{"id":"vidhyamitra:city-day:badrinath:-3164-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3164-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-24","date_display":"December 24, 3165 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":-3164,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565764.770833,"kali_year":-62,"ahargana":-22700.7292,"sun":{"sidereal_longitude":307.9414,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":48.7772,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":100.8358,"elapsed_within_tithi_degrees":4.8358},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.7772,"elapsed_within_degrees":8.7772},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.7186},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3164,"month":12,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565764.770833,"ahargana":-22700.7292,"kali_year":-62,"ayanamsa_lahiri":-48.271,"grahas":{"sun":{"sidereal_longitude":307.9414,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":48.7772,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":4.3257},"mars":{"sidereal_longitude":332.8309,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":311.8094,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":274.9898,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":325.3786,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":311.19,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.7939,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.7939,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3164,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565764.770833,"kali_year":-62,"ahargana":-22700.7292,"sun":{"sidereal_longitude":307.9414,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":48.7772,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":100.8358,"elapsed_within_tithi_degrees":4.8358},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.7772,"elapsed_within_degrees":8.7772},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.7186},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.326,"elongation":100.836},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.326,"opposition_distance":79.164}},"eclipse_window_40days":[{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"07:06","sunsetLocal":"17:18","solarNoonLocal":"12:12","dayLengthHours":10.191622953789711,"dayLengthDisplay":"10 Hours 11 Mins 30 Secs","nightLengthDisplay":"13 Hours 48 Mins 30 Secs","moonriseLocal":"12:52","moonsetLocal":"00:59","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:12","startHours":10.926885067509875,"endHours":12.200837936733588,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:45","end":"16:01","startHours":14.748743675181016,"endHours":16.02269654440473,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:23","end":"09:39","startHours":8.378979329062446,"endHours":9.65293219828616,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.483071815723,"endHours":9.822792580849322,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.5296774162466376,"endHours":7.801454028347696,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:32","startHours":11.861117171607265,"endHours":12.540558701859911,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.746143399333438,"endHours":6.425584929586085,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.255724547022924,"endHours":7.105026459838733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.899441762365207,"endHours":14.578883292617855,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.096649413628445,"endHours":17.496649413628443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.296649413628444,"endHours":17.72130037003635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.046649413628444,"endHours":18.796649413628444,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:32","startHours":23.861117171607265,"endHours":24.54055870185991,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:06","end":"08:23","startHours":7.105026459838733,"endHours":8.378979329062446,"quality":"neutral"},{"name":"Labha","start":"08:23","end":"09:39","startHours":8.378979329062446,"endHours":9.65293219828616,"quality":"auspicious"},{"name":"Amṛta","start":"09:39","end":"10:56","startHours":9.65293219828616,"endHours":10.926885067509875,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:12","startHours":10.926885067509875,"endHours":12.200837936733588,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:28","startHours":12.200837936733588,"endHours":13.474790805957301,"quality":"auspicious"},{"name":"Roga","start":"13:28","end":"14:45","startHours":13.474790805957301,"endHours":14.748743675181016,"quality":"inauspicious"},{"name":"Udveg","start":"14:45","end":"16:01","startHours":14.748743675181016,"endHours":16.02269654440473,"quality":"inauspicious"},{"name":"Chala","start":"16:01","end":"17:18","startHours":16.02269654440473,"endHours":17.296649413628444,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:01","startHours":17.296649413628444,"endHours":19.02269654440473,"quality":"inauspicious"},{"name":"Udveg","start":"19:01","end":"20:45","startHours":19.02269654440473,"endHours":20.748743675181018,"quality":"inauspicious"},{"name":"Chala","start":"20:45","end":"22:28","startHours":20.748743675181018,"endHours":22.4747908059573,"quality":"neutral"},{"name":"Labha","start":"22:28","end":"00:12","startHours":22.4747908059573,"endHours":24.20083793673359,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:56","startHours":24.20083793673359,"endHours":25.926885067509875,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:39","startHours":25.926885067509875,"endHours":27.65293219828616,"quality":"inauspicious"},{"name":"Śubha","start":"03:39","end":"05:23","startHours":27.65293219828616,"endHours":29.378979329062446,"quality":"auspicious"},{"name":"Roga","start":"05:23","end":"07:06","startHours":29.378979329062446,"endHours":31.105026459838733,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.105026459838733,"endHours":8.105026459838733,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.105026459838733,"endHours":9.105026459838733,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.105026459838733,"endHours":10.105026459838733,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.105026459838733,"endHours":11.105026459838733,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.105026459838733,"endHours":12.105026459838733,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.105026459838733,"endHours":13.105026459838733,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.105026459838733,"endHours":14.105026459838733,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.105026459838733,"endHours":15.105026459838733,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.105026459838733,"endHours":16.105026459838733,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.105026459838733,"endHours":17.105026459838733,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.105026459838733,"endHours":18.105026459838733,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.105026459838733,"endHours":19.105026459838733,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.105026459838733,"endHours":20.105026459838733,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.105026459838733,"endHours":21.105026459838733,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.105026459838733,"endHours":22.105026459838733,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.105026459838733,"endHours":23.105026459838733,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.105026459838733,"endHours":24.105026459838733,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.105026459838733,"endHours":25.105026459838733,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.105026459838733,"endHours":26.105026459838733,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.105026459838733,"endHours":27.105026459838733,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.105026459838733,"endHours":28.105026459838733,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.105026459838733,"endHours":29.105026459838733,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.105026459838733,"endHours":30.105026459838733,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.105026459838733,"endHours":31.105026459838733,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.034555836108375,"eotMinutes":-0.025476204015291604,"ayanamsa":-48.271}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Navamī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 24, 3165 BCE · Badarīnāth · Vidhyamitra","description":"December 24, 3165 BCE for Badarīnāth: Śukla Navamī, sūryodaya 07:06, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3164-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3164-12-24","sa":"https://sa.vidhyamitra.com/city/badrinath/-3164-12-24","hi":"https://hi.vidhyamitra.com/city/badrinath/-3164-12-24","x-default":"https://vidhyamitra.com/city/badrinath/-3164-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:20:13.849Z","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":"2026-08-10T11:20:13.849Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:20:13.849Z","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"}}}