A test of plausibility of eclipsing binary asteroids

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Asteroids, Astronomical Models, Light Curve, Two Body Problem, Albedo, Eclipses, Mathematical Models, Projection, Asteroids, Lightcurves, Ophelia Asteroid, Mathematical Models, Parameters, Binary Asteroids, Observations, Comparisons, Eclipses, Rotation, Pales Asteroid, Hestia Asteroid, Hebe Asteroid, Geometry, Albedo, Analysis

Scientific paper

An analytic method is presented for producing the lightcurve of a system of spherical bodies in circular orbit about their common center of mass and then use it to model a lightcurve of 171 Ophelia. A model in which the components have a diameter ratio of 1:2.96, have equal albedos, and circle one another in a synchronous orbit (period = 13.146 hr) inclined by 15 deg to the line of sight provides a reasonable fit to the observed lightcurve. An expression is given for the density in terms of the model parameters. If this lightcurve of Ophelia is produced by mutual eclipses of spherical components the mean density of the system cannot exceed 1.7 g/cu cm. It is concluded that it is possible for Ophelia to be binary.

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