This is the 8613th most frequent Russian word.
ордену
"Ордену" is the dative form of "орден," meaning "to/for the order" (as in a medal or honor).
In this sentence, 'ордену' is the dative singular form of 'орден', used to indicate the indirect object receiving the respect.
Солдаты отдали честь ордену за доблесть.
The soldiers paid respect to the order for valor.
Here, 'ордену' is used again in the dative singular form, indicating whom the inheritance is directed towards.
Медалист наследовал ордену от предков.
The medalist inherited the order from his ancestors.
In this example, 'ордену' marks the dative case used to denote the entity experiencing the milestone.