Sanyal, A.K.Shen, JinglaiMcClamroch, N.H.2024-08-272024-08-272003-12Sanyal, A.K., Jinglai Shen, and N.H. McClamroch. “Dynamics and Control of an Elastic Dumbbell Spacecraft in a Central Gravitational Field.” In 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 3:2798-2803 Vol.3, 2003. https://doi.org/10.1109/CDC.2003.1273048.https://doi.org/10.1109/CDC.2003.1273048http://hdl.handle.net/11603/3576342nd IEEE International Conference on Decision and Control ,09-12 December 2003,Maui, HI, USAThe dynamics of a dumbbell shaped spacecraft are modeled as two identical mass particles connected by a linear elastic spring. The equations of motion of the spacecraft in a planar orbit in a central gravitational field are presented. The equations of motion characterize orbit, attitude, and shape (or elastic deformation) degrees of freedom and the coupling between them. Relative equilibria, corresponding to circular planar orbits, are obtained from these equations of motion. Linear equations of motion that describe perturbations from these relative equilibria are presented. New dynamics and control problems are introduced for these linear equations. Controllability results are presented for various actuation assumptions, based on the linear equations.6 pagesen-US© 2003 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.AerodynamicsAttitude controlCentralized controlEquationsGravityMotion controlShape controlSpace vehiclesSpringsWeight controlText