Summary
In this paper we describe a new model consisting of N articulated rigid bodies with open chain structure, that move in the combined gravitational field of two mutually attracting massive centers. We derive the general equations of motion of the chain and we study the conditions for the planar motion of the individual centers of mass of the links.
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References
J. A. Beck C. D. Hall (1998) ArticleTitleRelative equilibria of a rigid satellite in a circular Keplerian orbit J. Astronaut. Sci. 46 215–247 Occurrence Handle1702494
A. A. Burov H. Troger (1998) ArticleTitleOn relative equilibria of a tethered gyrostat in a central Newtonian field J. Appl. Math. Mech. (PMM) 62 971–974 Occurrence Handle1688652 Occurrence Handle10.1016/S0021-8928(98)00124-5
A. Elipe V. Lanchares (1997) ArticleTitleTwo equivalent problems: gyrostats in free motion and parametric Hamiltonians Mech. Res. Comm. 24 583–590 Occurrence Handle0930.70007 Occurrence Handle1492374 Occurrence Handle10.1016/S0093-6413(97)00074-8
A. Elipe M. Arribas A. Riaguas (1997) ArticleTitleComplete analysis of bifurcations in the axial gyrostat problem J. Phys. A: Math. General 30 587–601 Occurrence Handle0963.70522 Occurrence Handle1442877 Occurrence Handle10.1088/0305-4470/30/2/021
J. M. Ferrandiz M. E. Sansaturio R. Caballero (1993) ArticleTitleOn the roto-translatory motion of a satellite of an oblate primary Celest. Mech. 57 189–202 Occurrence Handle0784.70023 Occurrence Handle10.1007/BF00692473
Hughes, S. P., Hall, C. D.: Mission performance measures for spacecraft formation flying. Flight Mechanics Symposium, Goddard Space Flight Center, May 18–20, 1999.
T. J. Kalvouridis V. Tsogas (2002) ArticleTitleRigid body dynamics in the restricted ring problem of N+1 bodies Astrophys. Space Sci. 282 751–765 Occurrence Handle10.1023/A:1021144514396
L. Meirovitch (1970) Methods of analytical dynamics McGraw-Hill New York Occurrence Handle02119070
D. Michalakis A. G. Mavraganis (1995) ArticleTitleThe equilibrium configurations of the restricted problem of 2+2 triaxial rigid bodies Celest. Mech. Dyn. Astr. 63 81–100 Occurrence Handle0886.70010 Occurrence Handle1386968 Occurrence Handle10.1007/BF00691916
A. Milani A. La Spina M. E. Sansaturio S. R. Chesley (2000) ArticleTitleThe asteroid identification problem III: proposing identifications Icarus 144 39–53 Occurrence Handle10.1006/icar.1999.6261
R. A. Sandfry C. D. Hall (2003) ArticleTitleRelative equilibria of a prolate gyrostat with discrete damper J. Astronaut. Sci. 50 367–387 Occurrence Handle2015297
V. Szebehely (1967) Theory of orbits Academic Press New York Occurrence Handle0697.70003
X. Tong B. Tabarrok F. P. J. Rimrott (1995) ArticleTitleChaotic motion of an asymmetric gyrostat in the gravitational field Int. J. Non-Linear Mech. 30 191–203 Occurrence Handle0837.70004 Occurrence Handle1336909 Occurrence Handle10.1016/0020-7462(94)00049-G
V. Tsogas T. J. Kalvouridis A. G. Mavraganis (2005) ArticleTitleEquilibrium states of a gyrostat satellite moving in the gravitational field of an annular configuration of N big bodies Acta Mech. 175 181–195 Occurrence Handle1066.70017 Occurrence Handle10.1007/s00707-004-0189-8
A. L. Whipple (1984) ArticleTitleEquilibrium solutions of the restricted problem of (2+2) bodies Celest. Mech. 33 271–294 Occurrence Handle0578.70007 Occurrence Handle766092 Occurrence Handle10.1007/BF01230509
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Mavraganis, A.G., Kalvouridis, T.J. Motion of N articulated rigid bodies with chain structure in the field of two mutually attracting massive centers: General formalism and a survey of the chain's planar motion. Acta Mechanica 186, 173–186 (2006). https://doi.org/10.1007/s00707-006-0355-2
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DOI: https://doi.org/10.1007/s00707-006-0355-2