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 -