dynamics	en
dc.identifier.volume	19	en
dc.identifier.issue	6	en
dc.identifier.spage	1317	en
dc.identifier.epage	1325	en