A Full-Body Relative Orbital Motion of Spacecraft Using Dual Tensor Algebra and Dual Quaternions

Autor:	Daniel Condurache
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	non-inertial frame full body problem relative orbital motion dual algebra Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 6, p 1366 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11061366
Popis:	This paper proposes a new non-linear differential equation for the six degrees of freedom (6-DOF) relative rigid bodies motion. A representation theorem is provided for the 6-DOF differential equation of motion in the arbitrary non-inertial reference frame. The problem of the 6-DOF relative motion of two spacecraft in the specific case of Keplerian confocal orbits is proposed. The result is an analytical method without secular terms and singularities. Tensors dual algebra and dual quaternions play a fundamental role, with the solution representation being the relative problem. Furthermore, the representation theorems for the rotation and translation parts of the 6-DOF relative orbital motion problems are obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/45d0389a2e154cbfae892b87377648eb Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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