{"id":"vidhyamitra:city-day:badrinath:-3171-09-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3171-09-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-09-10","date_display":"September 10, 3172 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":-3171,"month":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563102.770833,"kali_year":-69,"ahargana":-25362.7292,"sun":{"sidereal_longitude":200.4493,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":246.9259,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.4765,"elapsed_within_tithi_degrees":10.4765},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9259,"elapsed_within_degrees":6.9259},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.3752},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3171,"month":9,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563102.770833,"ahargana":-25362.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3728,"grahas":{"sun":{"sidereal_longitude":200.4493,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":246.9259,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":1.3079},"mars":{"sidereal_longitude":70.2664,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":214.7357,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":65.3441,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":159.1107,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":230.4712,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":83.8394,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.8394,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563102.770833,"kali_year":-69,"ahargana":-25362.7292,"sun":{"sidereal_longitude":200.4493,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":246.9259,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.4765,"elapsed_within_tithi_degrees":10.4765},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9259,"elapsed_within_degrees":6.9259},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.3752},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.308,"elongation":46.477},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.308,"opposition_distance":133.523}},"eclipse_window_40days":[]},"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":"05:39","sunsetLocal":"18:38","solarNoonLocal":"12:08","dayLengthHours":12.995715632435228,"dayLengthDisplay":"12 Hours 59 Mins 45 Secs","nightLengthDisplay":"11 Hours 00 Mins 15 Secs","moonriseLocal":"09:29","moonsetLocal":"21:00","rahuKala":{"name":"Rāhu Kāla","start":"12:08","end":"13:46","startHours":12.139631703705899,"endHours":13.764096157760303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:53","startHours":7.266238341542688,"endHours":8.890702795597091,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:31","end":"12:08","startHours":10.515167249651494,"endHours":12.139631703705899,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:06","startHours":8.674107535056503,"endHours":9.10729805613768,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:32","startHours":6.183262038839752,"endHours":6.529814455704692,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:34","startHours":11.706441182624724,"endHours":12.572822224787073,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:47","startHours":3.909011803163587,"endHours":4.7753928453259356,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:39","startHours":4.558797584785348,"endHours":5.641773887488284,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:10","startHours":14.30558430911177,"endHours":15.17196535127412,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:26","end":"18:50","startHours":18.437489519923513,"endHours":18.837489519923512,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:38","end":"19:11","startHours":18.637489519923513,"endHours":19.178977671274982,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:23","end":"20:08","startHours":18.387489519923513,"endHours":20.137489519923513,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:34","startHours":23.706441182624726,"endHours":24.57282222478707,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:39","end":"07:16","startHours":5.641773887488284,"endHours":7.266238341542688,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:53","startHours":7.266238341542688,"endHours":8.890702795597091,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:31","startHours":8.890702795597091,"endHours":10.515167249651494,"quality":"inauspicious"},{"name":"Śubha","start":"10:31","end":"12:08","startHours":10.515167249651494,"endHours":12.139631703705899,"quality":"auspicious"},{"name":"Roga","start":"12:08","end":"13:46","startHours":12.139631703705899,"endHours":13.764096157760303,"quality":"inauspicious"},{"name":"Udveg","start":"13:46","end":"15:23","startHours":13.764096157760303,"endHours":15.388560611814706,"quality":"inauspicious"},{"name":"Chala","start":"15:23","end":"17:01","startHours":15.388560611814706,"endHours":17.01302506586911,"quality":"neutral"},{"name":"Labha","start":"17:01","end":"18:38","startHours":17.01302506586911,"endHours":18.637489519923513,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:38","end":"20:01","startHours":18.637489519923513,"endHours":20.01302506586911,"quality":"inauspicious"},{"name":"Chala","start":"20:01","end":"21:23","startHours":20.01302506586911,"endHours":21.388560611814704,"quality":"neutral"},{"name":"Labha","start":"21:23","end":"22:46","startHours":21.388560611814704,"endHours":22.764096157760303,"quality":"auspicious"},{"name":"Amṛta","start":"22:46","end":"00:08","startHours":22.764096157760303,"endHours":24.1396317037059,"quality":"auspicious"},{"name":"Kāla","start":"00:08","end":"01:31","startHours":24.1396317037059,"endHours":25.515167249651494,"quality":"inauspicious"},{"name":"Śubha","start":"01:31","end":"02:53","startHours":25.515167249651494,"endHours":26.890702795597093,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:16","startHours":26.890702795597093,"endHours":28.26623834154269,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:39","startHours":28.26623834154269,"endHours":29.641773887488284,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.641773887488284,"endHours":6.641773887488284,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.641773887488284,"endHours":7.641773887488284,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.641773887488284,"endHours":8.641773887488284,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.641773887488284,"endHours":9.641773887488284,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.641773887488284,"endHours":10.641773887488284,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.641773887488284,"endHours":11.641773887488284,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.641773887488284,"endHours":12.641773887488284,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.641773887488284,"endHours":13.641773887488284,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.641773887488284,"endHours":14.641773887488284,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.641773887488284,"endHours":15.641773887488284,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.641773887488284,"endHours":16.641773887488284,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.641773887488284,"endHours":17.641773887488284,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.641773887488284,"endHours":18.641773887488284,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.641773887488284,"endHours":19.641773887488284,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.641773887488284,"endHours":20.641773887488284,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.641773887488284,"endHours":21.641773887488284,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.641773887488284,"endHours":22.641773887488284,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.641773887488284,"endHours":23.641773887488284,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.641773887488284,"endHours":24.641773887488284,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.641773887488284,"endHours":25.641773887488284,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.641773887488284,"endHours":26.641773887488284,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.641773887488284,"endHours":27.641773887488284,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.641773887488284,"endHours":28.641773887488284,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.641773887488284,"endHours":29.641773887488284,"planetary_lord":"Sun"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.734312206415643,"eotMinutes":3.6468977776461458,"ayanamsa":-48.3728}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"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 Caturthī · Vikram -3114 undefined · Śaka -3249 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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — 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 10, 3172 BCE · Badarīnāth · Vidhyamitra","description":"September 10, 3172 BCE for Badarīnāth: Śukla Caturthī, sūryodaya 05:39, sūryāsta 18:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3171-09-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3171-09-10","sa":"https://sa.vidhyamitra.com/city/badrinath/-3171-09-10","hi":"https://hi.vidhyamitra.com/city/badrinath/-3171-09-10","x-default":"https://vidhyamitra.com/city/badrinath/-3171-09-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T06:04:44.602Z","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":"2026-08-13T06:04:44.602Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T06:04:44.602Z","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"}}}