Dynamics of multibody chains in circular orbit: non-integrability of equations of motion

Author:

Maciejewski Andrzej J.,Przybylska Maria

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Reference18 articles.

1. Burov, A.A.: Oscillations of a vibrating dumbbell in an elliptic orbit. Dokl. Akad. Nauk. 437(2), 186–189 (2011)

2. Burov, A.A., Kosenko, I.I.: On the existence and stability of “orbitally uniform” rotations of a vibrating dumbbell in an elliptical orbit. Dokl. Akad. Nauk. 451(2), 164–167 (2013)

3. Burov, A.A., Nechaev, A.N.: On nonintegrability in the problem of the motion of a heavy double pendulum. In: Problems in the investigation of the stability and stabilization of motion, pp. 128–135, Ross. Akad. Nauk, Vychisl. Tsentr im. A. A. Dorodnitsyna, Moscow (in Russian) (2002). http://www.ccas.ru/depart/mechanics/TUMUS/z_SBORNIKI/Issues.html

4. Celletti, A., Sidorenko, V.: Some properties of the dumbbell satellite attitude dynamics. Celest. Mech. Dyn. Astron., 101(1–2), 105–126 (2008)

5. Guerman, A.D.: Equilibria of multibody chain in orbit plane. J. Guid. Control Dyn. 26(6), 942–948 (2003)

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1. Dynamics of constrained many body problems in constant curvature two-dimensional manifolds;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-09-17

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