Last Monday,our class went on an organized trip to a forest

Last Monday,our class went on an organized trip to a forest to study the wildlife
句子中to a forest to study the wildlife to study the wildlife 与介宾to a forest 是什么关系?麻烦顺便分析一下句子成分
如果to a forest是后置定语就应该修饰went on an organized trip 而不应该是trip，因为went on a trip是固定搭配，还有我认为organized应该是定语吧。一个名词怎么会有两个定语呢？希望姐姐哥哥们给予解决！