Step 1: Understanding the Concept:
The Vedanga Jyotisha represents the earliest stage of formalized astronomical observation in India, dating back to the late Vedic period (approx. 1400–1200 BCE). Its primary objective was to provide rules for determining the dates and times for the performance of Vedic sacrifices. It contains mathematical formulas for calculating the positions of the Sun and Moon throughout the year.
Step 2: Detailed Explanation of the Author:
The text itself, in its opening verses, pays homage to the sage who compiled this knowledge. Acharya Lagadha is the credited author who systematized the observations of the celestial sphere into a concise set of verses.
- The text exists in two major recensions: the Archajyotisha (associated with the Rigveda, containing 36 verses) and the Yajujyotisha (associated with the Yajurveda, containing 43 verses).
- Lagadha introduced the concept of the five-year Yuga cycle (Yugadhyaksha) to reconcile the solar and lunar calendars. He used units like 'Kala', 'Kastha', and 'Nadi' for time measurement and defined the 27 Nakshatras (lunar mansions).
Step 3: Elimination of Other Options:
1. Pingala: He is the author of the Chhandas Shastra (the Vedanga of prosody/metrics), not Jyotish.
2. Garga: A very famous ancient sage often called "Vridhha Garga," known for Garga Samhita. While a major figure in Jyotish history, he is not the author of the specific "Vedanga Jyotisha" text.
3. Marichi: One of the mind-born sons of Brahma (Prajapati) and a sage associated with the Saptarishi constellation, but not specifically the human author of the Vedanga manual.
Step 4: Final Answer:
Historical and textual tradition universally identifies Sage Lagadha as the progenitor of the Vedanga Jyotisha.