Approximate analysis for relative motion of satellite formation flying in elliptical orbits
type: Item
instance of: scholarly article
title: Approximate analysis for relative motion of satellite formation flying in elliptical orbits
zbMATH Open document ID: 1119.70018
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2007-05-21T00:00:00Z
review text: The authors study the relative motion of satellite formation flying in elliptic orbits without perturbation using the spherical triangle formed by the projections of two trajectories on the sphere and by the celestial equator. The dimensionless distance is defined as the ratio of maximal distance between two satellites to the semi-major axis of the leader satellite. In close formations the dimensionless distance as well as some vertex angles and arc-distances of the spherical angle are small quantities. Then, as an example, the authors study the periodicity condition of the relative motion by expanding the semi-major axis of the follower as Taylor series around that of the leader.
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 5155248
zbMATH Keywords: Taylor expansion
zbMATH Keywords: periodicity condition
zbMATH Keywords: trigonometric series
author: Fang-Hua Jiang
author: Junfeng Li
author: Hexi Baoyin
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
full work available at URL: s10569-007-9067-8
OpenAlex ID: W1992398694
cites work: Dynamical behaviors and relative trajectories of the spacecraft formation flying
cites work: New form for the optimal rendezvous equations near a Keplerian orbit
cites work: Q3273009
cites work: High-order analytical solutions of Hill's equations
cites work: Satellite relative motion using differential equinoctial elements
cites work: Co‐ordination and control of distributed spacecraft systems using convex optimization techniques
cites work: Canonical modelling of relative spacecraft motion via epicyclic orbital elements
cites work: Q3846809
cites work: Study on relative orbital configuration in satellite formation flying
cites work: SECOND APPROXIMATION TO THE SOLUTION OF THE RENDEZVOUS EQUATIONS
cites work: Useful relative motion description method for perturbations analysis in satellite formation flying
cites work: Solution set on the natural satellite formation orbits under first-order Earth's non-spherical perturbation
DOI: 10.1007/S10569-007-9067-8
description: scientific article; zbMATH DE number 5155248