Complex sentence: Scientific terminology, in particular the Latin names for stars, uses the Latin genitive form of the name of the constellation; thus, "Alpha Centauri", where "Centauri" is the genitive of constellation name "Centaurus".
Split into simpler sentences: Scientific terminology, in particular, the Latin names for stars uses the Latin genitive form of the name of the constellation. Thus "Alpha Centauri", where "Centauri" is the genitive of constellation name "Centaurus".