Equilibria in the gravitational field of a triangular body |
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| Authors: | Alexander A Burov Anna D Guerman Vasily I Nikonov |
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| Institution: | 1.Federal Research Center “Computer Science and Control” of Russian Academy of Sciences,National Research University “Higher School of Economics”,Moscow,Russia;2.Centre for Mechanical and Aerospace Science and Technologies,University of Beira Interior,Covilh?,Portugal |
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| Abstract: | The existence, stability and bifurcation analysis is performed for equilibria of a material point in the gravitational field of three homogeneous penetrable balls fixed in absolute frame. The radii of the balls are assumed finite. In the case when the mass distribution admits a symmetry axis, analytic expressions are written out, allowing one to investigate the properties of equilibrium positions located both on the symmetry axis and outside it. The stability of solutions is studied; domains with different instability degree are described. |
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