The phrase "alternately about" is not standard in written English and may cause confusion.
It could be used in contexts where you want to indicate a change in focus or topic between two or more subjects.
Example: "The discussion alternately about climate change and economic policies left many participants feeling overwhelmed."
Alternatives: "back and forth regarding" or "switching between topics of".
Danish astronomer Ole Rømer used that idea in 1676 to explain why the eclipses of the satellites of Jupiter appear to run alternately about 10 minutes ahead of or behind schedule over the course of a year.
She heated up soup for herself and dumped half a bag of broken saltines into it and ate standing over the kitchen sink looking out the window into the dark thinking alternately about her dead steer and her thousand-dollar tax refund.
Throughout the book he frets alternately about whether he will or won't be recognized, and he carries -- and once or twice makes use of -- an actual "fame kit" that he had his staff put together for him.
Some with knowledge of the fighting were alternately regretful about recent blunders and optimistic about the final outcome.
In a pair of national television appearances in a 12-hour span, the vice president alternately joked about making a "major announcement" about his plans and made a serious case as to why he deserves to move into the Oval Office.
Sounding alternately vulnerable about his past negligence and confident about Facebook's strategy going forward, Zuckerberg took nearly an hour of tough questions.
Before the Knicks faced the Indiana Pacers, Coach Isiah Thomas alternately talked about what it takes to win a title and about how rare it is to win one.
But no matter how many interviews Raines conducted, Bettelheim withheld meaningful details -- alternately talking about his life in the abstract, distanced manner in which he wrote about it, and delivering canned (and sometimes questionable) anecdotes familiar from earlier biographies.
In an interview, he alternately talked about the potential of this year's group as well as the risks.
Investors have been alternately skittish about earnings and the economy and optimistic that business will improve in the second half of the year.
They are alternately confident about its chances to contend for a title and resigned to the idea that they will be let down in the end.
