Geodesic
Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 4, pp. 505-512

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The motion of a solid (satellite) carrying a moving point mass in the central Newtonian gravitational field in an elliptical orbit of arbitrary eccentricity is considered. The law of motion of a point mass is assumed to allow for the existence of relative equilibria of the “body-point” system in the orbital coordinate system. A nonlinear stability analysis of these equilibria is carried out, based on the construction and normalization of the area-preserving mapping generated by the motions of the system.
Keywords: solid carrying a point mass, elliptical orbit, relative equilibrium, stability, resonance. 
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     author = {O. V. Kholostova},
     title = {Nonlinear {Stability} {Analysis} of {Relative} {Equilibria} of a {Solid} {Carrying} a {Movable} {Point} {Mass} in the {Central} {Gravitational} {Field}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {505--512},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2019_15_4_a9/}
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O. V. Kholostova. Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 4, pp. 505-512. http://geodesic.mathdoc.fr/item/ND_2019_15_4_a9/