Mangalacharana: Salutation to Ganesha, Remover of Obstacles
गौरीशवः केतकपत्रभङ्गमाकृष्य हस्तेन ददन्मुखाग्रे। विघ्नं मुहूर्त्तकलितद्वितीयदन्तप्ररोहो हरतु द्विपास्यः
Invocation: May Ganesha — elephant-faced, who draws out a ketaka-flower petal from Parvati's ear and holds it to his lips like his second sprouting tusk for a muhurta — remove all our obstacles. [per Awasthi Tika]
Grantha Prarambha: Rama Daivajna Composes Muhurta Chintamani
क्रियाकलापप्रतिपत्तिहेतुं संक्षिप्तसारार्थविलासगर्भम्। अनन्तदैवज्ञसुतः स रामो मुहूर्त्तचिन्तामणिमातनोति
Anantadaivajna's son, Rama, extends (composes) the Muhurta Chintamani — a work that is the cause of rightly performing rites such as Jatakarma, holding essential meaning in brief words with graceful charm, teaching what muhurtas are auspicious and what are not. [per Awasthi Tika]
Lords of the Fifteen Tithis (Tithi Devatas)
तिथीशा वह्निकी गौरी गणेशोऽहिर्गुहो रविः। शिवो दुर्गान्तको विश्वे हरिः कामः शिवः शशी
The lords of the fifteen tithis in order from Pratipada are: Agni, Brahma, Gauri (Parvati), Ganesha, the Serpent (Naga), Guha (Kartikeya), Surya, Shiva, Durga, Antaka (Yama), Vishvedeva, Hari (Vishnu), Kamadeva, Shiva, and Shashi (Moon); Amavasya belongs to the Pitris. Worship or installation performed under the tithi whose lord presides over that deity bears auspicious fruit. [per Awasthi Tika]