Probably the companion star lies within the invariable plane (the
angular momentum plane of the solar system) inclined to the ecliptic
by 1.5 degrees. This would provide the most stability for the planetary
orbits.
There are good reasons why we do not see our dual star. It must be
very faint in all ranges of electromagnetic emission and located in
an area of the sky that “camouflages” it.
This basically rules out all types of stars except a black hole giving
off only small amounts of radiation or a brown dwarf. The area toward
the center of the galaxy is full of radiation, dust clouds, and background
noise, making it difficult to track a faint object moving at an angular
velocity around 50 arcsec per year.
So we are predicting that our binary companion will be found in an
elliptical patch centered around right ascension 17hr 45 minutes and
declination –22 degrees.
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