A new object has been discovered in the solar system; it is a sphere with a radius of $0\mathrm{.}014$ R and a bondalbedo of $0\mathrm{.}54,$ the semimajor axis of its circular orbit is $3\mathrm{.}32$ AU$,$ the motion in the orbit is in the same sense of that of theEarth and other planets, it rotates every $13\mathrm{.}6$ hours, and it has retained, for billions of years, a thin atmosphere consisting offree electrons. What is the time between successive oppositions of this object? What can you deduce about the possible meandensity of the object?