披星戴月的英文：
[Literal Meaning]
drape over one's shoulder/star/carry on the head/moon
to have starlight draped over one's shoulders and the moonlight on one's head

[解释]
连夜奔波或早出晚归，形容十分辛苦。

[Explanation]
to travel or toil night and day

[例子]
刘阳的家离工作单位非常远，每天他去工作都披星戴月，十分辛苦。

[Example]
Liu Yang's home was very far from his work place. Every day he went to work very early and felt very tired.

[英文等价词]
to keep late hours

The caravan traveled by night and day in order to reach their destination on time.
那支商队披星戴月赶路,以便按时到达目的地。