Tuesday is the day of Lord Hanuman and Hanuman puja is performed on this day. The puja can be remarkably effective when performed in early morning. This fast can be observed successfully to increase efforts, courage, strength and honor.
Hanuman Moola Mantra
Om Hanumate Namah॥
ॐ हनुमते नमः॥
Meaning:-
It is one of the most powerful success mantra(Karya siddhi mantra) of lord Hanuman. It is usually chanted religiously to overcome obstacles and problems in one’s life. It is highly suggested that those who are facing problems or obstacles in their life should chant at least once with devotion towards lord Hanuman. One who chants with devotion will be blessed with physical strength, power and stamina.

Tuesday Navagraha Sloka
DharaNee garbha Sambhootham
Vidhyuth Kānthi Samaprabham |
Kumāram Shakthi HasthanCha
Mangalam Pranamaamyaham ||
Meaning:-
Oh God! You are the one who is born to earth also radiates like the brilliance of thunderbolt. The son of Earth, Who has the divine powers in his hands. I pray to you the lord of kuja(Mangala)

Rahu
Ardhakāyam Mahāveeram
Chandhrādhithya Vimardhanam |
Simhikā Garbha Sambhootham
Tham Rāhum Pranamāmyaham ||
Meaning:-
Oh God! You are the one with half body, full of valor(signifying the dominance), You have the power to oppose and obstruct the sn and moon. Who is born as the son of Simhika(sister of the Hiranya Kashipa) I pray to you Lord Rahu
Kethu
Phalāsha Pushpsankāsham
Thārakāgraha Masthakam |
Raudhram Raudhrāthmakam Ghoram
Tham Kethum Pranamāmyaham ||
Meaning:-
Oh God! Who is shining in the colour of palasha flowers(flowers of the flame of forest tree), You are like the head to the stars and planets, Who is furious and terrifying to the wicked people. Oh Lord Ketu I bow and pray to you with devotion.