Siddhanta Shiromani (Crown of Treatises)

Commentary on the Siddhanta Shiromani

...having been cast aside, the points of the Earth's zenith are described. Here, the Established Conclusion Siddhānta original: "Siddhānta"; refers to a formal astronomical treatise that uses mathematical logic to reach a conclusion. is stated regarding the Sun.

The Three Branches of the Science

In the Science of the Luminaries Jyotiḥ-śāstra, there is a division into three branches skandhas based on the methods of direct and retrograde motion:
1. Mathematics Gaṇita
2. Horoscopy Jātaka
3. Compendiums Saṃhitā

Within these, the Mathematical Branch Gaṇita-skandha is what is characterized as the Siddhānta.

In Praise of Astronomical Theory

Now, the praise of the Siddhānta: One may know the branches of Horoscopy Jātaka and General Compendiums Saṃhitā, but if they are not clever in examining the essence of the mathematical branch, they are of little use in answering questions. The logic and principles found in the Siddhānta are like the core of the tree, while Jātaka and Saṃhitā are merely the branches.

Just as a king is nothing without victory, or a kingdom is nothing without a king, or as a poem lacks beauty without cleverness, or a woman is without her beloved—so too do the learned consider the Science of the Luminaries Jyotiḥ-śāstra to be lusterless and incomplete if it is devoid of the Siddhānta (the mathematical foundation). This is clear.

Establishing Jyotiṣa as a Limb of the Vedas

Now, the demonstration of the Science of the Luminaries as a Limb of the Veda Vedāṅga:

The Vedas The most ancient and sacred scriptures of Hinduism. are truly directed toward the performance of Sacrificial Rites Yajña-karma. These rites are dependent upon Time Kāla. From this science (Astronomy), the determination of Time is achieved. Therefore, it is clear that Jyotiṣa is a limb of the Vedas.

As seen in the Vedic Mirror original: "Vedādarśa"; likely referring to a specific commentary or a figurative "reflection" of Vedic truth. regarding the New and Full Moon sacrifices, the primary Vedic rituals are set in motion through astronomy. These sacrifices, in turn, proceed according to the support of Time. For example, a ritual cannot be performed if the specific time (such as the season or the lunar day) is not known or has passed. This Time is beginningless and endless...