Vrat-Utsav Nirṇay · Grahan §118–120

Sūrya Grahan — Wednesday 12 August 2026
Bolton, United Kingdom

When the elderly and the unwell should stop eating — the calculation, the source text it comes from, and the resolution of the two competing readings.

01The answer

Children · Elderly · Unwell — stop eating
14:28BST · Wed 12 Aug

One prahar before sparśa, measured from the eclipse's first contact — per સ.જી. ૫.૧૯.૭૭. Precise value 14:28:01.

Everyone else — strict
03:29
4-prahar vedh. Start of night-prahar 4 of the preceding night.
Eat again
20:04
After mokṣa, having bathed. Same evening — this is not a grastāsta eclipse.
Case
Ordinary
Mokṣa precedes sunset by 40m 49s, so the clean disc is seen the same day.

02The eclipse at Bolton

Computed with Swiss Ephemeris for 53.5769° N, 2.4282° W. All times British Summer Time (UTC+1).

EventLocal timeNote
Sunrise05:43:41Start of day-prahar 1
Sparśa — first contact18:13:15Falls in day-prahar 4
Maximum19:10:0391.45% of the disc obscured
Mokṣa — last contact20:03:49End of puṇyakāl
Sunset20:44:3840m 49s after mokṣa → not grastāsta
Magnitude
0.9255
Threshold for aṅgulālpa (ignore the eclipse) is 0.0833 — cleared 11×.
Duration
1h 50m
Well over half a ghaḍī, so the eclipse is observed.
Sūtak
Applies
Visible locally, partial (not penumbral) — Rāhu darśan.

Is this eclipse observed at all?

§119 ન પાળવા યોગ્ય ગ્રહણ — "eclipses not to be observed" — gives four disqualifying tests. Each is checked below.

Test from the docThresholdBolton
Not visible in your regionVisibleobserved
Penumbral (māndya) eclipsePartialobserved
Aṅgulālpa — solar, under 1/12 of the disc< 0.08330.9255observed
Shorter than half a ghaḍī< 12 min110.6 minobserved

03The prahar frame

Everything downstream depends on this. The doc defines the day and the prahar explicitly, and it does not use clock hours — day-prahars and night-prahars are different lengths.

દિવસ = સૂર્યોદય થી સૂર્યાસ્ત  ·  રાત્રિ = સૂર્યાસ્ત થી સૂર્યોદય
દિવસમાં ⟶ ૪ પ્રહર  ·  રાત્રિમાં ⟶ ૪ પ્રહર
દિવસનો ૧ પ્રહર = દિનમાન ÷ ૪  ·  રાત્રિનો ૧ પ્રહર = રાત્રિમાન ÷ ૪

Day = sunrise to sunset · Night = sunset to sunrise. Four prahars in the day, four in the night. One day-prahar = daylength ÷ 4; one night-prahar = nightlength ÷ 4. §120 ગ્રહણનો વેધ — ગ્રહણ સ્પર્શ વેધ ગણિત
Sunset, 12 Aug20:44:38
Sunrise, 12 Aug05:43:41
=Dinamāna (day length)15:00:57
÷44
=One day-prahar3:45:14
One day-prahar
3h 45m 14s
Day length 15h 00m 57s ÷ 4
One night-prahar
2h 14m 14s
Night length 8h 56m 58s ÷ 4 (sunset 11 Aug 20:46:43 → sunrise 12 Aug)

Why this asymmetry matters. A day-prahar is 68% longer than a night-prahar on this date. That single fact explains why the doc computes the strict rule by a structural table rather than by subtraction — and it is the hinge of the whole §06 argument.

Day-prahar 1 Day-prahar 2 Day-prahar 3 Day-prahar 4 sparśa falls here 05:43:41 09:28:56 13:14:10 16:59:24 20:44:38 sunrise sunset sparśa 18:13:15 mokṣa 20:03:49 one prahar = 3:45:14 14:28:01 ✓ 13:14:10
Daylight on 12 August 2026 at Bolton, divided into four equal prahars. 14:28:01 is one prahar measured back from sparśa. 13:14:10 is the start of day-prahar 3 — the competing reading, examined in §06.

04The rule for the elderly and the unwell

Two consecutive bullets in §120. The first names the quantity; the second names the anchor and carries the scriptural citation.

બાળક, વૃદ્ધ અને રોગી માટે બન્ને ગ્રહણમાં ૧ પ્રહર વેધ માનવો.

"For children, the elderly and the sick, reckon a 1-prahar vedh in both eclipses." §120 · doc line 3554 — the author's summary bullet

સૂર્ય અને ચંદ્રના ગ્રહણ પ્રારંભથી એક યામ પહેલાં પૂર્વોક્ત બાળક, વૃદ્ધ અને રોગાતુરાદિકને ભોજન છોડી દેવું.

"One yāma before the start of the solar or lunar eclipse, the aforementioned children, elderly and ailing should give up eating." §120 · doc line 3555 · સ.જી. ૫.૧૯.૭૭ (Satsaṅgi Jīvan 5.19.77)

The anchor is stated in the ablative: ગ્રહણ પ્રારંભથીfrom the start of the eclipse. One yāma (= one prahar) is measured back from sparśa.

The calculation

Sparśa — first contact18:13:15
One day-prahar (15:00:57 ÷ 4)3:45:14
=Stop eating — children, elderly, unwell14:28:01

Sparśa at 18:13:15 sits inside day-prahar 4 (16:59:24 → 20:44:38). Subtracting one prahar lands at 14:28:01, inside day-prahar 3 — still within daylight, so the day-prahar length is the correct unit and the subtraction is unambiguous. This point does real work in §06.

05The strict rule — and how the doc computes it

The 4-prahar vedh that binds everyone not covered by the exemption. Its method is stated differently, and deliberately so.

સૂર્યગ્રહણ જે પ્રહરમાં સ્પર્શ થતું હોય તે પ્રહરથી (પ્રહરના પ્રારંભથી) ૪ પ્રહર પહેલા વેધારંભ માનવામાં આવે છે.

"Vedhārambha is reckoned four prahars before that prahar (from the start of the prahar) in which the solar eclipse's contact occurs." §120 · doc line 3513

The doc's vedh table, verified row by row

Every row is the same construction: same-numbered prahar of the opposite half of the day. I checked all four.

Sparśa falls inVedh begins at start of= 4 blocks back from the boundary?
દિવસ પ્રહર ૧રાત્રી પ્રહર ૧ (previous night) consistent
દિવસ પ્રહર ૨રાત્રી પ્રહર ૨ consistent
દિવસ પ્રહર ૩રાત્રી પ્રહર ૩ consistent
દિવસ પ્રહર ૪રાત્રી પ્રહર ૪ consistent — our case
Night-prahar 1 Night-prahar 2 Night-prahar 3 Night-prahar 4 20:46:43 23:00:57 01:15:12 03:29:27 05:43:41 sunset 11 Aug sunrise 12 Aug 03:29:27 — strict
Sparśa falls in day-prahar 4, so the table sends vedhārambha to the start of night-prahar 4 of the preceding night — 03:29:27 on 12 August. Night-prahars here are 2h 14m 14s, not 3h 45m 14s.
Sunrise, 12 Aug05:43:41
One night-prahar (8:56:58 ÷ 4)2:14:14
=Strict stop = start of night-prahar 403:29:27

0613:14 vs 14:28 — resolving it

A competing reading applies the strict rule's prahar-boundary convention to the 1-prahar case, giving the start of day-prahar 3 — 13:14:10. Both methods are set out below in full, step for step, from the same inputs.

The two methodologies, side by side

Method A · literal anchor

One prahar back from sparśa

Anchor: ગ્રહણ પ્રારંભથી — the eclipse's start
Source: સ.જી. ૫.૧૯.૭૭ (doc line 3555)

1
Day length — sunset minus sunrise
20:44:38 − 05:43:41
15:00:57
2
One day-prahar — દિનમાન ÷ ૪
3:45:14
3
Take the anchor: sparśa itself
18:13:15
4
Subtract one prahar from the anchor
18:13:15 − 3:45:14
14:28:01
Lands inside day-prahar 3 — same half of the day, so the day-prahar unit is correct throughout. No cross-boundary ambiguity.
Stop eating
14:28:01
Method B · boundary-aligned

One prahar block back from the prahar boundary

Anchor: પ્રહરના પ્રારંભથી — the prahar's start
Source: borrowed from the 4-prahar rule (doc line 3513)

1
Day length — sunset minus sunrise
20:44:38 − 05:43:41
15:00:57
2
One day-prahar — દિનમાન ÷ ૪
3:45:14
3
Identify the prahar containing sparśa, then take its start as the anchor
day-prahar 4 begins
16:59:24
4
Step back one whole prahar block
16:59:24 − 3:45:14 = start of day-prahar 3
13:14:10
?
Requires importing a convention the doc attaches only to the ૪-prahar and ૩-prahar rules, and overriding the anchor the relaxed rule actually names.
Stop eating
13:14:10
Both methods share steps 1–2 identically. They diverge at step 3 — the choice of anchor.
Difference: 1h 13m 51s
day-prahar 3 day-prahar 4 13:14:10 16:59:24 20:44:38 sparśa 18:13:15 A — 1 prahar from sparśa 14:28:01 B — 1 prahar from boundary 13:14:10
The same measurement — one prahar, 3h 45m 14s — laid off from two different anchors. Method A measures from sparśa itself. Method B measures from the start of the prahar that contains sparśa. The 1h 13m 51s gap is exactly the distance from the prahar boundary to sparśa.

Which one the evidence supports

Supported by the text
14:28:01
  • Anchor stated explicitly as ગ્રહણ પ્રારંભથી
  • Sourced to સ.જી. ૫.૧૯.૭૭
  • Well-defined without any extra convention
  • Matches the doc's own definition of vedh
Defensible, weaker
13:14:10
  • Reads ૧ પ્રહર વેધ as invoking the §120 table
  • Falls under the heading ગ્રહણ સ્પર્શ વેધ ગણિત
  • Requires overriding the anchor the text names
  • More conservative — 74 minutes earlier

01Identical grammar, deliberately different anchors

Both sentences use the frame [X]થી [N unit] પહેલાં — an ablative anchor, then a count back. The author names two different anchors within the same section:

AnchorCountResult
Strict (line 3513)તે પ્રહરથી (પ્રહરના પ્રારંભથી) — the prahar's start૪ પ્રહર પહેલા03:29:27
Relaxed (line 3555)ગ્રહણ પ્રારંભથી — the eclipse's startએક યામ પહેલાં14:28:01

In the strict rule the author adds a parenthetical gloss — (પ્રહરના પ્રારંભથી) — precisely because તે પ્રહરથી alone would be ambiguous. He adds no gloss to the relaxed rule because ગ્રહણ પ્રારંભથી is already unambiguous. To reach 13:14 you must read the relaxed rule's stated anchor as though it said the strict rule's anchor.

02The summary bullet doesn't compete — it's specified by the next one

The case for 13:14 rests on ૧ પ્રહર વેધ માનવો invoking the table. But that line supplies no anchor at all. It gives a magnitude; the next bullet supplies the anchor and the citation. This summary-then-source pattern is the author's habit throughout §120. The clinching parallel sits six lines above:

ચંદ્રનો ગ્રસ્તોદય થાય તો ૪ પ્રહર વેધ, માટે પૂર્વ દિવસે ભોજન કરવું નહીં.

"If the moon rises eclipsed then it is a 4-prahar vedh, therefore do not eat on the previous day." §120 · doc line 3548

Same N પ્રહર વેધ construction — and the operational consequence is spelled out in plain language, not by table lookup. So ૧ પ્રહર વેધ માનવો is the author naming a quantity, exactly as here. It is not a directive to run the table.

03The boundary convention exists out of necessity — and that necessity vanishes at N = 1

This is the load-bearing argument. Day-prahars and night-prahars are different lengths — 3h 45m 14s versus 2h 14m 14s on this date, a 68% gap.

Now try computing the strict rule by plain subtraction. From an 18:13 sparśa, four prahars back crosses sunrise into the previous night, where the unit changes size. Which four prahars? The question has no answer — a flat subtraction is genuinely undefined for N = 4. So the doc defines it structurally instead, and the table enumerates it.

At N = 1 the problem disappears. One prahar back from a sparśa in day-prahar 4 lands in day-prahar 3 — same half of the day, same unit length, perfectly well-defined. No convention is needed, which is exactly why the doc supplies none. The 13:14 reading imports a workaround built to solve a problem the relaxed rule does not have.

04The doc's own definition of vedh is offset-based, not block-based

The strongest argument for 13:14 is that vedh might mean "a whole block of time is contaminated," in which case you would stop at the block's boundary. The document's formal definition of the term says otherwise:

૧. પ્રાતઃકાળનો વેધ; સૂર્યોદય પછી ૩ મુહૂર્ત લગી પૂર્વતિથિનો બીજી તિથિને સ્પર્શ થાય તે.
વિદ્ધ = જોવે છે

"1. Morning vedh: when the previous tithi touches the second tithi within 3 muhūrtas after sunrise. — Viddha = it sees." § વેધ - પૂર્વવિદ્ધા તિથિ અને પરવિદ્ધા તિથિ · doc lines 3879–3888 · sourced to ધર્મસિંધુ-નિર્ણયસિંધુ

Vedh is contact occurring within a fixed duration measured from an anchor — 3 muhūrtas from sunrise or before sunset. A duration offset from a reference point, not a block alignment. And વિદ્ધ = જોવે છે — "viddha = it sees": one unit reaches across a span to another. That is structurally the 14:28 method.

What survives on the 13:14 side

Stated honestly: the boundary convention is introduced under the heading ગ્રહણ સ્પર્શ વેધ ગણિત — "computation of eclipse-contact vedh" — which reads as a general method statement. Someone could reasonably hold that the heading governs everything beneath it. That is a real argument, and it is why the document is not airtight.

But it is outweighed. The heading is followed immediately by two specific rules naming ૪ પ્રહર and ૩ પ્રહર — the convention attaches to those, and is never declared universal. It cannot override an explicit, differently-anchored, scripture-cited sentence about the very group in question.

Verdict — 14:28, at roughly 80/20 on the text as written. 13:14 remains a defensible conservative practice and no one is harmed by keeping it; it only means stopping 74 minutes earlier. But it is not what this document says.

07On the 13:04 figure

A third time was in circulation. It is wrong on two independent counts, and the two causes are separable.

Candidate formula testedTimevs 13:04
Day-midpoint at longitude 0° (Greenwich)13:04:27+27s
London day-midpoint13:05:01+1m 01s
Bolton day-midpoint (start of day-prahar 3)13:14:10+10m 10s
Bolton: sparśa − 1 prahar (this report)14:28:01+1h 24m 01s
Bolton: sparśa − flat 4h14:13:15+1h 09m
Bolton: sparśa − flat 3h15:13:15+2h 09m
Bolton: mokṣa − 1 prahar16:18:35+3h 15m

Nothing else comes within an hour. 13:04 is the day-midpoint computed at London's longitude — that is, the 13:14 reading, run for the wrong city.

Cause 1 — interpretation
1h 13m 51s
Boundary-aligned reading (13:14:10) instead of the literal anchor (14:28:01). A genuine textual disagreement — see §06.
Cause 2 — location
10m 10s
Computed at London / longitude 0° instead of Bolton at 2.4282° W. 2.4282° × 4 min/° = 9m 43s. Simply an error for anyone in Bolton.

If whoever produced 13:04 is using a panchang or app, it is set to London. Worth correcting regardless of which reading of the rule they prefer — it will be wrong for every future calculation too, not just this one.

08Verification

Astronomy — cross-checked against an independent source

ContactNirnay engine (Swiss Ephemeris)tutiempo.netΔ
First contact18:13:1518:13:087s
Maximum19:10:0319:09:567s
Last contact20:03:4920:03:436s
Obscuration91.45%92.5%≈1pp

Arithmetic — independently re-derived

Both food-stop times were recomputed by hand from the doc's stated method, working from the engine's raw Julian dates rather than its formatted output. Both matched to the second: 14:28:01 and 03:29:27.

What is and isn't verified. The astronomy is cross-verified against an independent source and the arithmetic is independently re-derived. The ruling — which reading of §120 governs, and therefore whether 14:28 or 13:14 is correct — is textual interpretation of this document, not calculation. If the sampradāya has a settled practice on this point, a shastri will simply know it, and that would beat reasoning from the document alone.

Known engine defects — worked around, not inherited

DefectEffectHandling here
ECLIPSE_RITUAL_TIMEZONE hardcoded to Asia/KolkataThe grastāsta test resolves the civil day in IST, so outside India the flag can silently stay false and invert the fasting rulingBoth boundary flags recomputed from raw contacts against timezone-free sunrise/sunset. Bolton is genuinely ordinary — mokṣa precedes sunset by 40m 49s, so the conclusion is unaffected either way.
astronomy.sunApparentAltitude returns 0 for local-partial casesUnderstates the sun's altitude (true value ≈ 13° at Bolton)Field not used or quoted anywhere in this report.

09Summary for Wednesday

WhoStop eatingEat againBasis
Children, elderly, unwell14:2820:04, after snān1-prahar vedh, સ.જી. ૫.૧૯.૭૭
Everyone else03:2920:04, after snān4-prahar vedh, §120 table

Puṇyakāl for japa and dān runs from 18:13:15 to 20:03:49 — the whole time the eclipse is visible, per ચંદ્રગ્રહણ-સૂર્યગ્રહણ જ્યાં સુધી દ્રષ્ટિથી દેખાતું હોય ત્યાં સુધી પુણ્યકાળ (line 3492).

This is an ordinary eclipse, not grastāsta. The fast breaks the same evening after mokṣa and bathing — there is no fasting through the night to the 13th.