The launch came hours after US Secretary of State Rex Tillerson addressed a special meeting at the United Nations, calling for increased pressure on North Korea.

句子分析：

主语：The launch

谓语：came

时间状语从句： hours after US Secretary of State Rex Tillerson addressed a special meeting at the United Nations, calling for increased pressure on North Korea.

时间状语从句再分析：

hours修饰连词after，为连词的状语

US Secretary of State Rex Tillerson：从句的主语

addressed:从句的谓语

a special meeting at the United Nations：从句的宾语

calling for increased pressure on North Korea：从句的状语（伴随状语），calling的逻辑主语为从句的主语。