An electron is more flexible in its internal structure than a soap bubble so BLP claims it does all possible great circle orbits all at once. The charge distribution does not change over time so there is no radiating away of energy even though the charge is all moving and orbiting. There are a bunch of spreadsheets calculating Helium states on the Atomic Theory page. https://brilliantlightpower.com/atomic-theory/ has a table of contents that includes Excited States Of Helium in chapter 9 page 301.