What does Badr mean?
Badr is the Arabic word for the full moon (the moon on its fourteenth night) and a Quranic name. The lunar meaning is literal and well attested.
What does Rigel mean?
The proper name of the bright blue star marking the foot of Orion, from Arabic 'rijl' ('foot', from 'Rijl Jauzah al-Yusra', 'the left foot of the giant'). The literal meaning is 'foot'; it is included as the proper name of a specific star.