{"id":"vidhyamitra:city-day:badrinath:-3146-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3146-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-12-13","date_display":"December 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572327.770833,"kali_year":-44,"ahargana":-16137.7292,"sun":{"sidereal_longitude":296.1062,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":121.1161,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":185.0099,"elapsed_within_tithi_degrees":5.0099},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.1161,"elapsed_within_degrees":1.1161},"yoga":{"number":5,"name":"Śobhana","sum_longitude":57.2223},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":-3146,"month":12,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572327.770833,"ahargana":-16137.7292,"kali_year":-44,"ayanamsa_lahiri":-48.02,"grahas":{"sun":{"sidereal_longitude":296.1062,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":121.1161,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":1.0829},"mars":{"sidereal_longitude":211.8374,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":269.8881,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":100.8017,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":342.3444,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":194.2524,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":315.0546,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":135.0546,"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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572327.770833,"kali_year":-44,"ahargana":-16137.7292,"sun":{"sidereal_longitude":296.1062,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":121.1161,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":185.0099,"elapsed_within_tithi_degrees":5.0099},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.1161,"elapsed_within_degrees":1.1161},"yoga":{"number":5,"name":"Śobhana","sum_longitude":57.2223},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.083,"elongation":174.99},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.083,"opposition_distance":5.01}},"eclipse_window_40days":[{"offset_days":14,"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":"06:57","sunsetLocal":"17:17","solarNoonLocal":"12:07","dayLengthHours":10.321633706829147,"dayLengthDisplay":"10 Hours 19 Mins 18 Secs","nightLengthDisplay":"13 Hours 40 Mins 42 Secs","moonriseLocal":"17:27","moonsetLocal":"07:27","rahuKala":{"name":"Rāhu Kāla","start":"14:42","end":"15:59","startHours":14.695977589216984,"endHours":15.986181802570627,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:32","end":"10:50","startHours":9.53516073580241,"endHours":10.825364949156054,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:07","end":"13:24","startHours":12.115569162509697,"endHours":13.40577337586334,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:42","startHours":9.363133507355258,"endHours":9.707187964249563,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.384820380213005,"endHours":7.6600639457284485,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:28","startHours":11.771514705615392,"endHours":12.459623619404002,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.578534481517904,"endHours":6.266643395306514,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:57","startHours":6.094616166859361,"endHours":6.954752309095124,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:31","startHours":13.83584144698122,"endHours":14.52395036076983,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.07638601592427,"endHours":17.47638601592427,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:42","startHours":17.27638601592427,"endHours":17.70645408704215,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.02638601592427,"endHours":18.77638601592427,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:28","startHours":23.77151470561539,"endHours":24.459623619404002,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:57","end":"08:15","startHours":6.954752309095124,"endHours":8.244956522448767,"quality":"inauspicious"},{"name":"Udveg","start":"08:15","end":"09:32","startHours":8.244956522448767,"endHours":9.53516073580241,"quality":"inauspicious"},{"name":"Chala","start":"09:32","end":"10:50","startHours":9.53516073580241,"endHours":10.825364949156054,"quality":"neutral"},{"name":"Labha","start":"10:50","end":"12:07","startHours":10.825364949156054,"endHours":12.115569162509697,"quality":"auspicious"},{"name":"Amṛta","start":"12:07","end":"13:24","startHours":12.115569162509697,"endHours":13.40577337586334,"quality":"auspicious"},{"name":"Kāla","start":"13:24","end":"14:42","startHours":13.40577337586334,"endHours":14.695977589216984,"quality":"inauspicious"},{"name":"Śubha","start":"14:42","end":"15:59","startHours":14.695977589216984,"endHours":15.986181802570627,"quality":"auspicious"},{"name":"Roga","start":"15:59","end":"17:17","startHours":15.986181802570627,"endHours":17.27638601592427,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"18:59","startHours":17.27638601592427,"endHours":18.986181802570627,"quality":"inauspicious"},{"name":"Śubha","start":"18:59","end":"20:42","startHours":18.986181802570627,"endHours":20.695977589216984,"quality":"auspicious"},{"name":"Roga","start":"20:42","end":"22:24","startHours":20.695977589216984,"endHours":22.40577337586334,"quality":"inauspicious"},{"name":"Udveg","start":"22:24","end":"00:07","startHours":22.40577337586334,"endHours":24.115569162509697,"quality":"inauspicious"},{"name":"Chala","start":"00:07","end":"01:50","startHours":24.115569162509697,"endHours":25.825364949156054,"quality":"neutral"},{"name":"Labha","start":"01:50","end":"03:32","startHours":25.825364949156054,"endHours":27.53516073580241,"quality":"auspicious"},{"name":"Amṛta","start":"03:32","end":"05:15","startHours":27.53516073580241,"endHours":29.244956522448767,"quality":"auspicious"},{"name":"Kāla","start":"05:15","end":"06:57","startHours":29.244956522448767,"endHours":30.954752309095124,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.954752309095124,"endHours":7.954752309095124,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.954752309095124,"endHours":8.954752309095124,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.954752309095124,"endHours":9.954752309095124,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.954752309095124,"endHours":10.954752309095124,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.954752309095124,"endHours":11.954752309095124,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.954752309095124,"endHours":12.954752309095124,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.954752309095124,"endHours":13.954752309095124,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.954752309095124,"endHours":14.954752309095124,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.954752309095124,"endHours":15.954752309095124,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.954752309095124,"endHours":16.954752309095124,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.954752309095124,"endHours":17.954752309095124,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.954752309095124,"endHours":18.954752309095124,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.954752309095124,"endHours":19.954752309095124,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.954752309095124,"endHours":20.954752309095124,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.954752309095124,"endHours":21.954752309095124,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.954752309095124,"endHours":22.954752309095124,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.954752309095124,"endHours":23.954752309095124,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.954752309095124,"endHours":24.954752309095124,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.954752309095124,"endHours":25.954752309095124,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.954752309095124,"endHours":26.954752309095124,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.954752309095124,"endHours":27.954752309095124,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.954752309095124,"endHours":28.954752309095124,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.954752309095124,"endHours":29.954752309095124,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.954752309095124,"endHours":30.954752309095124,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","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":-21.65364076456106,"eotMinutes":5.090650249418121,"ayanamsa":-48.02}},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa 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 Kṛṣṇa Pratipada · Vikram -3089 undefined · Śaka -3224 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":"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 13, 3147 BCE · Badarīnāth · Vidhyamitra","description":"December 13, 3147 BCE for Badarīnāth: Kṛṣṇa Pratipada, sūryodaya 06:57, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3146-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3146-12-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3146-12-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3146-12-13","x-default":"https://vidhyamitra.com/city/badrinath/-3146-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:45:34.311Z","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":"2026-08-10T20:45:34.311Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:45:34.311Z","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"}}}