{"id":"vidhyamitra:city-day:haridwar:-3145-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3145-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-20","date_display":"January 20, 3146 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":-3145,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572365.770833,"kali_year":-44,"ahargana":-16099.7292,"sun":{"sidereal_longitude":334.3769,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":263.8412,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4642,"elapsed_within_tithi_degrees":1.4642},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8412,"elapsed_within_degrees":10.5078},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.2181},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3145,"month":1,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572365.770833,"ahargana":-16099.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0186,"grahas":{"sun":{"sidereal_longitude":334.3769,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":263.8412,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-3.405},"mars":{"sidereal_longitude":230.8737,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":334.9862,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":97.4862,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":17.3932,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":193.5416,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":313.0411,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.0411,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3145,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572365.770833,"kali_year":-44,"ahargana":-16099.7292,"sun":{"sidereal_longitude":334.3769,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":263.8412,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.4642,"elapsed_within_tithi_degrees":1.4642},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8412,"elapsed_within_degrees":10.5078},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.2181},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.405,"elongation":70.536},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.405,"opposition_distance":109.464}},"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":"07:19","sunsetLocal":"17:38","solarNoonLocal":"12:28","dayLengthHours":10.307781901806202,"dayLengthDisplay":"10 Hours 18 Mins 28 Secs","nightLengthDisplay":"13 Hours 41 Mins 32 Secs","moonriseLocal":"02:15","moonsetLocal":"13:17","rahuKala":{"name":"Rāhu Kāla","start":"11:11","end":"12:28","startHours":11.18331898456138,"endHours":12.471791722287154,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:03","end":"16:20","startHours":15.048737197738706,"endHours":16.33720993546448,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:36","end":"09:54","startHours":8.60637350910983,"endHours":9.894846246835606,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:04","startHours":9.723049881805501,"endHours":10.066642611865708,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:45","end":"08:01","startHours":7.747391683959313,"endHours":8.022265868007478,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:49","startHours":12.128198992226947,"endHours":12.815384452347361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:38","startHours":5.943529851143227,"endHours":6.630715311263641,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:19","startHours":6.4589189462335375,"endHours":7.317900771384054,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.189755372588188,"endHours":14.876940832708602,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.425682673190256,"endHours":17.825682673190254,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:03","startHours":17.625682673190255,"endHours":18.055173585765512,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.375682673190255,"endHours":19.125682673190255,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:49","startHours":24.12819899222695,"endHours":24.81538445234736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:19","end":"08:36","startHours":7.317900771384054,"endHours":8.60637350910983,"quality":"neutral"},{"name":"Labha","start":"08:36","end":"09:54","startHours":8.60637350910983,"endHours":9.894846246835606,"quality":"auspicious"},{"name":"Amṛta","start":"09:54","end":"11:11","startHours":9.894846246835606,"endHours":11.18331898456138,"quality":"auspicious"},{"name":"Kāla","start":"11:11","end":"12:28","startHours":11.18331898456138,"endHours":12.471791722287154,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:46","startHours":12.471791722287154,"endHours":13.76026446001293,"quality":"auspicious"},{"name":"Roga","start":"13:46","end":"15:03","startHours":13.76026446001293,"endHours":15.048737197738706,"quality":"inauspicious"},{"name":"Udveg","start":"15:03","end":"16:20","startHours":15.048737197738706,"endHours":16.33720993546448,"quality":"inauspicious"},{"name":"Chala","start":"16:20","end":"17:38","startHours":16.33720993546448,"endHours":17.625682673190255,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:38","end":"19:20","startHours":17.625682673190255,"endHours":19.33720993546448,"quality":"inauspicious"},{"name":"Udveg","start":"19:20","end":"21:03","startHours":19.33720993546448,"endHours":21.048737197738703,"quality":"inauspicious"},{"name":"Chala","start":"21:03","end":"22:46","startHours":21.048737197738703,"endHours":22.76026446001293,"quality":"neutral"},{"name":"Labha","start":"22:46","end":"00:28","startHours":22.76026446001293,"endHours":24.471791722287154,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:11","startHours":24.471791722287154,"endHours":26.183318984561378,"quality":"auspicious"},{"name":"Kāla","start":"02:11","end":"03:54","startHours":26.183318984561378,"endHours":27.894846246835606,"quality":"inauspicious"},{"name":"Śubha","start":"03:54","end":"05:36","startHours":27.894846246835606,"endHours":29.60637350910983,"quality":"auspicious"},{"name":"Roga","start":"05:36","end":"07:19","startHours":29.60637350910983,"endHours":31.317900771384053,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:19","end":"08:19","startHours":7.317900771384054,"endHours":8.317900771384053,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:19","end":"09:19","startHours":8.317900771384053,"endHours":9.317900771384053,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:19","end":"10:19","startHours":9.317900771384053,"endHours":10.317900771384053,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:19","end":"11:19","startHours":10.317900771384053,"endHours":11.317900771384053,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:19","end":"12:19","startHours":11.317900771384053,"endHours":12.317900771384053,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:19","end":"13:19","startHours":12.317900771384053,"endHours":13.317900771384053,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:19","end":"14:19","startHours":13.317900771384053,"endHours":14.317900771384053,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:19","end":"15:19","startHours":14.317900771384053,"endHours":15.317900771384053,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:19","end":"16:19","startHours":15.317900771384053,"endHours":16.317900771384053,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:19","end":"17:19","startHours":16.317900771384053,"endHours":17.317900771384053,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:19","end":"18:19","startHours":17.317900771384053,"endHours":18.317900771384053,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:19","end":"19:19","startHours":18.317900771384053,"endHours":19.317900771384053,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:19","end":"20:19","startHours":19.317900771384053,"endHours":20.317900771384053,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:19","end":"21:19","startHours":20.317900771384053,"endHours":21.317900771384053,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:19","end":"22:19","startHours":21.317900771384053,"endHours":22.317900771384053,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:19","end":"23:19","startHours":22.317900771384053,"endHours":23.317900771384053,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:19","end":"00:19","startHours":23.317900771384053,"endHours":24.317900771384053,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:19","end":"01:19","startHours":24.317900771384053,"endHours":25.317900771384053,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:19","end":"02:19","startHours":25.317900771384053,"endHours":26.317900771384053,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:19","end":"03:19","startHours":26.317900771384053,"endHours":27.317900771384053,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:19","end":"04:19","startHours":27.317900771384053,"endHours":28.317900771384053,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:19","end":"05:19","startHours":28.317900771384053,"endHours":29.317900771384053,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:19","end":"06:19","startHours":29.317900771384053,"endHours":30.317900771384053,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:19","end":"07:19","startHours":30.317900771384053,"endHours":31.317900771384053,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.434805258434764,"eotMinutes":-10.9643033372293,"ayanamsa":-48.0186}},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Daśamī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 January 20, 3146 BCE · Haridwār · Vidhyamitra","description":"January 20, 3146 BCE for Haridwār: Kṛṣṇa Daśamī, sūryodaya 07:19, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3145-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3145-01-20","sa":"https://sa.vidhyamitra.com/city/haridwar/-3145-01-20","hi":"https://hi.vidhyamitra.com/city/haridwar/-3145-01-20","x-default":"https://vidhyamitra.com/city/haridwar/-3145-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T17:40:53.124Z","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":"2026-09-08T17:40:53.124Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T17:40:53.124Z","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"}}}