{"id":"vidhyamitra:city-day:badrinath:2045-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-12","date_display":"December 12, 2045 CE","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":2045,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468326.770833,"kali_year":5147,"ahargana":1879861.2708,"sun":{"sidereal_longitude":235.3858,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.9789,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5931,"elapsed_within_tithi_degrees":7.5931},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.9789,"elapsed_within_degrees":12.3122},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.3647},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2045,"month":12,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468326.770833,"ahargana":1879861.2708,"kali_year":5147,"ayanamsa_lahiri":24.4948,"grahas":{"sun":{"sidereal_longitude":235.90912300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":276.96142299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-1.3088},"mars":{"sidereal_longitude":160.899723,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":216.80422299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":311.23732300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":263.90682300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":229.604423,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":295.9033,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.9033,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468326.770833,"kali_year":5147,"ahargana":1879861.2708,"sun":{"sidereal_longitude":235.3858,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":278.9789,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5931,"elapsed_within_tithi_degrees":7.5931},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.9789,"elapsed_within_degrees":12.3122},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.3647},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.309,"elongation":43.593},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.309,"opposition_distance":136.407}},"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":"07:01","sunsetLocal":"17:12","solarNoonLocal":"12:06","dayLengthHours":10.186394893567886,"dayLengthDisplay":"10 Hours 11 Mins 11 Secs","nightLengthDisplay":"13 Hours 48 Mins 49 Secs","moonriseLocal":"09:37","moonsetLocal":"20:04","rahuKala":{"name":"Rāhu Kāla","start":"14:39","end":"15:56","startHours":14.654653905706756,"endHours":15.927953267402739,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:34","end":"10:50","startHours":9.561456458922812,"endHours":10.834755820618797,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:06","end":"13:23","startHours":12.108055182314782,"endHours":13.381354544010769,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:44","startHours":9.39168321069668,"endHours":9.731229707148943,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.439290856096169,"endHours":7.710928053257979,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:27","startHours":11.76850868586252,"endHours":12.447601678767045,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:20","startHours":5.656671749721788,"endHours":6.335764742626314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:01","startHours":6.165991494400183,"endHours":7.01485773553084,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:29","startHours":13.805787664576098,"endHours":14.484880657480623,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:00","end":"17:24","startHours":17.001252629098726,"endHours":17.401252629098725,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:12","end":"17:38","startHours":17.201252629098725,"endHours":17.625685749664054,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:57","end":"18:42","startHours":16.951252629098725,"endHours":18.701252629098725,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:27","startHours":23.768508685862518,"endHours":24.447601678767047,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:17","startHours":7.01485773553084,"endHours":8.288157097226826,"quality":"inauspicious"},{"name":"Udveg","start":"08:17","end":"09:34","startHours":8.288157097226826,"endHours":9.561456458922812,"quality":"inauspicious"},{"name":"Chala","start":"09:34","end":"10:50","startHours":9.561456458922812,"endHours":10.834755820618797,"quality":"neutral"},{"name":"Labha","start":"10:50","end":"12:06","startHours":10.834755820618797,"endHours":12.108055182314782,"quality":"auspicious"},{"name":"Amṛta","start":"12:06","end":"13:23","startHours":12.108055182314782,"endHours":13.381354544010769,"quality":"auspicious"},{"name":"Kāla","start":"13:23","end":"14:39","startHours":13.381354544010769,"endHours":14.654653905706756,"quality":"inauspicious"},{"name":"Śubha","start":"14:39","end":"15:56","startHours":14.654653905706756,"endHours":15.927953267402739,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:12","startHours":15.927953267402739,"endHours":17.201252629098725,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:12","end":"18:56","startHours":17.201252629098725,"endHours":18.92795326740274,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:39","startHours":18.92795326740274,"endHours":20.654653905706752,"quality":"auspicious"},{"name":"Roga","start":"20:39","end":"22:23","startHours":20.654653905706752,"endHours":22.38135454401077,"quality":"inauspicious"},{"name":"Udveg","start":"22:23","end":"00:06","startHours":22.38135454401077,"endHours":24.108055182314782,"quality":"inauspicious"},{"name":"Chala","start":"00:06","end":"01:50","startHours":24.108055182314782,"endHours":25.834755820618795,"quality":"neutral"},{"name":"Labha","start":"01:50","end":"03:34","startHours":25.834755820618795,"endHours":27.561456458922812,"quality":"auspicious"},{"name":"Amṛta","start":"03:34","end":"05:17","startHours":27.561456458922812,"endHours":29.288157097226826,"quality":"auspicious"},{"name":"Kāla","start":"05:17","end":"07:01","startHours":29.288157097226826,"endHours":31.01485773553084,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.01485773553084,"endHours":8.014857735530839,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.014857735530839,"endHours":9.014857735530839,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.014857735530839,"endHours":10.014857735530839,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.014857735530839,"endHours":11.014857735530839,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.014857735530839,"endHours":12.014857735530839,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.014857735530839,"endHours":13.014857735530839,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.014857735530839,"endHours":14.014857735530839,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.014857735530839,"endHours":15.014857735530839,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.014857735530839,"endHours":16.01485773553084,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.01485773553084,"endHours":17.01485773553084,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.01485773553084,"endHours":18.01485773553084,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.01485773553084,"endHours":19.01485773553084,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.01485773553084,"endHours":20.01485773553084,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.01485773553084,"endHours":21.01485773553084,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.01485773553084,"endHours":22.01485773553084,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.01485773553084,"endHours":23.01485773553084,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.01485773553084,"endHours":24.01485773553084,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.01485773553084,"endHours":25.01485773553084,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.01485773553084,"endHours":26.01485773553084,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.01485773553084,"endHours":27.01485773553084,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.01485773553084,"endHours":28.01485773553084,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.01485773553084,"endHours":29.01485773553084,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.01485773553084,"endHours":30.01485773553084,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.01485773553084,"endHours":31.01485773553084,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.08941449509447,"eotMinutes":5.541489061113115,"ayanamsa":24.4948}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla 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 Śukla Caturthī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Vināyaka Caturthī (monthly) is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 12, 2045 CE · Badarīnāth · Vidhyamitra","description":"December 12, 2045 CE for Badarīnāth: Śukla Caturthī, sūryodaya 07:01, sūryāsta 17:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-12-12","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-12-12","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-12-12","x-default":"https://vidhyamitra.com/city/badrinath/2045-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T14:52:44.929Z","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":"2026-09-11T14:52:44.929Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T14:52:44.929Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}