Equally important calculation

Exploration Stage: Architect's Gardens
From: False Architect
Description: An astronomer also contributed to the creation of the "sunbeam". He used to study the effects of the stellar and lunar cycles on fog. Some of the functions of this device are also set up based on such cycles. Would you like to join us in the search for an astronomer's synchronization device?
Completed: Yes, this is it. When the "sunbeam" is activated, this astronomer's synchronization device controls the part of the sky that needs the power. It seems that when I activated the device, I accidentally broke this part.