Semianalytical Solutions of Relative Motions with Applications to Periodic Orbits about a Nominal Circular Orbit
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In the dynamical model of relative motion with circular reference orbit, the equilibrium points are distributed on the circle where the leader spacecraft is located.
In this work, analytical solutions of periodic configurations around an arbitrary equilibrium point are constructed by taking Lindstedt-Poincaré (L-P) and polynomial expansion methods.
Based on L-P approach, periodic motions are expanded as formal series of in-plane and out-of-plane amplitudes.
According to the method of polynomial expansions, a pair of modal coordinates is chosen, and the remaining state variables are expressed as polynomial series about the modal coordinates.
In order to check the validity of series solutions constructed, the practical convergence is evaluated.
Considering the fact that relative motion model is a special case of restricted three-body problem, the periodic configurations constructed in the model of relative motion are taken as starting solutions to numerically identify the periodic orbits in restricted three-body problem by means of continuation technique with the mass of system as continuation parameter.
American Psychological Association (APA)
Guo, Qiwei& Lei, Han-lun& Xu, Bo. 2018. Semianalytical Solutions of Relative Motions with Applications to Periodic Orbits about a Nominal Circular Orbit. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1207339
Modern Language Association (MLA)
Guo, Qiwei…[et al.]. Semianalytical Solutions of Relative Motions with Applications to Periodic Orbits about a Nominal Circular Orbit. Mathematical Problems in Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1207339
American Medical Association (AMA)
Guo, Qiwei& Lei, Han-lun& Xu, Bo. Semianalytical Solutions of Relative Motions with Applications to Periodic Orbits about a Nominal Circular Orbit. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1207339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207339