{"id":"vidhyamitra:city-day:badrinath:-3181-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3181-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-10-12","date_display":"October 12, 3182 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":-3181,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559481.770833,"kali_year":-79,"ahargana":-28983.7292,"sun":{"sidereal_longitude":232.5798,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":64.5475,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.9677,"elapsed_within_tithi_degrees":11.9677},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.5475,"elapsed_within_degrees":11.2142},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.1273},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":-3181,"month":10,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559481.770833,"ahargana":-28983.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5113,"grahas":{"sun":{"sidereal_longitude":232.5798,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":64.5475,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false,"latitude":2.326},"mars":{"sidereal_longitude":266.173,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":221.4573,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":125.404,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":279.8265,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":124.2174,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":275.6975,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.6975,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":-3181,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559481.770833,"kali_year":-79,"ahargana":-28983.7292,"sun":{"sidereal_longitude":232.5798,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":64.5475,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.9677,"elapsed_within_tithi_degrees":11.9677},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.5475,"elapsed_within_degrees":11.2142},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.1273},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.326,"elongation":168.032},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.326,"opposition_distance":11.968}},"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":"05:58","sunsetLocal":"17:58","solarNoonLocal":"11:58","dayLengthHours":12.001003629920282,"dayLengthDisplay":"12 Hours 00 Mins 04 Secs","nightLengthDisplay":"11 Hours 59 Mins 56 Secs","moonriseLocal":"18:28","moonsetLocal":"07:03","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"08:58","startHours":7.4630458572935625,"endHours":8.963171311033598,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:28","end":"11:58","startHours":10.463296764773633,"endHours":11.963422218513667,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:58","startHours":13.463547672253704,"endHours":14.963673125993738,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:10","startHours":8.76315458386826,"endHours":9.163188038198935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:47","startHours":6.4629622214668725,"endHours":6.782988984931413,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:22","startHours":11.56338876418299,"endHours":12.363455672844344,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:10","startHours":4.362786586230823,"endHours":5.162853494892175,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:58","startHours":4.962836767726837,"endHours":5.962920403553527,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:46","startHours":13.963589490167047,"endHours":14.763656398828399,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.76392403347381,"endHours":18.16392403347381,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:28","startHours":17.96392403347381,"endHours":18.463965851387155,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.71392403347381,"endHours":19.46392403347381,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:22","startHours":23.563388764182992,"endHours":24.363455672844342,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:58","end":"07:28","startHours":5.962920403553527,"endHours":7.4630458572935625,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"08:58","startHours":7.4630458572935625,"endHours":8.963171311033598,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:28","startHours":8.963171311033598,"endHours":10.463296764773633,"quality":"auspicious"},{"name":"Roga","start":"10:28","end":"11:58","startHours":10.463296764773633,"endHours":11.963422218513667,"quality":"inauspicious"},{"name":"Udveg","start":"11:58","end":"13:28","startHours":11.963422218513667,"endHours":13.463547672253704,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:58","startHours":13.463547672253704,"endHours":14.963673125993738,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:28","startHours":14.963673125993738,"endHours":16.463798579733776,"quality":"auspicious"},{"name":"Amṛta","start":"16:28","end":"17:58","startHours":16.463798579733776,"endHours":17.96392403347381,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:58","end":"19:28","startHours":17.96392403347381,"endHours":19.463798579733773,"quality":"neutral"},{"name":"Labha","start":"19:28","end":"20:58","startHours":19.463798579733773,"endHours":20.96367312599374,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:28","startHours":20.96367312599374,"endHours":22.463547672253704,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"23:58","startHours":22.463547672253704,"endHours":23.963422218513667,"quality":"inauspicious"},{"name":"Śubha","start":"23:58","end":"01:28","startHours":23.963422218513667,"endHours":25.46329676477363,"quality":"auspicious"},{"name":"Roga","start":"01:28","end":"02:58","startHours":25.46329676477363,"endHours":26.963171311033598,"quality":"inauspicious"},{"name":"Udveg","start":"02:58","end":"04:28","startHours":26.963171311033598,"endHours":28.46304585729356,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"05:58","startHours":28.46304585729356,"endHours":29.962920403553525,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.962920403553527,"endHours":6.962920403553527,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.962920403553527,"endHours":7.962920403553527,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.962920403553527,"endHours":8.962920403553527,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.962920403553527,"endHours":9.962920403553527,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.962920403553527,"endHours":10.962920403553527,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.962920403553527,"endHours":11.962920403553527,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.962920403553527,"endHours":12.962920403553527,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.962920403553527,"endHours":13.962920403553527,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.962920403553527,"endHours":14.962920403553527,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.962920403553527,"endHours":15.962920403553527,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.962920403553527,"endHours":16.962920403553525,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.962920403553525,"endHours":17.962920403553525,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.962920403553525,"endHours":18.962920403553525,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.962920403553525,"endHours":19.962920403553525,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.962920403553525,"endHours":20.962920403553525,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.962920403553525,"endHours":21.962920403553525,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.962920403553525,"endHours":22.962920403553525,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.962920403553525,"endHours":23.962920403553525,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.962920403553525,"endHours":24.962920403553525,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.962920403553525,"endHours":25.962920403553525,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.962920403553525,"endHours":26.962920403553525,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.962920403553525,"endHours":27.962920403553525,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.962920403553525,"endHours":28.962920403553525,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.962920403553525,"endHours":29.962920403553525,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-1.6170296453392343,"eotMinutes":14.219466889179907,"ayanamsa":-48.5113}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pratipada · Vikram -3124 undefined · Śaka -3259 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 October 12, 3182 BCE · Badarīnāth · Vidhyamitra","description":"October 12, 3182 BCE for Badarīnāth: Kṛṣṇa Pratipada, sūryodaya 05:58, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3181-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3181-10-12","sa":"https://sa.vidhyamitra.com/city/badrinath/-3181-10-12","hi":"https://hi.vidhyamitra.com/city/badrinath/-3181-10-12","x-default":"https://vidhyamitra.com/city/badrinath/-3181-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:00:15.692Z","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":"2026-08-10T13:00:15.692Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:00:15.692Z","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"}}}