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The sphere that turns

भगोल · खगोल · भूगोल

Sanskrit astronomy has two words for the sphere over your head, and modern Indian schooling kept only one of them. खगोल khagola gave Hindi and Marathi their word for astronomy, खगोलशास्त्र; भगोल bhagola gave them nothing, and survives mainly in dictionaries. So an atlas called भगोल looks, at first glance, like it reached for the astronomy word and missed — or, to most readers, like a misspelling of भूगोल, the geography they did sit exams in.

It is neither. The two words name two different spheres, and the difference between them is the one thing a planetarium has to get right: which of them moves. Every quote below is a slice from Jñānakośa, the research database behind this atlas; each links to the e-text it was sliced from. Translations are literal renderings. Display markup of the e-texts is removed here.

One noun, three prefixes

गोल · the shared noun

गोल is not a technical term at all. It is a ball — the round thing — and the tradition named its spherical astronomy after it: Āryabhaṭa's fourth chapter is the Golapāda, the Sūrya-siddhānta's twelfth is the Bhūgolādhyāya, Bhāskara's book of spherics is simply the Golādhyāya. What is technical is the syllable in front. Āryabhaṭa puts three subjects in one compound as his spherics opens, and gives each of them a गोल of its own:

Āryabhaṭīya, Gola 5 · 499 CE
भूग्रहभानां गोल अर्धानि स्वछायया विवर्णानि । अर्धानि यथासारं सूर्याभिमुखानि दीप्यन्ते ।। ४.५ ।।
The half-spheres of the earth, the planets and the stars are darkened by their own shadow; the halves facing the sun shine, each according to its substance.

भूग्रहभानाम् — of the earth, of the planets, of the stars. That third member is the one that loses a modern reader: on its own, भ bha is a star, an asterism. It is the same bha that makes भगण bhagaṇa, one full revolution through the stars, and भचक्र bhacakra, the star-wheel. The Sūrya-siddhānta's pupil uses it in the first breath of his questions:

Sūrya-siddhānta 12.6 · c. 5th–8th c. CE
दिनाब्दमासहोराणां अधिपा न समाः कुतः । कथं पर्येति भगणः सग्रहो +अयं किं आश्रयः ।। १२.०६ ।।
Why are the lords of days, years, months and hours not the same? How does this troop of stars revolve, together with its planets, and on what does it rest?

ख kha, meanwhile, is space — the emptiness itself. Three prefixes, one noun, three entirely different objects:

bhagola, bhugola and khagola: one noun, three prefixes भगोल bha ‘star’ + gola ‘ball’ the sphere of the stars भूगोल bhū ‘earth’ + gola ‘ball’ the sphere of the earth खगोल kha ‘space’ + gola ‘ball’ the sphere of the sky
The compound is transparent in Sanskrit and opaque in English, which is the whole reason this page exists.

The sphere that holds still

ख · the space you stand in the middle of

Here is kha doing its work, in the verse usually quoted for Āryabhaṭa's cosmology. Read it for the architecture rather than the astronomy: a round cage of stars on the outside, the orbits wrapped inside that, space in the middle, and the earth standing at the centre of the space.

Āryabhaṭīya, Gola 6 · 499 CE
वृत्तभपञ्जरमध्ये कक्ष्यापरिवेष्टितस्खमध्यगतस् । मृद्जलशिखिवायुमयस्भूगोलस्सर्वतस्वृत्तस् ।। ४.६ ।।
In the middle of the round cage of stars, wrapped about by the orbits, standing at the middle of space — the earth-sphere, made of earth, water, fire and air, round on every side.
The earth-sphere at the centre of space, wrapped by the orbits, inside the cage of stars भपञ्जर the cage of stars ख empty space कक्ष्या the planets' orbits भूगोल the earth-sphere
भपञ्जर bha-pañjara, the cage of stars, is the bhagola under another name — the outermost shell of the model, with everything else inside it.

The khagola is that space taken as a sphere. For anyone standing on the earth in the middle of it, it is the frame: the horizon, the meridian, the prime vertical, the circles fixed to where you are rather than to anything in the sky. The Purāṇas already treat it as a subject in its own right, listed beside the earth's sphere and the wheel of lights as three things a teacher covers separately:

Padma-purāṇa 5.1.4 · c. 750–1000 CE
श्रीवात्स्यायन उवाच। शेषाशेष कथास्त्वत्तो जगत्सर्गलयादिकाः । भूगोलश्च खगोलश्च ज्योतिश्चक्रविनिर्णयः ४।
Śrī Vātsyāyana said: from you, O Śeṣa, [I have heard] the tales entire — the world's creation and dissolution and the rest, the earth-sphere and the sky-sphere, and the determination of the wheel of lights.

See: the same passage read as an instrument, in essay four

And the sphere that turns inside it

भगोल · परिवर्तते

The bhagola is the other cage — the stars themselves, set in a sphere. Āryabhaṭa's first remark about it is an observer's remark rather than a cosmologist's: you never get all of it, and you get slightly less than half, because you stand on the earth's surface and not at its centre.

Āryabhaṭīya, Gola 15 · 499 CE
भूव्यास अर्धेन ऊनं दृश्यं देशात्समात्भगोल अर्धम् । अर्धं भूमिछन्नं भूव्यास अर्धाधिकं च एव ।। ४.१५ ।।
From a level place, the visible half of the star-sphere is less by the earth's semi-diameter; and the half hidden by the earth is greater by that same semi-diameter.

Now the asymmetry that settles the question. Search the siddhāntas for what revolves, and the subject of the verb is never the khagola. It is this one. The Sūrya-siddhānta, deep in its account of the polar day, watches the direction of the turning reverse as you cross to the other hemisphere:

Sūrya-siddhānta 12.62 · c. 5th–8th c. CE
तदन्तरे +अपि षष्ट्यन्ते क्षयवृद्धी अहर्निशोः । परतो विपरीतो +अयं भगोलः परिवर्तते ।। १२.६२ ।।
In between too, at the end of the sixtieth [nāḍī], come the waning and waxing of day and night; beyond that, this star-sphere revolves reversed.

Āryabhaṭa makes the same observation with the same word, and gives the two poles their opposite views of it — gods on Meru in the north, the dead at Baḍavāmukha in the south, watching one sphere run in two directions:

Āryabhaṭīya, Gola 16 · 499 CE
देवास् पश्यन्ति भगोल अर्धं उदच्मेरुसंस्थितास्सव्यम् । अर्धं तु अपसव्यगतं दक्षिणबडवामुखे प्रेतास् ।। ४.१६ ।।
The gods, stationed on Meru in the north, see half the star-sphere moving leftward; the pretas, at Baḍavāmukha in the south, see the other half moving rightward.
The star-sphere seen turning leftward from Meru and rightward from Badavamukha मेरु the gods, in the north बडवामुख the pretas, in the south सव्य savya — leftward अपसव्य apasavya — rightward
One sphere, two poles, opposite directions — and in both texts the thing said to be turning is the bhagola.

The distinction, in wood

भूभगोल · one cage inside another

So the pair divides cleanly by what it does. One sphere is the frame you observe from, and it does not move; the other carries the stars and turns inside it.

The khagola's fixed circles, and the bhagola of stars turning inside them क्षितिज खगोल the circles that do not move भगोल everything that turns inside them
The division the app's layers make: Gol Yantra draws the khagola's circles; the stars, nakshatras and grahas are the bhagola turning through them.

In fairness, the crisp technical pairing of the two names belongs to the later spherics writers — Bhāskara's Golādhyāya works it out most fully, and that text is not in the corpus behind this atlas. What the corpus does carry is the asymmetry itself, and an instrument built on it.

The Sūrya-siddhānta's thirteenth chapter tells you to build the thing. Make an earth-globe of wood; run a rod through it and out both sides at Meru; hang the circles around it. And the name it gives the finished instrument welds both words together — भूभगोल, the earth-and-star sphere:

Sūrya-siddhānta 13.3–4 · c. 5th–8th c. CE
भूभगोलस्य रचनां कुर्यादाश्चर्यकारिणीम् । अभीष्टं पृथिवीगोलं कारयित्वा तु दारवम् ॥ १३.०३ ॥ दण्डं तन्मध्यगं मेरोरुभयत्र विनिर्गतम् । आधारकक्षाद्वितयं कक्षा वैषुवती तथा ॥ १३.०४ ॥
Let him make the wonder-working construction of the earth-and-star sphere. Having had the desired earth-globe made of wood, [set] a rod passing through its middle, projecting on both sides of Meru; a pair of support-circles, and likewise the equinoctial circle.
The bhu-bhagola: a wooden earth-globe on a rod, inside the instrument's rings दण्ड the rod, out both sides कक्षा वैषुवती the equinoctial circle आधारकक्षा the two support circles पृथिवीगोल the earth-globe, of wood
A गोल यन्त्र in its simplest form. The rings are held still and the sphere is read against them — which is exactly what a horizon does for you outdoors.

See: the rest of chapter thirteen, in essay four

The sidenote: the sphere underfoot

भूगोल · a note on the third

The third gola is the one every Indian reader actually met, and it is not about the sky at all. The Sūrya-siddhānta's twelfth chapter is titled the Bhūgolādhyāya, and it opens with Maya putting his questions to an emanation of the sun — every one of them about the ground:

Sūrya-siddhānta 12.2 · c. 5th–8th c. CE
भगवन्किम्प्रमाणा भूः किं आकारा किं आश्रया । किंविभागा कथं चात्र सप्तपातालभूमयः ।। १२.०२ ।।
Lord, of what measure is the earth? Of what shape, resting on what? How divided, and how do the seven nether earths stand within it?

That chapter went on to become a school subject: भूगोल is the ordinary modern word for geography in Hindi, Marathi, Gujarati and Bengali — the textbook, the map on the classroom wall, nothing in it pointing upward any more. It is also, for the same reason, the only गोल most readers have ever seen in print, which is why भगोल reads as a spelling mistake. It is not a mistake, and it is not the same word: भगोल turns up sixty verses further into that very chapter, at the point where the subject stops being the ground and starts being the sky.

भगोल — why the atlas is spelled this way

Of the three spheres, two found modern work. भूगोल took geography. खगोल took astronomy, and took it fairly: खगोलशास्त्र is a good name for the discipline, because the discipline really is about the frame — coordinates, circles, the machinery for saying where. भगोल got nothing, and it is the only one of the three that names what is actually up there: the stars, in a sphere, turning.

Which is what this atlas is a catalogue of. Not the frame but its contents — 975 names in 57 languages of South Asia for the objects on that turning sphere, each one cited to the source that recorded it. The app (Android, iPhone) draws the khagola too: the Gol Yantra layer is the armillary's own reference circles, the meridian and the prime vertical and the six o'clock circle, held still while everything else goes past them. But what it is about is the other sphere. Every quotation above carries its full citation, edition and revision-pinned source link in Jñānakośa.

The series

Sanskrit texts on the sky and the sciences around it, one thread per essay — readable in any order.

  1. Five stars the texts kept watching
  2. The sky that moved
  3. The shadow explained
  4. The instruments
  5. The cup that refills
  6. The wanderers
  7. The smoke-bannered
  8. The sphere that turns — you are here
  9. The nothing that counts
  10. The sum without end
  11. The pulverizer and the wheel
  12. Where should it fall?