{"id":"vidhyamitra:city-day:badrinath:-3111-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3111-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-09-13","date_display":"September 13, 3112 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":-3111,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585020.770833,"kali_year":-9,"ahargana":-3444.7292,"sun":{"sidereal_longitude":202.9471,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":335.2385,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.2913,"elapsed_within_tithi_degrees":0.2913},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.2385,"elapsed_within_degrees":1.9051},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1856},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3111,"month":9,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585020.770833,"ahargana":-3444.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5346,"grahas":{"sun":{"sidereal_longitude":202.9471,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":335.2385,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-2.0608},"mars":{"sidereal_longitude":327.0404,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":226.2814,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":89.0816,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":219.1767,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":240.6455,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":2.5183,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":182.5183,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"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":-3111,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585020.770833,"kali_year":-9,"ahargana":-3444.7292,"sun":{"sidereal_longitude":202.9471,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":335.2385,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.2913,"elapsed_within_tithi_degrees":0.2913},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.2385,"elapsed_within_degrees":1.9051},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1856},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.061,"elongation":132.291},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.061,"opposition_distance":47.709}},"eclipse_window_40days":[{"offset_days":-10,"type":"solar","occurs":true,"moon_latitude":-0.866,"elongation":1.273}]},"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":"05:40","sunsetLocal":"18:34","solarNoonLocal":"12:07","dayLengthHours":12.89553994895784,"dayLengthDisplay":"12 Hours 53 Mins 44 Secs","nightLengthDisplay":"11 Hours 06 Mins 16 Secs","moonriseLocal":"15:50","moonsetLocal":"02:03","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:21","startHours":13.733124644788628,"endHours":15.345067138408359,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:40","end":"07:17","startHours":5.673412176689979,"endHours":7.285354670309709,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:54","end":"10:31","startHours":8.897297163929439,"endHours":10.50923965754917,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:07","startHours":8.682371498113476,"endHours":9.112222829745402,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:33","startHours":6.210726341229889,"endHours":6.554607406535432,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:33","startHours":11.69133081953697,"endHours":12.551033482800827,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:49","startHours":3.954006850162267,"endHours":4.813709513426123,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:40","startHours":4.598783847610159,"endHours":5.673412176689979,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:08","startHours":14.270438809328539,"endHours":15.130141472592396,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.36895212564782,"endHours":18.768952125647818,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:06","startHours":18.56895212564782,"endHours":19.10626629018773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.31895212564782,"endHours":20.06895212564782,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:33","startHours":23.691330819536972,"endHours":24.551033482800825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:40","end":"07:17","startHours":5.673412176689979,"endHours":7.285354670309709,"quality":"auspicious"},{"name":"Roga","start":"07:17","end":"08:54","startHours":7.285354670309709,"endHours":8.897297163929439,"quality":"inauspicious"},{"name":"Udveg","start":"08:54","end":"10:31","startHours":8.897297163929439,"endHours":10.50923965754917,"quality":"inauspicious"},{"name":"Chala","start":"10:31","end":"12:07","startHours":10.50923965754917,"endHours":12.121182151168899,"quality":"neutral"},{"name":"Labha","start":"12:07","end":"13:44","startHours":12.121182151168899,"endHours":13.733124644788628,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:21","startHours":13.733124644788628,"endHours":15.345067138408359,"quality":"auspicious"},{"name":"Kāla","start":"15:21","end":"16:57","startHours":15.345067138408359,"endHours":16.95700963202809,"quality":"inauspicious"},{"name":"Śubha","start":"16:57","end":"18:34","startHours":16.95700963202809,"endHours":18.56895212564782,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:34","end":"19:57","startHours":18.56895212564782,"endHours":19.95700963202809,"quality":"auspicious"},{"name":"Kāla","start":"19:57","end":"21:21","startHours":19.95700963202809,"endHours":21.34506713840836,"quality":"inauspicious"},{"name":"Śubha","start":"21:21","end":"22:44","startHours":21.34506713840836,"endHours":22.733124644788628,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:07","startHours":22.733124644788628,"endHours":24.1211821511689,"quality":"inauspicious"},{"name":"Udveg","start":"00:07","end":"01:31","startHours":24.1211821511689,"endHours":25.50923965754917,"quality":"inauspicious"},{"name":"Chala","start":"01:31","end":"02:54","startHours":25.50923965754917,"endHours":26.897297163929437,"quality":"neutral"},{"name":"Labha","start":"02:54","end":"04:17","startHours":26.897297163929437,"endHours":28.285354670309708,"quality":"auspicious"},{"name":"Amṛta","start":"04:17","end":"05:40","startHours":28.285354670309708,"endHours":29.67341217668998,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.673412176689979,"endHours":6.673412176689979,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.673412176689979,"endHours":7.673412176689979,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.673412176689979,"endHours":8.673412176689979,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.673412176689979,"endHours":9.673412176689979,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.673412176689979,"endHours":10.673412176689979,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.673412176689979,"endHours":11.673412176689979,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.673412176689979,"endHours":12.673412176689979,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.673412176689979,"endHours":13.673412176689979,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.673412176689979,"endHours":14.673412176689979,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.673412176689979,"endHours":15.673412176689979,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.673412176689979,"endHours":16.67341217668998,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.67341217668998,"endHours":17.67341217668998,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.67341217668998,"endHours":18.67341217668998,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.67341217668998,"endHours":19.67341217668998,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.67341217668998,"endHours":20.67341217668998,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.67341217668998,"endHours":21.67341217668998,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.67341217668998,"endHours":22.67341217668998,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.67341217668998,"endHours":23.67341217668998,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.67341217668998,"endHours":24.67341217668998,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.67341217668998,"endHours":25.67341217668998,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.67341217668998,"endHours":26.67341217668998,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.67341217668998,"endHours":27.67341217668998,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.67341217668998,"endHours":28.67341217668998,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.67341217668998,"endHours":29.67341217668998,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.525670766306478,"eotMinutes":4.753870929866006,"ayanamsa":-47.5346}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Dvādaśī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"tulasi-vivaha","name":"Tulasī Vivāha","name_sanskrit":"तुलसी विवाह","tradition":"Vaishnava","associated_deity":"Tulasī Devī + Bhagavān Viṣṇu","significance":"Marriage of Tulasī (Vṛndā) with Śālagrāma. Marks end of Cāturmāsya.","vrata":true,"detection":{"tithi_number":12,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"sources":["Padma Purāṇa Uttara-khaṇḍa"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Tulasī Vivāha is not live yet; Guruvāra (Thursday) — 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 September 13, 3112 BCE · Badarīnāth · Vidhyamitra","description":"September 13, 3112 BCE for Badarīnāth: Śukla Dvādaśī, sūryodaya 05:40, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3111-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3111-09-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3111-09-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3111-09-13","x-default":"https://vidhyamitra.com/city/badrinath/-3111-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T18:13:09.696Z","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":"2026-08-13T18:13:09.696Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T18:13:09.696Z","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"}}}