As the liner notes for 
To Our Children's Children's Children explain, "the imminent landing of the first man on the moon proved a major source of inspiration to the band."  This is probably most evident in "Higher and Higher."  It's obvious, but I'm going to note it anyway: to reflect the title, various elements in the music ascend.  The line "Climbing to tranquility far above the cloud" references 
Tranquility Base, the location on the moon where the astronauts landed.