{"id":"vidhyamitra:city-day:haridwar:-3137-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3137-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-21","date_display":"December 21, 3138 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":-3137,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575622.770833,"kali_year":-35,"ahargana":-12842.7292,"sun":{"sidereal_longitude":303.9026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":344.8724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9698,"elapsed_within_tithi_degrees":4.9698},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.8724,"elapsed_within_degrees":11.5391},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.775},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":-3137,"month":12,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575622.770833,"ahargana":-12842.7292,"kali_year":-35,"ayanamsa_lahiri":-47.894,"grahas":{"sun":{"sidereal_longitude":303.9026,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":344.8724,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-1.8576},"mars":{"sidereal_longitude":103.8301,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":313.7516,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":5.4207,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":303.7179,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":285.1115,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.4696,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.4696,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575622.770833,"kali_year":-35,"ahargana":-12842.7292,"sun":{"sidereal_longitude":303.9026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":344.8724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.9698,"elapsed_within_tithi_degrees":4.9698},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.8724,"elapsed_within_degrees":11.5391},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.775},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.858,"elongation":40.97},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.858,"opposition_distance":139.03}},"eclipse_window_40days":[{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":"07:07","sunsetLocal":"17:24","solarNoonLocal":"12:16","dayLengthHours":10.283409566061286,"dayLengthDisplay":"10 Hours 17 Mins 00 Secs","nightLengthDisplay":"13 Hours 43 Mins 00 Secs","moonriseLocal":"09:47","moonsetLocal":"20:12","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:24","startHours":16.12228809715728,"endHours":17.40771429291494,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:33","startHours":12.266009509884295,"endHours":13.551435705641957,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:50","end":"16:07","startHours":14.836861901399617,"endHours":16.12228809715728,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.523766958934619,"endHours":9.86654727780333,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.55278012543954,"endHours":7.8270043805345075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.923229191015587,"endHours":12.608789828753004,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.753183451378815,"endHours":6.438744089116234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.26735392968188,"endHours":7.124304726853653,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.979911104227844,"endHours":14.665471741965263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.20771429291494,"endHours":17.607714292914938,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:50","startHours":17.40771429291494,"endHours":17.836189691500827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.15771429291494,"endHours":18.90771429291494,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.923229191015587,"endHours":24.608789828753004,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:07","end":"08:25","startHours":7.124304726853653,"endHours":8.409730922611313,"quality":"inauspicious"},{"name":"Chala","start":"08:25","end":"09:42","startHours":8.409730922611313,"endHours":9.695157118368975,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"10:59","startHours":9.695157118368975,"endHours":10.980583314126635,"quality":"auspicious"},{"name":"Amṛta","start":"10:59","end":"12:16","startHours":10.980583314126635,"endHours":12.266009509884295,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:33","startHours":12.266009509884295,"endHours":13.551435705641957,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"14:50","startHours":13.551435705641957,"endHours":14.836861901399617,"quality":"auspicious"},{"name":"Roga","start":"14:50","end":"16:07","startHours":14.836861901399617,"endHours":16.12228809715728,"quality":"inauspicious"},{"name":"Udveg","start":"16:07","end":"17:24","startHours":16.12228809715728,"endHours":17.40771429291494,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:24","end":"19:07","startHours":17.40771429291494,"endHours":19.122288097157277,"quality":"auspicious"},{"name":"Roga","start":"19:07","end":"20:50","startHours":19.122288097157277,"endHours":20.83686190139962,"quality":"inauspicious"},{"name":"Udveg","start":"20:50","end":"22:33","startHours":20.83686190139962,"endHours":22.551435705641957,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:16","startHours":22.551435705641957,"endHours":24.266009509884295,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:59","startHours":24.266009509884295,"endHours":25.980583314126633,"quality":"auspicious"},{"name":"Amṛta","start":"01:59","end":"03:42","startHours":25.980583314126633,"endHours":27.695157118368975,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:25","startHours":27.695157118368975,"endHours":29.409730922611313,"quality":"inauspicious"},{"name":"Śubha","start":"05:25","end":"07:07","startHours":29.409730922611313,"endHours":31.12430472685365,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.124304726853653,"endHours":8.124304726853653,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.124304726853653,"endHours":9.124304726853653,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.124304726853653,"endHours":10.124304726853653,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.124304726853653,"endHours":11.124304726853653,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.124304726853653,"endHours":12.124304726853653,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.124304726853653,"endHours":13.124304726853653,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.124304726853653,"endHours":14.124304726853653,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.124304726853653,"endHours":15.124304726853653,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.124304726853653,"endHours":16.12430472685365,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.12430472685365,"endHours":17.12430472685365,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.12430472685365,"endHours":18.12430472685365,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.12430472685365,"endHours":19.12430472685365,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.12430472685365,"endHours":20.12430472685365,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.12430472685365,"endHours":21.12430472685365,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.12430472685365,"endHours":22.12430472685365,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.12430472685365,"endHours":23.12430472685365,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.12430472685365,"endHours":24.12430472685365,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.12430472685365,"endHours":25.12430472685365,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.12430472685365,"endHours":26.12430472685365,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.12430472685365,"endHours":27.12430472685365,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.12430472685365,"endHours":28.12430472685365,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.12430472685365,"endHours":29.12430472685365,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.12430472685365,"endHours":30.12430472685365,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.12430472685365,"endHours":31.12430472685365,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","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":-22.70164602875064,"eotMinutes":1.382629406942221,"ayanamsa":-47.894}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"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 Caturthī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 Vināyaka Caturthī (monthly) is not live yet; 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 December 21, 3138 BCE · Haridwār · Vidhyamitra","description":"December 21, 3138 BCE for Haridwār: Śukla Caturthī, sūryodaya 07:07, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3137-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3137-12-21","sa":"https://sa.vidhyamitra.com/city/haridwar/-3137-12-21","hi":"https://hi.vidhyamitra.com/city/haridwar/-3137-12-21","x-default":"https://vidhyamitra.com/city/haridwar/-3137-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T21:53:56.498Z","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":"2026-08-10T21:53:56.498Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T21:53:56.498Z","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"}}}