Geodesic
On the gravity of dumbbell-like bodies represented by a pair of intersecting balls
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 2, pp. 243-256

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The problem of the motion of a particle in the gravity field of a homogeneous dumbbell-like body composed of a pair of intersecting balls, whose radii are, in general, different, is studied. Approximation for the Newtonian potential of attraction is obtained. Relative equilibria and their properties are studied under the assumption of uniform rotation of the dumbbells.
Keywords: generalized planar two-bodies problem, asteroid-like systems, gravitating systems with irregular mass distribution, stability of steady motions, bifurcations of steady motions. 
@article{ND_2017_13_2_a6,
     author = {A. A. Burov and A. D. Guerman and I. I. Kosenko and V. I. Nikonov},
     title = {On the gravity of dumbbell-like bodies represented by a pair of intersecting balls},
     journal = {Russian journal of nonlinear dynamics},
     pages = {243--256},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_2_a6/}
}
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A. A. Burov; A. D. Guerman; I. I. Kosenko; V. I. Nikonov. On the gravity of dumbbell-like bodies represented by a pair of intersecting balls. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 2, pp. 243-256. http://geodesic.mathdoc.fr/item/ND_2017_13_2_a6/