'areologically' originates from the modern English adjective 'areological', itself formed from the noun 'areology' + the adverbial suffix '-ly'. 'Areology' is built from the combining form 'Areo-' (ultimately referring to Ares/Mars) plus Greek-derived '-logy' meaning 'study of'.

'Areology' was coined in modern English (20th century usage) from the combining form referencing 'Ares'/'Mars' and the Greek '-logia' ('study'), producing 'areology'; this yielded the adjective 'areological' and then the adverb 'areologically'.

Initially it denoted study or matters pertaining specifically to Mars ('the study of Mars'), and over time the derivative forms have preserved that specialized meaning; 'areologically' now means 'in a manner relating to the study of Mars'.