Ruling · Rādhāṣṭamī · 2007

Thursday 20 September

Boundaryin Datong, under the Rashtriya Panchang method. Both middays qualify and the rule does not say which to take. Say “contested”.

Decide it for

40°06′ N 113°17′ E · Asia/Shanghai · GeoNames 2037799

The two middays

One ghaṭī is 24 minutes. Madhyāhna is 1 ghaṭikā either side of midday.

Midday of Wednesday 19 September

Qualifies with 45 of 48 minutes. Not taken.

madhyāhna begins 11:57  12:45 madhyāhna ends
Aṣṭamī begins 11:59:38
11:0911:3311:5712:2112:4513:0913:33

45 of 48 minutes covered, the last 45

Midday of Thursday 20 September

Taken. Both middays qualify; the rule is silent, and this one is covered longer.

madhyāhna begins 11:56  12:44 madhyāhna ends
Aṣṭamī ends 13:27:02
11:0811:3211:5612:2012:4413:0813:32

48 of 48 minutes covered

Aṣṭamī presentMadhyāhna, the window the rule readsThe instant the tithi begins or ends

How it was decided

  1. 01

    Aṅga

    Aṣṭamī runs from 12:00 on Wed 19 Sep to 13:27 on Thu 20 Sep.

    2007-09-19T03:59:39Z → 2007-09-20T05:27:02Z

  2. 02

    Kāla

    Madhyāhna is 1 ghaṭikā either side of midday: 11:57–12:45 on the 19th, 11:56–12:44 on the 20th.

    madhyahna: midday-pm-1-ghatika · sunrise and sunset: upper limb, 31′ + 16′

  3. 03

    Rule

    Aṣṭamī must be present during madhyāhna. It covers 45 of 48 minutes on the 19th and 48 of 48 on the 20th.

    Calendar Reform Committee 1955, General Rules for Religious Festivals, p. 103

  4. 04

    Tie-break

    Both middays qualify and the rule marks neither. The one covered longer is ruled, as a boundary.

    priority: unstated → greater-coverage · margin 187 s < 300 s

  5. 05

    Ruling

    Rādhāṣṭamī, Datong, 2007: Thursday 20 September.

    confidence: boundary (margin, tie-break-unstated)

Say it like this

In Datong, Rādhāṣṭamī 2007 falls on Thursday 20 September. Aṣṭamī runs from 12:00 on Wed 19 Sep to 13:27 on Thu 20 Sep and covers all of madhyāhna that midday. It also reaches the previous midday for 45 minutes; the rule does not say which to take, and the one covered longer is ruled: treat the date as contested. It is 3 min 07 s from a threshold: treat the date as contested.

ahargana.org/datong/festivals/2007/radhashtami · pac-rp@2026.1

Who says what

AuthorityKindDate
Ahargaṇa, pac-rpThis rulingThu 20 Sep
Ahargaṇa, classicalDisc centre, no refractionThu 20 Sep
compat-drikpanchangComparison profileThu 20 Sep
No institution has a recorded ruling for Datong.

Institutional rulings are recorded with a source address, and are never edited to agree.

The rule, as data

/rules/radhashtami · ruleset 2026.3-draft

Month
Bhādrapada, amānta
Pakṣa · aṅga
Śukla · Aṣṭamī
Kāla
Madhyāhna
Priority
Unstated
Tie-break
Longer coverage, as a boundary
Reference
CRC 1955, p. 103

“S 8 Durvastami (purvaviddha — S 8 of saura Bhadra except Bengal), Mahalaksmi vratarambha, Radhastami (madhyahna vyapini)” Calendar Reform Committee 1955, General Rules for Religious Festivals, p. 103.

The same rule, elsewhere

Twelve places, west to east. Local clock times.

PlaceAṣṭamīMadhyāhna 19thCoveredMadhyāhna 20thCoveredRuled
Los Angeles21:00 → 22:2712:2248 min12:220 min19 Sep
Chicago23:00 → 00:2712:2048 min12:200 min19 Sep
Jersey City00:00 → 01:2712:2648 min12:250 min19 Sep
Port of Spain00:00 → 01:2711:3648 min11:350 min19 Sep
London05:00 → 06:2712:3048 min12:300 min19 Sep
Durban06:00 → 07:2711:2648 min11:260 min19 Sep
Dubai08:00 → 09:2711:4948 min11:480 min19 Sep
Delhi09:30 → 10:5711:5148 min11:500 min19 Sep
Kolkata09:30 → 10:5711:0648 min11:060 min19 Sep
Singapore12:00 → 13:2712:3548 min12:3448 min19 Sep
Sydney14:00 → 15:2711:250 min11:2548 min20 Sep
Suva16:00 → 17:2711:370 min11:3648 min20 Sep
Profile · tradition
pac-rp@2026.1 · smarta
Rule
radhashtami@2026.3-draft
Engine · kernel
0.1.0 · de440 7eef…ea74
Boundary margin
300 s

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