{"id":"vidhyamitra:city-day:dwarka:-3181-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/-3181-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-09-20","date_display":"September 20, 3182 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3181,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559459.770833,"kali_year":-79,"ahargana":-29005.7292,"sun":{"sidereal_longitude":210.1472,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":127.7805,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.6333,"elapsed_within_tithi_degrees":1.6333},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.7805,"elapsed_within_degrees":7.7805},"yoga":{"number":26,"name":"Indra","sum_longitude":337.9277},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3181,"month":9,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559459.770833,"ahargana":-29005.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5122,"grahas":{"sun":{"sidereal_longitude":210.1472,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":127.7805,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.3104},"mars":{"sidereal_longitude":249.52,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":191.5192,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":124.2069,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":255.3163,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":123.7706,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":276.8631,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":96.8631,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3181,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559459.770833,"kali_year":-79,"ahargana":-29005.7292,"sun":{"sidereal_longitude":210.1472,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":127.7805,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.6333,"elapsed_within_tithi_degrees":1.6333},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.7805,"elapsed_within_degrees":7.7805},"yoga":{"number":26,"name":"Indra","sum_longitude":337.9277},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.31,"elongation":82.367},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.31,"opposition_distance":97.633}},"eclipse_window_40days":[]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"06:31","sunsetLocal":"19:02","solarNoonLocal":"12:47","dayLengthHours":12.515886640923096,"dayLengthDisplay":"12 Hours 30 Mins 57 Secs","nightLengthDisplay":"11 Hours 29 Mins 03 Secs","moonriseLocal":"00:35","moonsetLocal":"14:00","rahuKala":{"name":"Rāhu Kāla","start":"17:28","end":"19:02","startHours":17.473102244320255,"endHours":19.037588074435643,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:47","end":"14:21","startHours":12.779644753974097,"endHours":14.344130584089484,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:55","end":"17:28","startHours":15.908616414204868,"endHours":17.473102244320255,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:52","startHours":9.442074983061271,"endHours":9.859271204425374,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:03","end":"07:23","startHours":7.043196710217677,"endHours":7.376953687308959,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:12","startHours":12.362448532609992,"endHours":13.196840975338198,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:41","startHours":4.852916548056135,"endHours":5.6873089907843415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:31","startHours":5.478710880102289,"endHours":6.521701433512548,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:42","startHours":14.865625860794612,"endHours":15.70001830352282,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.837588074435644,"endHours":19.237588074435642,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:34","startHours":19.037588074435643,"endHours":19.55908335114077,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.787588074435643,"endHours":20.537588074435643,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:12","startHours":24.362448532609992,"endHours":25.1968409753382,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:31","end":"08:05","startHours":6.521701433512548,"endHours":8.086187263627934,"quality":"inauspicious"},{"name":"Chala","start":"08:05","end":"09:39","startHours":8.086187263627934,"endHours":9.650673093743322,"quality":"neutral"},{"name":"Labha","start":"09:39","end":"11:13","startHours":9.650673093743322,"endHours":11.21515892385871,"quality":"auspicious"},{"name":"Amṛta","start":"11:13","end":"12:47","startHours":11.21515892385871,"endHours":12.779644753974097,"quality":"auspicious"},{"name":"Kāla","start":"12:47","end":"14:21","startHours":12.779644753974097,"endHours":14.344130584089484,"quality":"inauspicious"},{"name":"Śubha","start":"14:21","end":"15:55","startHours":14.344130584089484,"endHours":15.908616414204868,"quality":"auspicious"},{"name":"Roga","start":"15:55","end":"17:28","startHours":15.908616414204868,"endHours":17.473102244320255,"quality":"inauspicious"},{"name":"Udveg","start":"17:28","end":"19:02","startHours":17.473102244320255,"endHours":19.037588074435643,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:02","end":"20:28","startHours":19.037588074435643,"endHours":20.473102244320255,"quality":"auspicious"},{"name":"Roga","start":"20:28","end":"21:55","startHours":20.473102244320255,"endHours":21.908616414204868,"quality":"inauspicious"},{"name":"Udveg","start":"21:55","end":"23:21","startHours":21.908616414204868,"endHours":23.344130584089484,"quality":"inauspicious"},{"name":"Chala","start":"23:21","end":"00:47","startHours":23.344130584089484,"endHours":24.779644753974097,"quality":"neutral"},{"name":"Labha","start":"00:47","end":"02:13","startHours":24.779644753974097,"endHours":26.21515892385871,"quality":"auspicious"},{"name":"Amṛta","start":"02:13","end":"03:39","startHours":26.21515892385871,"endHours":27.650673093743322,"quality":"auspicious"},{"name":"Kāla","start":"03:39","end":"05:05","startHours":27.650673093743322,"endHours":29.086187263627934,"quality":"inauspicious"},{"name":"Śubha","start":"05:05","end":"06:31","startHours":29.086187263627934,"endHours":30.521701433512547,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.521701433512548,"endHours":7.521701433512548,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.521701433512548,"endHours":8.521701433512547,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.521701433512547,"endHours":9.521701433512547,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.521701433512547,"endHours":10.521701433512547,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.521701433512547,"endHours":11.521701433512547,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.521701433512547,"endHours":12.521701433512547,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.521701433512547,"endHours":13.521701433512547,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.521701433512547,"endHours":14.521701433512547,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.521701433512547,"endHours":15.521701433512547,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.521701433512547,"endHours":16.521701433512547,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.521701433512547,"endHours":17.521701433512547,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.521701433512547,"endHours":18.521701433512547,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.521701433512547,"endHours":19.521701433512547,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.521701433512547,"endHours":20.521701433512547,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.521701433512547,"endHours":21.521701433512547,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.521701433512547,"endHours":22.521701433512547,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.521701433512547,"endHours":23.521701433512547,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.521701433512547,"endHours":24.521701433512547,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.521701433512547,"endHours":25.521701433512547,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.521701433512547,"endHours":26.521701433512547,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.521701433512547,"endHours":27.521701433512547,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.521701433512547,"endHours":28.521701433512547,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.521701433512547,"endHours":29.521701433512547,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.521701433512547,"endHours":30.521701433512547,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.198849110463632,"eotMinutes":7.346914761554353,"ayanamsa":-48.5122}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Vṛścika Saṅkrānti is not live yet; Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"dwarka"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 20, 3182 BCE · Dvārakā · Vidhyamitra","description":"September 20, 3182 BCE for Dvārakā: Kṛṣṇa Navamī, sūryodaya 06:31, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/-3181-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/-3181-09-20","sa":"https://sa.vidhyamitra.com/city/dwarka/-3181-09-20","hi":"https://hi.vidhyamitra.com/city/dwarka/-3181-09-20","x-default":"https://vidhyamitra.com/city/dwarka/-3181-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-09T00:57:38.622Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-09T00:57:38.622Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-09T00:57:38.622Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}