Dynamic analysis of a tethered satellite system with a moving mass
 Wonyoung Jung,
 Andre P. Mazzoleni,
 Jintai Chung
 … show all 3 hide
Rent the article at a discount
Rent now* Final gross prices may vary according to local VAT.
Get AccessAbstract
This paper presents a dynamic analysis of a tethered satellite system with a moving mass. A dynamic model with four degrees of freedom, i.e., a twopiece dumbbell model, is established for tethered satellites conveying a mass between them along the tether length. This model includes two satellites and a moving mass, treated as particles in a single orbital plane, which are connected by massless, straight tethers. The equations of motion are derived by using Lagrange’s equations. From the equations of motion, the dynamic response of the system when the moving mass travels along the tether connecting the two satellites is computed and analyzed. We investigate the global tendencies of the libration angle difference (between the two sections of tether) with respect to the changes in the system parameters, such as the initial libration angle, size (i.e. mass) of the moving mass, velocity of the moving mass, and tether length. We also present an elliptic orbit case and show that the libration angles and their difference increase as orbital eccentricity increases. Finally, our results show that a onepiece dumbbell model is qualitatively valid for studying the system under certain conditions, such as when the initial libration angles, moving mass velocity, and moving mass size are small, the tether length is large, and the mass ratio of the two satellites is large.
 Kirchgraber, U., Manz, U., Stoffer, D. (2000) Rigorous proof of chaotic behaviour in a dumbbell satellite model. J. Math. Anal. Appl. 251: pp. 897911 CrossRef
 Cho, S., Lovell, T.A., Cochran, J.E., Cicci, D.A. (2001) Approximate solutions for tethered satellite motion. J. Guid. Control Dyn. 24: pp. 746754 CrossRef
 Nakanishi, K., Kojima, H., Watanabe, T. (2011) Trajectories of inplane periodic solutions of tethered satellite system projected on van der Pol planes. Acta Astronaut. 68: pp. 10241030 CrossRef
 Mantri, P., Mazzoleni, A.P., Padgett, D.A. (2007) Parametric study of deployment of tethered satellite systems. J. Spacecr. Rockets 44: pp. 412424 CrossRef
 Williams, P. (2006) Libration control of tethered satellites in elliptical orbits. J. Spacecr. Rockets 43: pp. 476479 CrossRef
 Wen, H., Jin, D.P., Hu, H.Y. (2008) Advances in dynamics and control of tethered satellite systems. Acta Mech. Sin. 24: pp. 229241 CrossRef
 Steindl, A., Troger, H. (2003) Optimal control of deployment of a tethered subsatellite. Nonlinear Dyn. 31: pp. 257274 CrossRef
 Wen, H., Jin, D.P., Hu, H.Y. (2008) Optimal feedback control of the deployment of a tethered subsatellite subject to perturbations. Nonlinear Dyn. 51: pp. 501514 CrossRef
 Jin, D.P., Hu, H.Y. (2006) Optimal control of a tethered subsatellite of three degrees of freedom. Nonlinear Dyn. 46: pp. 161178 CrossRef
 Williams, P. (2008) Deployment/retrieval optimization for flexible tethered satellite systems. Nonlinear Dyn. 52: pp. 159179 CrossRef
 Cohen, S.S., Misra, A.K. (2009) The effect of climber transit on the space elevator dynamics. Acta Astronaut. 64: pp. 538553 CrossRef
 Woo, P., Misra, A.K. (2010) Dynamics of a partial space elevator with multiple climbers. Acta Astronaut. 67: pp. 753763 CrossRef
 Williams, P., Ockels, W. (2010) Climber motion optimization for the tethered space elevator. Acta Astronaut. 66: pp. 14581467 CrossRef
 Steindl, A., Troger, H. (2005) Is the skyhook configuration stable?. Nonlinear Dyn. 40: pp. 419431 CrossRef
 Fujii, H.A., Watanabe, T., Kusagaya, T., Sato, D., Ohta, M. (2008) Dynamics of a flexible space tether equipped with a crawler mass. J. Guid. Control Dyn. 31: pp. 436440 CrossRef
 Kojima, H., Sugimoto, Y., Furukawa, Y. (2011) Experimental study on dynamics and control of tethered satellite systems with climber. Acta Astronaut. 69: pp. 96108 CrossRef
 Title
 Dynamic analysis of a tethered satellite system with a moving mass
 Journal

Nonlinear Dynamics
Volume 75, Issue 12 , pp 267281
 Cover Date
 20140101
 DOI
 10.1007/s1107101310648
 Print ISSN
 0924090X
 Online ISSN
 1573269X
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Nonlinear dynamics
 Tethered satellites
 Dumbbell model
 Moving mass
 Libration angle
 Industry Sectors
 Authors

 Wonyoung Jung ^{(1)}
 Andre P. Mazzoleni ^{(2)}
 Jintai Chung ^{(1)}
 Author Affiliations

 1. Department of Mechanical Engineering, Hanyang University, Ansan, Kyeonggido, 425791, Republic of Korea
 2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, 27695, USA