1. Association with Mars (Mangal)

Tuesday is governed by the planet Mars (Mangal), which represents power, strength, courage, and aggression. Lord Hanuman embodies these qualities, making Tuesday a fitting day to honor him. Devotees seek his blessings for strength, protection, and the ability to overcome obstacles.

2. Hanuman's Role in the Ramayana

Hanuman's unwavering devotion and his role in helping Lord Rama during the Ramayana's events highlight his divine strength and commitment. Tuesday is chosen to commemorate his loyalty, as his efforts played a significant role in the battle against Ravana.

3. Protection from Difficulties

Devotees believe that worshipping Hanuman, especially on Tuesdays, helps in warding off evil, misfortunes, and overcoming personal struggles. It’s a day when people visit Hanuman temples and recite Hanuman Chalisa or other hymns dedicated to him.

4. Traditional Practices

Tuesday has long been a traditional day for many to fast or perform specific rituals in honor of Hanuman, seeking his guidance in dealing with life's challenges, both spiritual and physical.

Thus, Tuesday is a special day of devotion to Hanumanji, particularly for those seeking strength, courage, and protection from negative influences.