This is the 11992nd most frequent Russian word.
звездной
"Звёздной" means "starry" or "stellar."
Here, 'звездной' (starry) is used as an adjective to describe the night as full of stars.
Эта ночь была звездной и ясно освещала всё вокруг.
This night was starry and brightly lit everything around.
In this sentence, 'звездной' (star-like) is employed poetically to describe a smile that is dazzling or bright, associating it with the brilliance of stars.
Актриса сияла звездной улыбкой на премьере.
The actress shone with a star-like smile at the premiere.
Here, 'звездной' (starry) metaphorically describes the dream, suggesting its grandeur or high ambition.