Researching the 1962 Sino-Indian war, I realized that understanding the events leading up to that war necessitate an understanding of the organization structure of the Indian Army. And the structure of the Indian Army is best represented using various UML diagrams!
First, the class model of the various field formations of the Indian Army:
Next a use case diagram (containing only actors) showing the various designations:
Finally, a structure diagram which emphasizes the hierarchical nature of the field formations and the reporting:
Finally, the grandest of all timescale – the Brahma Mana:
Here is the Surya Siddhantha definitions of Kalpa and Para:
Fourteen such Manus with their Sandhis (as mentioned before), constitute a Kalpa, at the beginning of which is the fifteenth Sandhi which contains as many years as a Krita does. – Chapter 1, Verse 19
Thus a thousand of the great Yugas make a Kalpa, a period which destroys the whole world. It is a day of the God Brahma, and his night is equal to his day. – Chapter 1, Verse 20
And the age of Brahma consists of a hundred years – according to the enumeration of day and night (mentioned in the preceding verse). – Chapter 1, Verse 21
This timescale moves beyond millions with the Kalpa being 4.32 Billion solar years and a Para being 311.04 Trillion solar years! These are clearly astronomical timescale – compare with the age of the Earth estimated by modern science at 4.54 Billion years and the age of the Universe estimated at 13.75 Billion years since the Big Bang.
That completes my series on the Surya Siddhantha.
I have already written about the time scales covered in the Prajapatya Mana in an earlier post, without using the nomenclature explicitly.
The Prajapatya Mana leverages the Divya Mana to build a grand timescale spanning millions of solar years as follows:
This model is best read from right to left:
- The basic building block of these long-count timescales is a Pada which is made up of 1200 Divya Varshas.
- Using the Padas four Yugas are constituted – Satya Yuga (4 Padas), Trita Yuga (3 Padas), Dwapara Yuga (2 Padas) and Kali Yuga (1 Pada)
- Each Yuga includes within itself a dawn and a twilight totaling a duration one sixth of the Yuga.
- These four Yugas are combined in order to form a Maha Yuga.
- Seventy one Maha Yugas are then combined to form a Manvantara.
- A Manvatara is followed by a period called a Sandhi which is as long as a Satya Yuga in duration.
A quick calculation reveals that the duration of a Maha Yuga is 4.32 Million solar years and that of a Manvantara is 306.72 Million solar years!
The Surya Siddhantha definitions are as follows:
After the 60 years cycle of Jupiter (Guror Mana) comes the 360 year timescale of the Gods.
The Divya Mana is modeled as follows:
The Surya Siddhantha defines the timescale of the Gods as follows:
…A solar year consists of twelve solar months and this is called a day of the Gods. – Chapter 1, Verse 14
An Ahoratra (day and night) of the Gods and that of the Demons are mutually the reverse of each other. Sixty Ahoratras multiplied by six make a year of the Gods and Demons. – Chapter 1, Verse 14
Now let us move into the longer timeframes, sarting with the Guror Mana (aka Bruhaspatya Mana).
The Surya Siddhantha defines Guror Mana as a timescale based on Jupiter’s orbital period around the earth multiplied five times:
…by the Māna of Jupiter is to be determined the year of the cycle of sixty years… – Chapter 14, Verse 2
Multiply the number of elapsed revolutions of Jupiter (in a Maha Yuga) by 12; to the product add the number of the signs from Mesha to that occupied by Jupiter; divide the mount by 60, and reckoning the remainder from Vijaya, you will find the present Samvatsara. – Chapter 1, Verse 55
The Surya Siddhantha places the lunar month in a separate timescale called Pitruvya Mana (the timescale of the ancestors) and even defines a day and night time for the Pitrus (ancestors), as follows:
A lunar month which consists of 30 lunar days is, as mentioned before, a day and night of the Pitrus [पित्रु]. The end of a (lunar) month and that of the light half of that month take place in the middle of them (the day and night of the Pitrus) respectively. – Chapter 14, Verse 14
For all practical purposes, the lunar month meanigfully belongs in the Chandra Mana, and this classification of Pirtuvya Mana has only religious importance to the Hindus.
The Surya Siddhantha correlates the lunar months and the solar months in somewhat indirect and rather complicated fashion, which is modeled below:
The correlation is defined in an innocuous fashion as follows:
Again Brahma, of subdued passions, divided a circle (the ecliptic), invented by himself, into 12 parts, naming it thr Rashi Vritta, and the same circle into 27 parts, naming it the Nakshatra Vritta. – Chapter 12, Verse 25
…The lunar months are named from the Nakshatras [नक्षत्र] (or asterisms) which take place (or in which the moon is) on the 15th day of these months. – Chapter 14, Verse 15
On the 15th day of (each of the lunar months) Kārtika and others, (either of every) couple of Nakshatras reckoned from Krittika takes place successively. (But on the 15th day of each of) the three months such as the last (i.e. Ashvina) and that coming before the last (i.e. Bhādrapada) and the fifth (i.e. Phālguna) one of three Nakshatras takes place. – Chapter 14, Verse 16