at one's (own) expense中等

Copernicus theorized in 1543 that in actual fact, all of the planets that we knew of revolved not around the Earth, but the Sun, a system that was later upheld by Galileo at his own expense.

哥白尼在1543年提出理论，认为事实上我们所知道的所有行星都不是绕地球而是绕太阳运转，这一体系后来被伽利略不惜付出个人代价加以维护。