{"id":"vidhyamitra:city-day:badrinath:-3171-09-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3171-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-09-15","date_display":"September 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563107.770833,"kali_year":-69,"ahargana":-25357.7292,"sun":{"sidereal_longitude":205.5,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":317.2169,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":111.7169,"elapsed_within_tithi_degrees":3.7169},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.2169,"elapsed_within_degrees":10.5502},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.7169},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563107.770833,"ahargana":-25357.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3727,"grahas":{"sun":{"sidereal_longitude":205.5,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":317.2169,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-3.6227},"mars":{"sidereal_longitude":70.4559,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":222.7958,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":64.9701,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":162.3428,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.0057,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":83.5745,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.5745,"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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563107.770833,"kali_year":-69,"ahargana":-25357.7292,"sun":{"sidereal_longitude":205.5,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":317.2169,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":111.7169,"elapsed_within_tithi_degrees":3.7169},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.2169,"elapsed_within_degrees":10.5502},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.7169},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.623,"elongation":111.717},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.623,"opposition_distance":68.283}},"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":"05:41","sunsetLocal":"18:32","solarNoonLocal":"12:07","dayLengthHours":12.84348995354577,"dayLengthDisplay":"12 Hours 50 Mins 37 Secs","nightLengthDisplay":"11 Hours 09 Mins 23 Secs","moonriseLocal":"14:30","moonsetLocal":"00:37","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"08:54","startHours":7.2924933810302965,"endHours":8.897929625223519,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:30","end":"12:07","startHours":10.50336586941674,"endHours":12.108802113609961,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:19","startHours":13.714238357803183,"endHours":15.319674601996404,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:07","startHours":8.683871459331089,"endHours":9.111987791115947,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.222202551568149,"endHours":6.564695616996036,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:32","startHours":11.680685781825103,"endHours":12.53691844539482,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:50","startHours":3.974591809697639,"endHours":4.8308244732673575,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:41","startHours":4.616766307374927,"endHours":5.687057136837075,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"15:06","startHours":14.249383772534255,"endHours":15.105616436103974,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:20","end":"18:44","startHours":18.330547090382847,"endHours":18.730547090382846,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:32","end":"19:04","startHours":18.530547090382846,"endHours":19.06569250511392,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:17","end":"20:02","startHours":18.280547090382846,"endHours":20.030547090382846,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:32","startHours":23.6806857818251,"endHours":24.53691844539482,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:18","startHours":5.687057136837075,"endHours":7.2924933810302965,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"08:54","startHours":7.2924933810302965,"endHours":8.897929625223519,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:30","startHours":8.897929625223519,"endHours":10.50336586941674,"quality":"auspicious"},{"name":"Roga","start":"10:30","end":"12:07","startHours":10.50336586941674,"endHours":12.108802113609961,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:43","startHours":12.108802113609961,"endHours":13.714238357803183,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:19","startHours":13.714238357803183,"endHours":15.319674601996404,"quality":"neutral"},{"name":"Labha","start":"15:19","end":"16:56","startHours":15.319674601996404,"endHours":16.925110846189625,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:32","startHours":16.925110846189625,"endHours":18.530547090382846,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:32","end":"19:56","startHours":18.530547090382846,"endHours":19.925110846189625,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:19","startHours":19.925110846189625,"endHours":21.319674601996404,"quality":"auspicious"},{"name":"Amṛta","start":"21:19","end":"22:43","startHours":21.319674601996404,"endHours":22.714238357803183,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:07","startHours":22.714238357803183,"endHours":24.10880211360996,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:30","startHours":24.10880211360996,"endHours":25.50336586941674,"quality":"auspicious"},{"name":"Roga","start":"01:30","end":"02:54","startHours":25.50336586941674,"endHours":26.89792962522352,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:18","startHours":26.89792962522352,"endHours":28.292493381030297,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:41","startHours":28.292493381030297,"endHours":29.687057136837076,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.687057136837075,"endHours":6.687057136837075,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.687057136837075,"endHours":7.687057136837075,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.687057136837075,"endHours":8.687057136837076,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.687057136837076,"endHours":9.687057136837076,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.687057136837076,"endHours":10.687057136837076,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.687057136837076,"endHours":11.687057136837076,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.687057136837076,"endHours":12.687057136837076,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.687057136837076,"endHours":13.687057136837076,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.687057136837076,"endHours":14.687057136837076,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.687057136837076,"endHours":15.687057136837076,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.687057136837076,"endHours":16.687057136837076,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.687057136837076,"endHours":17.687057136837076,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.687057136837076,"endHours":18.687057136837076,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.687057136837076,"endHours":19.687057136837076,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.687057136837076,"endHours":20.687057136837076,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.687057136837076,"endHours":21.687057136837076,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.687057136837076,"endHours":22.687057136837076,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.687057136837076,"endHours":23.687057136837076,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.687057136837076,"endHours":24.687057136837076,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.687057136837076,"endHours":25.687057136837076,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.687057136837076,"endHours":26.687057136837076,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.687057136837076,"endHours":27.687057136837076,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.687057136837076,"endHours":28.687057136837076,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.687057136837076,"endHours":29.687057136837076,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","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":8.893171214686673,"eotMinutes":5.496673183402374,"ayanamsa":-48.3727}},"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 Daśamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 15, 3172 BCE · Badarīnāth · Vidhyamitra","description":"September 15, 3172 BCE for Badarīnāth: Śukla Daśamī, sūryodaya 05:41, sūryāsta 18:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3171-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3171-09-15","sa":"https://sa.vidhyamitra.com/city/badrinath/-3171-09-15","hi":"https://hi.vidhyamitra.com/city/badrinath/-3171-09-15","x-default":"https://vidhyamitra.com/city/badrinath/-3171-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T12:14:21.591Z","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":"2026-08-12T12:14:21.591Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T12:14:21.591Z","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"}}}