George Reynolds summarizes his understanding of Kolob based on the BOA text; calls Kolob a "star."
George Reynolds, "The Book of Abraham—Its Genuineness Established. Chap. XII," The Latter-day Saints' Millennial Star 41, no. 12 (March 24, 1879): 178
The Book of Abraham teaches us:
1st. That Kolob is the greatest of all the stars that were seen by that patriarch.
That it is so because it is nearest to the celestial, or residence of God.
That it governs all the planets which belong to the same order as this earth.
That it is after the reckoning of the Lord's time.
That it is nigh unto the throne of God.
That it is after the manner of the Lord according to its times and seasons in the revolutions thereof.
That one revolution is a day unto the Lord.
That one day, in Kolob, is equal to a thousand years, according to the measurement of this earth.
That Kolob signifies first creation.
That it is the first in government, and last pertaining to the measurement of time. The measurement according to celestial time; which celestial time signifies one day to a cubit.