The Latin verb
means to 'go around'. Circumambiate is not a commonly used verb in English, however the adjective circumambient meaning 'surrounding' does have enough use to appear in dictionaries.
The following text from http://www.hyponoesis.org/Essays/Essay/e033 gives an interesting comparison of 3 Latin verbs with circum- as their prefix where the English equivalents are adverbs:
This process of approximation to the target pattern proceeds
circumstantially (Lat. circum-stare = stand around), circumambiently
(Lat. circum-ambire = to go around) or circumferentially (Lat.
cirum-ferre = carry around), that is from all sides, surrounding the
target pattern, encircling it more and more, until having become
united with the core of the target pattern
Note that of the 3 English adjectives in the passage above, circumstantiate exists as a verb of circumstantial.