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”, Nelin. Dinam., 2017, Volume 13, Number 2,Pages <nobr>243

This article is cited in 8 papers

Original papers

On the gravity of dumbbell-like bodies represented by a pair of intersecting balls

A. A. Burov^ab, A. D. Guerman^c, I. I. Kosenko^db, V. I. Nikonov^b

^a National Research University «Higher School of Economics», ul. Myasnitskaya 20, Moscow, 101000, Russia
^b Federal Research Center «Computer Science and Control», ul. Vavilova 40, Moscow, 119333, Russia
^c Centre for Aerospace Science and Technologies, University of Beira Interior, Convento de Sto. António. 6201-001 Covilhã, Portugal
^d Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993, Russia

Abstract: 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.

UDC: 531.5

MSC: 70K20, 70K42, 70F05

Received: 15.03.2017
Accepted: 02.06.2017

DOI: 10.20537/nd1702007