{"id":"vidhyamitra:city-day:badrinath:-3146-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3146-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-12-10","date_display":"December 10, 3147 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":-3146,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572324.770833,"kali_year":-44,"ahargana":-16140.7292,"sun":{"sidereal_longitude":293.0492,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":83.3825,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":83.3825,"elapsed_within_degrees":3.3825},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.4317},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3146,"month":12,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572324.770833,"ahargana":-16140.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0201,"grahas":{"sun":{"sidereal_longitude":293.0492,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"moon":{"sidereal_longitude":83.3825,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":3.5365},"mars":{"sidereal_longitude":210.2131,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":266.1811,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":101.1991,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":339.1072,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":194.205,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":315.2135,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":135.2135,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":-3146,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572324.770833,"kali_year":-44,"ahargana":-16140.7292,"sun":{"sidereal_longitude":293.0492,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":83.3825,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":83.3825,"elapsed_within_degrees":3.3825},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.4317},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.536,"elongation":150.333},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.536,"opposition_distance":29.667}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":-0.174,"elongation":1.789}]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"06:55","sunsetLocal":"17:17","solarNoonLocal":"12:06","dayLengthHours":10.36978370023693,"dayLengthDisplay":"10 Hours 22 Mins 11 Secs","nightLengthDisplay":"13 Hours 37 Mins 49 Secs","moonriseLocal":"15:32","moonsetLocal":"04:42","rahuKala":{"name":"Rāhu Kāla","start":"09:30","end":"10:48","startHours":9.500800542636515,"endHours":10.797023505166132,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:23","end":"14:41","startHours":13.389469430225365,"endHours":14.68569239275498,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:55","end":"08:12","startHours":6.908354617577284,"endHours":8.2045775801069,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:40","startHours":9.327970814299235,"endHours":9.6736302709738,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:37","startHours":7.340428938420489,"endHours":7.61695650376014,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:26","startHours":11.747587011021185,"endHours":12.438905924370314,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:13","startHours":5.525716790879026,"endHours":6.217035704228155,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:55","startHours":6.044205975890873,"endHours":6.908354617577284,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.821543751068571,"endHours":14.5128626644177,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.078138317814215,"endHours":17.478138317814214,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.278138317814214,"endHours":17.71021263865742,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.028138317814214,"endHours":18.778138317814214,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:26","startHours":23.747587011021185,"endHours":24.438905924370314,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:55","end":"08:12","startHours":6.908354617577284,"endHours":8.2045775801069,"quality":"inauspicious"},{"name":"Śubha","start":"08:12","end":"09:30","startHours":8.2045775801069,"endHours":9.500800542636515,"quality":"auspicious"},{"name":"Roga","start":"09:30","end":"10:48","startHours":9.500800542636515,"endHours":10.797023505166132,"quality":"inauspicious"},{"name":"Udveg","start":"10:48","end":"12:06","startHours":10.797023505166132,"endHours":12.09324646769575,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:23","startHours":12.09324646769575,"endHours":13.389469430225365,"quality":"neutral"},{"name":"Labha","start":"13:23","end":"14:41","startHours":13.389469430225365,"endHours":14.68569239275498,"quality":"auspicious"},{"name":"Amṛta","start":"14:41","end":"15:59","startHours":14.68569239275498,"endHours":15.981915355284599,"quality":"auspicious"},{"name":"Kāla","start":"15:59","end":"17:17","startHours":15.981915355284599,"endHours":17.278138317814214,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:17","end":"18:59","startHours":17.278138317814214,"endHours":18.9819153552846,"quality":"auspicious"},{"name":"Amṛta","start":"18:59","end":"20:41","startHours":18.9819153552846,"endHours":20.68569239275498,"quality":"auspicious"},{"name":"Kāla","start":"20:41","end":"22:23","startHours":20.68569239275498,"endHours":22.389469430225365,"quality":"inauspicious"},{"name":"Śubha","start":"22:23","end":"00:06","startHours":22.389469430225365,"endHours":24.09324646769575,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:48","startHours":24.09324646769575,"endHours":25.797023505166134,"quality":"inauspicious"},{"name":"Udveg","start":"01:48","end":"03:30","startHours":25.797023505166134,"endHours":27.50080054263652,"quality":"inauspicious"},{"name":"Chala","start":"03:30","end":"05:12","startHours":27.50080054263652,"endHours":29.2045775801069,"quality":"neutral"},{"name":"Labha","start":"05:12","end":"06:55","startHours":29.2045775801069,"endHours":30.908354617577285,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.908354617577284,"endHours":7.908354617577284,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.908354617577284,"endHours":8.908354617577285,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.908354617577285,"endHours":9.908354617577285,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.908354617577285,"endHours":10.908354617577285,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.908354617577285,"endHours":11.908354617577285,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.908354617577285,"endHours":12.908354617577285,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.908354617577285,"endHours":13.908354617577285,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.908354617577285,"endHours":14.908354617577285,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.908354617577285,"endHours":15.908354617577285,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.908354617577285,"endHours":16.908354617577285,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.908354617577285,"endHours":17.908354617577285,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.908354617577285,"endHours":18.908354617577285,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.908354617577285,"endHours":19.908354617577285,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.908354617577285,"endHours":20.908354617577285,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.908354617577285,"endHours":21.908354617577285,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.908354617577285,"endHours":22.908354617577285,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.908354617577285,"endHours":23.908354617577285,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.908354617577285,"endHours":24.908354617577285,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.908354617577285,"endHours":25.908354617577285,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.908354617577285,"endHours":26.908354617577285,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.908354617577285,"endHours":27.908354617577285,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.908354617577285,"endHours":28.908354617577285,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.908354617577285,"endHours":29.908354617577285,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.908354617577285,"endHours":30.908354617577285,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.134183090674323,"eotMinutes":6.4300119382551255,"ayanamsa":-48.0201}},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram -3089 undefined · Śaka -3224 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 10, 3147 BCE · Badarīnāth · Vidhyamitra","description":"December 10, 3147 BCE for Badarīnāth: Śukla Trayodaśī, sūryodaya 06:55, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3146-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3146-12-10","sa":"https://sa.vidhyamitra.com/city/badrinath/-3146-12-10","hi":"https://hi.vidhyamitra.com/city/badrinath/-3146-12-10","x-default":"https://vidhyamitra.com/city/badrinath/-3146-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:18:58.157Z","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":"2026-08-10T13:18:58.157Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:18:58.157Z","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"}}}