{"id":"vidhyamitra:city-day:badrinath:-3137-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3137-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-10-01","date_display":"October 1, 3138 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3137,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575541.770833,"kali_year":-35,"ahargana":-12923.7292,"sun":{"sidereal_longitude":220.9433,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":356.8436,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9003,"elapsed_within_tithi_degrees":3.9003},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":356.8436,"elapsed_within_degrees":10.1769},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.7868},"karana":{"half_tithi_index":22,"name":"Bava"},"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":-3137,"month":10,"day":1,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575541.770833,"ahargana":-12923.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8971,"grahas":{"sun":{"sidereal_longitude":220.9433,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":356.8436,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-2.3883},"mars":{"sidereal_longitude":113.7235,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":227.4642,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":0.7365,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":201.562,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":276.1576,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":144.7614,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.7614,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3137,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575541.770833,"kali_year":-35,"ahargana":-12923.7292,"sun":{"sidereal_longitude":220.9433,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":356.8436,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9003,"elapsed_within_tithi_degrees":3.9003},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":356.8436,"elapsed_within_degrees":10.1769},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.7868},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.388,"elongation":135.9},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.388,"opposition_distance":44.1}},"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":"05:50","sunsetLocal":"18:11","solarNoonLocal":"12:01","dayLengthHours":12.348544859378354,"dayLengthDisplay":"12 Hours 20 Mins 55 Secs","nightLengthDisplay":"11 Hours 39 Mins 05 Secs","moonriseLocal":"15:46","moonsetLocal":"02:23","rahuKala":{"name":"Rāhu Kāla","start":"12:01","end":"13:33","startHours":12.014283930223593,"endHours":13.557852037645887,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"08:56","startHours":7.38357960795671,"endHours":8.927147715379004,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:28","end":"12:01","startHours":10.4707158228013,"endHours":12.014283930223593,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:08","startHours":8.721338634389365,"endHours":9.132956796368644,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:41","startHours":6.354534203008514,"endHours":6.6838287325919366,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:26","startHours":11.602665768244314,"endHours":12.425902092202872,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:01","startHours":4.193538852617302,"endHours":5.016775176575859,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:49","end":"05:50","startHours":4.81096609558622,"endHours":5.840011500534416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:54","startHours":14.072374740119987,"endHours":14.895611064078544,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.98855635991277,"endHours":18.38855635991277,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:42","startHours":18.18855635991277,"endHours":18.70307906238687,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.93855635991277,"endHours":19.68855635991277,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:26","startHours":23.602665768244314,"endHours":24.42590209220287,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:50","end":"07:23","startHours":5.840011500534416,"endHours":7.38357960795671,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"08:56","startHours":7.38357960795671,"endHours":8.927147715379004,"quality":"auspicious"},{"name":"Kāla","start":"08:56","end":"10:28","startHours":8.927147715379004,"endHours":10.4707158228013,"quality":"inauspicious"},{"name":"Śubha","start":"10:28","end":"12:01","startHours":10.4707158228013,"endHours":12.014283930223593,"quality":"auspicious"},{"name":"Roga","start":"12:01","end":"13:33","startHours":12.014283930223593,"endHours":13.557852037645887,"quality":"inauspicious"},{"name":"Udveg","start":"13:33","end":"15:06","startHours":13.557852037645887,"endHours":15.101420145068182,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:39","startHours":15.101420145068182,"endHours":16.644988252490478,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:11","startHours":16.644988252490478,"endHours":18.18855635991277,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:11","end":"19:39","startHours":18.18855635991277,"endHours":19.644988252490474,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"21:06","startHours":19.644988252490474,"endHours":21.101420145068182,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:33","startHours":21.101420145068182,"endHours":22.557852037645887,"quality":"auspicious"},{"name":"Amṛta","start":"22:33","end":"00:01","startHours":22.557852037645887,"endHours":24.01428393022359,"quality":"auspicious"},{"name":"Kāla","start":"00:01","end":"01:28","startHours":24.01428393022359,"endHours":25.4707158228013,"quality":"inauspicious"},{"name":"Śubha","start":"01:28","end":"02:56","startHours":25.4707158228013,"endHours":26.927147715379004,"quality":"auspicious"},{"name":"Roga","start":"02:56","end":"04:23","startHours":26.927147715379004,"endHours":28.38357960795671,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:50","startHours":28.38357960795671,"endHours":29.840011500534416,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.840011500534416,"endHours":6.840011500534416,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.840011500534416,"endHours":7.840011500534416,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.840011500534416,"endHours":8.840011500534416,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.840011500534416,"endHours":9.840011500534416,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.840011500534416,"endHours":10.840011500534416,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.840011500534416,"endHours":11.840011500534416,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.840011500534416,"endHours":12.840011500534416,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.840011500534416,"endHours":13.840011500534416,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.840011500534416,"endHours":14.840011500534416,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.840011500534416,"endHours":15.840011500534416,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.840011500534416,"endHours":16.840011500534416,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.840011500534416,"endHours":17.840011500534416,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.840011500534416,"endHours":18.840011500534416,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.840011500534416,"endHours":19.840011500534416,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.840011500534416,"endHours":20.840011500534416,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.840011500534416,"endHours":21.840011500534416,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.840011500534416,"endHours":22.840011500534416,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.840011500534416,"endHours":23.840011500534416,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.840011500534416,"endHours":24.840011500534416,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.840011500534416,"endHours":25.840011500534416,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.840011500534416,"endHours":26.840011500534416,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.840011500534416,"endHours":27.840011500534416,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.840011500534416,"endHours":28.840011500534416,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.840011500534416,"endHours":29.840011500534416,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":2.760034447675139,"eotMinutes":11.167764186584405,"ayanamsa":-47.8971}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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":"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 October 1, 3138 BCE · Badarīnāth · Vidhyamitra","description":"October 1, 3138 BCE for Badarīnāth: Śukla Dvādaśī, sūryodaya 05:50, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3137-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3137-10-01","sa":"https://sa.vidhyamitra.com/city/badrinath/-3137-10-01","hi":"https://hi.vidhyamitra.com/city/badrinath/-3137-10-01","x-default":"https://vidhyamitra.com/city/badrinath/-3137-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:37:26.406Z","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":"2026-05-14T20:37:26.406Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:37:26.406Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}