What is the ruling on fasting and prayer, and how are they performed by a Muslim engineer if she ascends to the moon and the time of Ramadan is due?

Muslims in space are obligated to perform acts of worship just like others, and prayer and fasting are not waived for them. They must perform the five daily prayers within 24 hours, estimating their times by the hour, drawing an analogy from the Hadith about the Dajjal, in which the Prophet, peace be upon him, commanded the estimation of prayer times during long days. Similarly, they must fast Ramadan by estimating its beginning and end, and the times for abstaining from food (Imsak) and breaking the fast (Iftar) daily, analogous to how prayer times are estimated.