For all the Surya and Chandra Grahanam (Solar & Lunar Eclipse) there is a slokam to be recited at least 28 times (or 108 times) at the beginning of Eclipse. This is for those who are born under a particular birth star (Nakshatra) in which the Eclipse occurs. This is the Grahana Shanthi parihara slokam, given for each Grahana or eclipse as below, in Sanskrit, Tamil and the phonetic English versus:

For Solar Eclipse (Surya Grahanam):

Click here to get the list of affected Nakshatra (stars) during Chandra - Surya Grahanam (Eclipses)

For Lunar Eclipse (Chandra Grahanam):

These slokam is to be recited as specified at the beginning of Eclipse and after the Eclipse is over, to take bath. There is also a practice to offer some Dakshina with Wheat for Surya Grahanam and Rice for Chandra Grahanam as shanthi paraharam offering to any Brahmin after the Grahanam. Only in those who are born in specific Stars (Nakshatra) need to perform this shanti pariharam.