Grahaṇagaṇita - Gyan Bhandaar
This manuscript page from accession number 58923 contains content on jyotisha, the traditional Indian system of astronomy and astrology. The specific section focuses on grahanaganita, which deals with the mathematical calculations of eclipses. The text covers computational methods for predicting solar and lunar eclipses, an important branch of Indian astronomical science.
Sanskrit

Grahaṇagaṇita

This Sanskrit manuscript (Acc. No. 58923) presents a treatise on *Grahaṇagaṇita* (lunar eclipse computation), a specialized branch of Hindu mathematical astronomy (*Jyotiṣa*). The text contains algorithmic verses for calculating eclipse parameters—including *adhimāsa* (intercalary months), *madhyama-rāśi* (mean longitude), and *sparśa-sthiti* (contact and duration)—employing numerical constants (*guṇyas*) and sexagesimal values. Notable features include the invocation of Gaṇeśa and traditional planetary deities, the use of *bīja* (seed) numbers (3, 10, 11, 35, 56, 60, 139), and marginal annotations indicating *grāsa* (magnitude of obscuration). The fragment preserves technical terminology for eclipse phases (*sparśa*, *vimarda*, *mokṣa*) and demonstrates the computational methods of the *siddhānta* tradition, likely affiliated with the *Brahma* or *Sūrya* schools given its structural parallels to Bhāskara II's procedures.

Verses of the Grahaṇagaṇita on lunar computation and intercalary months
JyotishaNovember 15, 2025

Eclipse Arithmetic: Predicting When the Moon Vanishes

Grahaṇagaṇita is the eclipse branch of Indian astronomy — a short treatise of verses for computing intercalary months, mean longitudes, and the contact and duration of a lunar eclipse.