{"id":"vidhyamitra:city-day:badrinath:-3187-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3187-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-12-13","date_display":"December 13, 3188 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":-3187,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557352.770833,"kali_year":-85,"ahargana":-31112.7292,"sun":{"sidereal_longitude":296.7263,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":92.4006,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6744,"elapsed_within_tithi_degrees":11.6744},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.4006,"elapsed_within_degrees":12.4006},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.1269},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3187,"month":12,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557352.770833,"ahargana":-31112.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5928,"grahas":{"sun":{"sidereal_longitude":296.7263,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":92.4006,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.0403},"mars":{"sidereal_longitude":266.3382,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":286.9705,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":292.008,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":255.5228,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":29.6935,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":28.5021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.5021,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":-3187,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557352.770833,"kali_year":-85,"ahargana":-31112.7292,"sun":{"sidereal_longitude":296.7263,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":92.4006,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6744,"elapsed_within_tithi_degrees":11.6744},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.4006,"elapsed_within_degrees":12.4006},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.1269},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.04,"elongation":155.674},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.04,"opposition_distance":24.326}},"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":"06:57","sunsetLocal":"17:17","solarNoonLocal":"12:07","dayLengthHours":10.320931239613309,"dayLengthDisplay":"10 Hours 19 Mins 15 Secs","nightLengthDisplay":"13 Hours 40 Mins 45 Secs","moonriseLocal":"15:48","moonsetLocal":"05:12","rahuKala":{"name":"Rāhu Kāla","start":"15:59","end":"17:17","startHours":15.985918377364687,"endHours":17.27603478231635,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:07","end":"13:24","startHours":12.115569162509697,"endHours":13.40568556746136,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:42","end":"15:59","startHours":14.695801972413022,"endHours":15.985918377364687,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:42","startHours":9.363320831946147,"endHours":9.70735187326659,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.385142344353596,"endHours":7.6603671774099515,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:28","startHours":11.771538121189254,"endHours":12.45960020383014,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.578979377421268,"endHours":6.2670414600621545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:57","startHours":6.095025939401933,"endHours":6.955103542703042,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:31","startHours":13.835724369111915,"endHours":14.523786451752802,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.076034782316352,"endHours":17.47603478231635,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:42","startHours":17.27603478231635,"endHours":17.706073583966905,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.02603478231635,"endHours":18.77603478231635,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:28","startHours":23.771538121189252,"endHours":24.459600203830142,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:57","end":"08:15","startHours":6.955103542703042,"endHours":8.245219947654705,"quality":"inauspicious"},{"name":"Chala","start":"08:15","end":"09:32","startHours":8.245219947654705,"endHours":9.535336352606368,"quality":"neutral"},{"name":"Labha","start":"09:32","end":"10:50","startHours":9.535336352606368,"endHours":10.825452757558033,"quality":"auspicious"},{"name":"Amṛta","start":"10:50","end":"12:07","startHours":10.825452757558033,"endHours":12.115569162509697,"quality":"auspicious"},{"name":"Kāla","start":"12:07","end":"13:24","startHours":12.115569162509697,"endHours":13.40568556746136,"quality":"inauspicious"},{"name":"Śubha","start":"13:24","end":"14:42","startHours":13.40568556746136,"endHours":14.695801972413022,"quality":"auspicious"},{"name":"Roga","start":"14:42","end":"15:59","startHours":14.695801972413022,"endHours":15.985918377364687,"quality":"inauspicious"},{"name":"Udveg","start":"15:59","end":"17:17","startHours":15.985918377364687,"endHours":17.27603478231635,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:17","end":"18:59","startHours":17.27603478231635,"endHours":18.985918377364687,"quality":"auspicious"},{"name":"Roga","start":"18:59","end":"20:42","startHours":18.985918377364687,"endHours":20.695801972413022,"quality":"inauspicious"},{"name":"Udveg","start":"20:42","end":"22:24","startHours":20.695801972413022,"endHours":22.40568556746136,"quality":"inauspicious"},{"name":"Chala","start":"22:24","end":"00:07","startHours":22.40568556746136,"endHours":24.115569162509697,"quality":"neutral"},{"name":"Labha","start":"00:07","end":"01:50","startHours":24.115569162509697,"endHours":25.825452757558033,"quality":"auspicious"},{"name":"Amṛta","start":"01:50","end":"03:32","startHours":25.825452757558033,"endHours":27.53533635260637,"quality":"auspicious"},{"name":"Kāla","start":"03:32","end":"05:15","startHours":27.53533635260637,"endHours":29.245219947654707,"quality":"inauspicious"},{"name":"Śubha","start":"05:15","end":"06:57","startHours":29.245219947654707,"endHours":30.955103542703043,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.955103542703042,"endHours":7.955103542703042,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.955103542703042,"endHours":8.955103542703043,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.955103542703043,"endHours":9.955103542703043,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.955103542703043,"endHours":10.955103542703043,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.955103542703043,"endHours":11.955103542703043,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.955103542703043,"endHours":12.955103542703043,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.955103542703043,"endHours":13.955103542703043,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.955103542703043,"endHours":14.955103542703043,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.955103542703043,"endHours":15.955103542703043,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.955103542703043,"endHours":16.955103542703043,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.955103542703043,"endHours":17.955103542703043,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.955103542703043,"endHours":18.955103542703043,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.955103542703043,"endHours":19.955103542703043,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.955103542703043,"endHours":20.955103542703043,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.955103542703043,"endHours":21.955103542703043,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.955103542703043,"endHours":22.955103542703043,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.955103542703043,"endHours":23.955103542703043,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.955103542703043,"endHours":24.955103542703043,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.955103542703043,"endHours":25.955103542703043,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.955103542703043,"endHours":26.955103542703043,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.955103542703043,"endHours":27.955103542703043,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.955103542703043,"endHours":28.955103542703043,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.955103542703043,"endHours":29.955103542703043,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.955103542703043,"endHours":30.955103542703043,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.66118742827601,"eotMinutes":5.090650249418121,"ayanamsa":-48.5928}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram -3130 undefined · Śaka -3265 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Ravivāra (Sunday) — 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 December 13, 3188 BCE · Badarīnāth · Vidhyamitra","description":"December 13, 3188 BCE for Badarīnāth: Śukla Trayodaśī, sūryodaya 06:57, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3187-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3187-12-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3187-12-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3187-12-13","x-default":"https://vidhyamitra.com/city/badrinath/-3187-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T03:53:04.080Z","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":"2026-08-11T03:53:04.080Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T03:53:04.080Z","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"}}}