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.
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.