Tethered satellite systems: A challenge for mechanics and applied mathematics

Michael Schwarzbart; Alois Steindl; Wolfgang Steiner; Hans Troger; Georg Wiedermann

doi:10.1002/gamm.200910008

Tethered satellite systems: A challenge for mechanics and applied mathematics

Michael Schwarzbart, Alois Steindl, Wolfgang Steiner, Hans Troger, Georg Wiedermann

Research Center Wels

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Tethered satellite systems that is two or more satellites in orbit connected by thin long cables, pose a number of challenging problems in mechanics concerning modeling and derivation of the equations of motion and in applied mathematics, concerning the numerical simulation of their dynamics, deciding on stability of relative equilibria and the proof of chaotic dynamics. We also compare for the practically important process of deployment of one satellite from another satellite uncontrolled deployment with steered deployment, according to Pontrijagin's Maximum Principle. Related to the stability of relative equilibria, as example the Space elevator, which is a tethered system extending from the surface of the Earth beyond geostationary height, is considered.

Original language	English
Pages (from-to)	105-120
Number of pages	16
Journal	GAMM Mitteilungen
Volume	32
Issue number	1
DOIs	https://doi.org/10.1002/gamm.200910008
Publication status	Published - Jun 2009

Keywords

Chaotic dynamics
Hamilton's principle
Optimal control
Reduced energy momentum method
Relative equilibrium
Stiff differential equations

Access to Document

10.1002/gamm.200910008

Cite this

@article{666c8e0804b54ef79744046ddf294415,

title = "Tethered satellite systems: A challenge for mechanics and applied mathematics",

abstract = "Tethered satellite systems that is two or more satellites in orbit connected by thin long cables, pose a number of challenging problems in mechanics concerning modeling and derivation of the equations of motion and in applied mathematics, concerning the numerical simulation of their dynamics, deciding on stability of relative equilibria and the proof of chaotic dynamics. We also compare for the practically important process of deployment of one satellite from another satellite uncontrolled deployment with steered deployment, according to Pontrijagin's Maximum Principle. Related to the stability of relative equilibria, as example the Space elevator, which is a tethered system extending from the surface of the Earth beyond geostationary height, is considered.",

keywords = "Chaotic dynamics, Hamilton's principle, Optimal control, Reduced energy momentum method, Relative equilibrium, Stiff differential equations",

author = "Michael Schwarzbart and Alois Steindl and Wolfgang Steiner and Hans Troger and Georg Wiedermann",

year = "2009",

month = jun,

doi = "10.1002/gamm.200910008",

language = "English",

volume = "32",

pages = "105--120",

journal = "GAMM Mitteilungen",

issn = "0936-7195",

publisher = "Wiley",

number = "1",

}

TY - JOUR

T1 - Tethered satellite systems

T2 - A challenge for mechanics and applied mathematics

AU - Schwarzbart, Michael

AU - Steindl, Alois

AU - Steiner, Wolfgang

AU - Troger, Hans

AU - Wiedermann, Georg

PY - 2009/6

Y1 - 2009/6

N2 - Tethered satellite systems that is two or more satellites in orbit connected by thin long cables, pose a number of challenging problems in mechanics concerning modeling and derivation of the equations of motion and in applied mathematics, concerning the numerical simulation of their dynamics, deciding on stability of relative equilibria and the proof of chaotic dynamics. We also compare for the practically important process of deployment of one satellite from another satellite uncontrolled deployment with steered deployment, according to Pontrijagin's Maximum Principle. Related to the stability of relative equilibria, as example the Space elevator, which is a tethered system extending from the surface of the Earth beyond geostationary height, is considered.

AB - Tethered satellite systems that is two or more satellites in orbit connected by thin long cables, pose a number of challenging problems in mechanics concerning modeling and derivation of the equations of motion and in applied mathematics, concerning the numerical simulation of their dynamics, deciding on stability of relative equilibria and the proof of chaotic dynamics. We also compare for the practically important process of deployment of one satellite from another satellite uncontrolled deployment with steered deployment, according to Pontrijagin's Maximum Principle. Related to the stability of relative equilibria, as example the Space elevator, which is a tethered system extending from the surface of the Earth beyond geostationary height, is considered.

KW - Chaotic dynamics

KW - Hamilton's principle

KW - Optimal control

KW - Reduced energy momentum method

KW - Relative equilibrium

KW - Stiff differential equations

UR - http://www.scopus.com/inward/record.url?scp=80052392973&partnerID=8YFLogxK

U2 - 10.1002/gamm.200910008

DO - 10.1002/gamm.200910008

M3 - Article

AN - SCOPUS:80052392973

SN - 0936-7195

VL - 32

SP - 105

EP - 120

JO - GAMM Mitteilungen

JF - GAMM Mitteilungen

IS - 1

ER -

Tethered satellite systems: A challenge for mechanics and applied mathematics

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this