Synonyms for Meditate (same or very similar meaning)
WordNet sense 1 (think intently and at length, as for spiritual purposes):
contemplate, studyWordNet sense 2 (reflect deeply on a subject):
mull, muse, ponder, reflect, ruminate, speculate, excogitate, chew over, mull over, think overFrom the ODE community, based on WordNetadd/edit