{"id":"vidhyamitra:city-day:haridwar:-3181-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3181-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-10-13","date_display":"October 13, 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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559482.770833,"kali_year":-79,"ahargana":-28982.7292,"sun":{"sidereal_longitude":233.6041,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":77.1634,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.5593,"elapsed_within_tithi_degrees":11.5593},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.1634,"elapsed_within_degrees":10.4968},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.7675},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":10,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559482.770833,"ahargana":-28982.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5113,"grahas":{"sun":{"sidereal_longitude":233.6041,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":77.1634,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":1.4251},"mars":{"sidereal_longitude":266.9361,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":223.1211,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":125.4245,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":280.896,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":124.2165,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":275.6445,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.6445,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559482.770833,"kali_year":-79,"ahargana":-28982.7292,"sun":{"sidereal_longitude":233.6041,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":77.1634,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.5593,"elapsed_within_tithi_degrees":11.5593},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.1634,"elapsed_within_degrees":10.4968},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.7675},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.425,"elongation":156.441},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.425,"opposition_distance":23.559}},"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":"06:04","sunsetLocal":"18:02","solarNoonLocal":"12:03","dayLengthHours":11.97277440166116,"dayLengthDisplay":"11 Hours 58 Mins 22 Secs","nightLengthDisplay":"12 Hours 01 Mins 38 Secs","moonriseLocal":"19:09","moonsetLocal":"08:06","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:32","startHours":15.041539780280699,"endHours":16.538136580488345,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:03","end":"10:33","startHours":9.05515257945012,"endHours":10.551749379657764,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:33","startHours":12.048346179865408,"endHours":13.544942980073055,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.855606339422433,"endHours":9.254698819477806,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.560824579104044,"endHours":6.880098563148342,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:27","startHours":11.649253699810037,"endHours":12.447438659920783,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:28","end":"05:16","startHours":4.465589058813341,"endHours":5.263774018924085,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:04","startHours":5.064227778896399,"endHours":6.061958979034829,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:51","startHours":14.043808580142269,"endHours":14.841993540253013,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83473338069599,"endHours":18.23473338069599,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:32","startHours":18.03473338069599,"endHours":18.533598980765206,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78473338069599,"endHours":19.53473338069599,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:27","startHours":23.64925369981004,"endHours":24.447438659920785,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:04","end":"07:34","startHours":6.061958979034829,"endHours":7.558555779242474,"quality":"inauspicious"},{"name":"Udveg","start":"07:34","end":"09:03","startHours":7.558555779242474,"endHours":9.05515257945012,"quality":"inauspicious"},{"name":"Chala","start":"09:03","end":"10:33","startHours":9.05515257945012,"endHours":10.551749379657764,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"12:03","startHours":10.551749379657764,"endHours":12.048346179865408,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:33","startHours":12.048346179865408,"endHours":13.544942980073055,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"15:02","startHours":13.544942980073055,"endHours":15.041539780280699,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:32","startHours":15.041539780280699,"endHours":16.538136580488345,"quality":"auspicious"},{"name":"Roga","start":"16:32","end":"18:02","startHours":16.538136580488345,"endHours":18.03473338069599,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:02","end":"19:32","startHours":18.03473338069599,"endHours":19.538136580488345,"quality":"inauspicious"},{"name":"Śubha","start":"19:32","end":"21:02","startHours":19.538136580488345,"endHours":21.0415397802807,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:33","startHours":21.0415397802807,"endHours":22.544942980073053,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"00:03","startHours":22.544942980073053,"endHours":24.04834617986541,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:33","startHours":24.04834617986541,"endHours":25.551749379657764,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"03:03","startHours":25.551749379657764,"endHours":27.05515257945012,"quality":"auspicious"},{"name":"Amṛta","start":"03:03","end":"04:34","startHours":27.05515257945012,"endHours":28.558555779242475,"quality":"auspicious"},{"name":"Kāla","start":"04:34","end":"06:04","startHours":28.558555779242475,"endHours":30.061958979034827,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.061958979034829,"endHours":7.061958979034829,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.061958979034829,"endHours":8.061958979034829,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.061958979034829,"endHours":9.061958979034829,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.061958979034829,"endHours":10.061958979034829,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.061958979034829,"endHours":11.061958979034829,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.061958979034829,"endHours":12.061958979034829,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.061958979034829,"endHours":13.061958979034829,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.061958979034829,"endHours":14.061958979034829,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.061958979034829,"endHours":15.061958979034829,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.061958979034829,"endHours":16.061958979034827,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.061958979034827,"endHours":17.061958979034827,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.061958979034827,"endHours":18.061958979034827,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.061958979034827,"endHours":19.061958979034827,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.061958979034827,"endHours":20.061958979034827,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.061958979034827,"endHours":21.061958979034827,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.061958979034827,"endHours":22.061958979034827,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.061958979034827,"endHours":23.061958979034827,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.061958979034827,"endHours":24.061958979034827,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.061958979034827,"endHours":25.061958979034827,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.061958979034827,"endHours":26.061958979034827,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.061958979034827,"endHours":27.061958979034827,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.061958979034827,"endHours":28.061958979034827,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.061958979034827,"endHours":29.061958979034827,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.061958979034827,"endHours":30.061958979034827,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.0233261854809683,"eotMinutes":14.442429208075392,"ayanamsa":-48.5113}},"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 Dvitīyā · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 October 13, 3182 BCE · Haridwār · Vidhyamitra","description":"October 13, 3182 BCE for Haridwār: Kṛṣṇa Dvitīyā, sūryodaya 06:04, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3181-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3181-10-13","sa":"https://sa.vidhyamitra.com/city/haridwar/-3181-10-13","hi":"https://hi.vidhyamitra.com/city/haridwar/-3181-10-13","x-default":"https://vidhyamitra.com/city/haridwar/-3181-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T19:01:33.581Z","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":"2026-08-10T19:01:33.581Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T19:01:33.581Z","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"}}}