{"id":"vidhyamitra:city-day:haridwar:-3187-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3187-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-09-20","date_display":"September 20, 3188 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":-3187,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557268.770833,"kali_year":-85,"ahargana":-31196.7292,"sun":{"sidereal_longitude":210.7077,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":63.1488,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4411,"elapsed_within_tithi_degrees":8.4411},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":63.1488,"elapsed_within_degrees":9.8155},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.8565},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":-3187,"month":9,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557268.770833,"ahargana":-31196.7292,"kali_year":-85,"ayanamsa_lahiri":-48.596,"grahas":{"sun":{"sidereal_longitude":210.7077,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":63.1488,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false,"latitude":2.2616},"mars":{"sidereal_longitude":205.0954,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":194.5958,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":273.7547,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":167.5244,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":33.2453,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":32.9528,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.9528,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":-3187,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557268.770833,"kali_year":-85,"ahargana":-31196.7292,"sun":{"sidereal_longitude":210.7077,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":63.1488,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4411,"elapsed_within_tithi_degrees":8.4411},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":63.1488,"elapsed_within_degrees":9.8155},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.8565},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.262,"elongation":147.559},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.262,"opposition_distance":32.441}},"eclipse_window_40days":[]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:50","sunsetLocal":"18:30","solarNoonLocal":"12:10","dayLengthHours":12.671725668131435,"dayLengthDisplay":"12 Hours 40 Mins 18 Secs","nightLengthDisplay":"11 Hours 19 Mins 42 Secs","moonriseLocal":"20:04","moonsetLocal":"08:36","rahuKala":{"name":"Rāhu Kāla","start":"16:55","end":"18:30","startHours":16.918501879523383,"endHours":18.502467588039814,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:10","end":"13:45","startHours":12.166604753974095,"endHours":13.750570462490526,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:20","end":"16:55","startHours":15.334536171006954,"endHours":16.918501879523383,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.787477909139046,"endHours":9.209868764743428,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:42","startHours":6.358730489413855,"endHours":6.6966431738973595,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:35","startHours":11.744213898369715,"endHours":12.588995609578475,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"04:59","startHours":4.141178497490854,"endHours":4.985960208699616,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:50","startHours":4.774764780897426,"endHours":5.8307419199083785,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.278559031996002,"endHours":15.123340743204764,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.302467588039814,"endHours":18.702467588039813,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:02","startHours":18.502467588039814,"endHours":19.03045615754529,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.252467588039814,"endHours":20.002467588039814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:35","startHours":23.744213898369715,"endHours":24.588995609578475,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:25","startHours":5.8307419199083785,"endHours":7.414707628424808,"quality":"inauspicious"},{"name":"Chala","start":"07:25","end":"09:00","startHours":7.414707628424808,"endHours":8.998673336941238,"quality":"neutral"},{"name":"Labha","start":"09:00","end":"10:35","startHours":8.998673336941238,"endHours":10.582639045457666,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:10","startHours":10.582639045457666,"endHours":12.166604753974095,"quality":"auspicious"},{"name":"Kāla","start":"12:10","end":"13:45","startHours":12.166604753974095,"endHours":13.750570462490526,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:20","startHours":13.750570462490526,"endHours":15.334536171006954,"quality":"auspicious"},{"name":"Roga","start":"15:20","end":"16:55","startHours":15.334536171006954,"endHours":16.918501879523383,"quality":"inauspicious"},{"name":"Udveg","start":"16:55","end":"18:30","startHours":16.918501879523383,"endHours":18.502467588039814,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:30","end":"19:55","startHours":18.502467588039814,"endHours":19.918501879523383,"quality":"auspicious"},{"name":"Roga","start":"19:55","end":"21:20","startHours":19.918501879523383,"endHours":21.334536171006956,"quality":"inauspicious"},{"name":"Udveg","start":"21:20","end":"22:45","startHours":21.334536171006956,"endHours":22.750570462490526,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:10","startHours":22.750570462490526,"endHours":24.166604753974095,"quality":"neutral"},{"name":"Labha","start":"00:10","end":"01:35","startHours":24.166604753974095,"endHours":25.582639045457668,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"03:00","startHours":25.582639045457668,"endHours":26.998673336941238,"quality":"auspicious"},{"name":"Kāla","start":"03:00","end":"04:25","startHours":26.998673336941238,"endHours":28.414707628424807,"quality":"inauspicious"},{"name":"Śubha","start":"04:25","end":"05:50","startHours":28.414707628424807,"endHours":29.830741919908377,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.8307419199083785,"endHours":6.8307419199083785,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.8307419199083785,"endHours":7.8307419199083785,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.8307419199083785,"endHours":8.830741919908379,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.830741919908379,"endHours":9.830741919908379,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.830741919908379,"endHours":10.830741919908379,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.830741919908379,"endHours":11.830741919908379,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.830741919908379,"endHours":12.830741919908379,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.830741919908379,"endHours":13.830741919908379,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.830741919908379,"endHours":14.830741919908379,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.830741919908379,"endHours":15.830741919908379,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.830741919908379,"endHours":16.830741919908377,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.830741919908377,"endHours":17.830741919908377,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.830741919908377,"endHours":18.830741919908377,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.830741919908377,"endHours":19.830741919908377,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.830741919908377,"endHours":20.830741919908377,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.830741919908377,"endHours":21.830741919908377,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.830741919908377,"endHours":22.830741919908377,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.830741919908377,"endHours":23.830741919908377,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.830741919908377,"endHours":24.830741919908377,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.830741919908377,"endHours":25.830741919908377,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.830741919908377,"endHours":26.830741919908377,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.830741919908377,"endHours":27.830741919908377,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.830741919908377,"endHours":28.830741919908377,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.830741919908377,"endHours":29.830741919908377,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.017264519260077,"eotMinutes":7.346914761554353,"ayanamsa":-48.596}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"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 Tṛtīyā · Vikram -3130 undefined · Śaka -3265 undefined"},"festivals":[],"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":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"haridwar"},"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, 3188 BCE · Haridwār · Vidhyamitra","description":"September 20, 3188 BCE for Haridwār: Kṛṣṇa Tṛtīyā, sūryodaya 05:50, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3187-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3187-09-20","sa":"https://sa.vidhyamitra.com/city/haridwar/-3187-09-20","hi":"https://hi.vidhyamitra.com/city/haridwar/-3187-09-20","x-default":"https://vidhyamitra.com/city/haridwar/-3187-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T23:12:52.829Z","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":"2026-08-11T23:12:52.829Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T23:12:52.829Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}