We conduct a systematic analysis of scientific publications in the new research frontier dealing with exoplanets. Our main methodology is Latent Dirichlet allocation (LDA) used to identify latent themes diachronically. In this way, we identify top themes, their trends, and leading journals. Moreover, co-occurrence networks of country-country collaboration and institution-institution collaboration are drawn. In this way, we determine the scientific frontiers of exoplanet studies, and themes that received the most citations were found. The size of research teams, as shown by co-authors per article, has been growing over time. Going beyond publications, we find that few articles on exoplanets have been cited by patents and also few patents result from exoplanet research.