During the eclipse, some atonements/remedies are done for those who are born under certain stars and who are affected by the eclipse. What are the practices of our elders in this matter?

As per our sampradayam, the remedy we follow is to light up one more lamp along with the lamp that we lit before Perumal every day. If need be, we can go to the temple the next day after the eclipse and offer archanai to Emperuman.