{"id":"vidhyamitra:city-day:haridwar:-3181-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3181-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-12-31","date_display":"December 31, 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":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559561.770833,"kali_year":-79,"ahargana":-28903.7292,"sun":{"sidereal_longitude":314.4045,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":38.4936,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.0891,"elapsed_within_tithi_degrees":0.0891},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.4936,"elapsed_within_degrees":11.8269},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.8981},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":12,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559561.770833,"ahargana":-28903.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5083,"grahas":{"sun":{"sidereal_longitude":314.4045,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":38.4936,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":3.5909},"mars":{"sidereal_longitude":327.9497,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":292.8461,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":118.6748,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":319.1866,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":119.4891,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":271.4587,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.4587,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":-3181,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559561.770833,"kali_year":-79,"ahargana":-28903.7292,"sun":{"sidereal_longitude":314.4045,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":38.4936,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.0891,"elapsed_within_tithi_degrees":0.0891},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.4936,"elapsed_within_degrees":11.8269},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.8981},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.591,"elongation":84.089},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.591,"opposition_distance":95.911}},"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":"07:14","sunsetLocal":"17:27","solarNoonLocal":"12:21","dayLengthHours":10.221614813220853,"dayLengthDisplay":"10 Hours 13 Mins 18 Secs","nightLengthDisplay":"13 Hours 46 Mins 42 Secs","moonriseLocal":"12:03","moonsetLocal":"23:50","rahuKala":{"name":"Rāhu Kāla","start":"13:37","end":"14:54","startHours":13.621025767049364,"endHours":14.898727618701969,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:31","startHours":7.23251650878633,"endHours":8.510218360438937,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:04","startHours":9.787920212091542,"endHours":11.06562206374415,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.617559965204528,"endHours":9.958280458978557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.658417126003865,"endHours":7.930993521023088,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":12.002603421622727,"endHours":12.684044409170784,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.869634533690216,"endHours":6.551075521238273,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.3807152743512585,"endHours":7.23251650878633,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.046926384266898,"endHours":14.728367371814954,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.254131322007183,"endHours":17.65413132200718,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.454131322007182,"endHours":17.88003193922472,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.204131322007182,"endHours":18.954131322007182,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":24.002603421622727,"endHours":24.684044409170784,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:31","startHours":7.23251650878633,"endHours":8.510218360438937,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:47","startHours":8.510218360438937,"endHours":9.787920212091542,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:04","startHours":9.787920212091542,"endHours":11.06562206374415,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:21","startHours":11.06562206374415,"endHours":12.343323915396756,"quality":"neutral"},{"name":"Labha","start":"12:21","end":"13:37","startHours":12.343323915396756,"endHours":13.621025767049364,"quality":"auspicious"},{"name":"Amṛta","start":"13:37","end":"14:54","startHours":13.621025767049364,"endHours":14.898727618701969,"quality":"auspicious"},{"name":"Kāla","start":"14:54","end":"16:11","startHours":14.898727618701969,"endHours":16.176429470354577,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:27","startHours":16.176429470354577,"endHours":17.454131322007182,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:27","end":"19:11","startHours":17.454131322007182,"endHours":19.176429470354577,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:54","startHours":19.176429470354577,"endHours":20.89872761870197,"quality":"inauspicious"},{"name":"Śubha","start":"20:54","end":"22:37","startHours":20.89872761870197,"endHours":22.62102576704936,"quality":"auspicious"},{"name":"Roga","start":"22:37","end":"00:21","startHours":22.62102576704936,"endHours":24.343323915396756,"quality":"inauspicious"},{"name":"Udveg","start":"00:21","end":"02:04","startHours":24.343323915396756,"endHours":26.06562206374415,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:47","startHours":26.06562206374415,"endHours":27.787920212091542,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:31","startHours":27.787920212091542,"endHours":29.510218360438934,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:14","startHours":29.510218360438934,"endHours":31.23251650878633,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.23251650878633,"endHours":8.232516508786329,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.232516508786329,"endHours":9.232516508786329,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.232516508786329,"endHours":10.232516508786329,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.232516508786329,"endHours":11.232516508786329,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.232516508786329,"endHours":12.232516508786329,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.232516508786329,"endHours":13.232516508786329,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.232516508786329,"endHours":14.232516508786329,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.232516508786329,"endHours":15.232516508786329,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.232516508786329,"endHours":16.23251650878633,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.23251650878633,"endHours":17.23251650878633,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.23251650878633,"endHours":18.23251650878633,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.23251650878633,"endHours":19.23251650878633,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.23251650878633,"endHours":20.23251650878633,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.23251650878633,"endHours":21.23251650878633,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.23251650878633,"endHours":22.23251650878633,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.23251650878633,"endHours":23.23251650878633,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.23251650878633,"endHours":24.23251650878633,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.23251650878633,"endHours":25.23251650878633,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.23251650878633,"endHours":26.23251650878633,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.23251650878633,"endHours":27.23251650878633,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.23251650878633,"endHours":28.23251650878633,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.23251650878633,"endHours":29.23251650878633,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.23251650878633,"endHours":30.23251650878633,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.23251650878633,"endHours":31.23251650878633,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.37283307723078,"eotMinutes":-3.2562349238053434,"ayanamsa":-48.5083}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Aṣṭamī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 December 31, 3182 BCE · Haridwār · Vidhyamitra","description":"December 31, 3182 BCE for Haridwār: Śukla Aṣṭamī, sūryodaya 07:14, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3181-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3181-12-31","sa":"https://sa.vidhyamitra.com/city/haridwar/-3181-12-31","hi":"https://hi.vidhyamitra.com/city/haridwar/-3181-12-31","x-default":"https://vidhyamitra.com/city/haridwar/-3181-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T22:20:59.778Z","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":"2026-08-10T22:20:59.778Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T22:20:59.778Z","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"}}}