{"id":"vidhyamitra:city-day:badrinath:2051-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2051-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-03","date_display":"January 3, 2051 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":2051,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470174.770833,"kali_year":5152,"ahargana":1881709.2708,"sun":{"sidereal_longitude":257.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.4843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.8036,"elapsed_within_tithi_degrees":8.8036},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.4843,"elapsed_within_degrees":13.1509},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.1649},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2051,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470174.770833,"ahargana":1881709.2708,"kali_year":5152,"ayanamsa_lahiri":24.5655,"grahas":{"sun":{"sidereal_longitude":258.022516,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":144.883916,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-3.5205},"mars":{"sidereal_longitude":341.424316,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.980416,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":130.207316,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":210.543816,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.796116,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":197.9874,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.9874,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":2051,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470174.770833,"kali_year":5152,"ahargana":1881709.2708,"sun":{"sidereal_longitude":257.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.4843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.8036,"elapsed_within_tithi_degrees":8.8036},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.4843,"elapsed_within_degrees":13.1509},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.1649},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.52,"elongation":111.196},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.52,"opposition_distance":68.804}},"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":"07:10","sunsetLocal":"17:23","solarNoonLocal":"12:17","dayLengthHours":10.210048391303117,"dayLengthDisplay":"10 Hours 12 Mins 36 Secs","nightLengthDisplay":"13 Hours 47 Mins 24 Secs","moonriseLocal":"22:31","moonsetLocal":"10:57","rahuKala":{"name":"Rāhu Kāla","start":"14:50","end":"16:06","startHours":14.829415778336749,"endHours":16.105671827249637,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:43","end":"11:00","startHours":9.724391582685191,"endHours":11.000647631598081,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:17","end":"13:33","startHours":12.27690368051097,"endHours":13.55315972942386,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.554224109496806,"endHours":9.894559055873575,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:52","startHours":7.597298167830375,"endHours":7.869566124931791,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:37","startHours":11.936568734134198,"endHours":12.61723862688774,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:29","startHours":5.810539699352329,"endHours":6.491209592105871,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:10","startHours":6.321042118917486,"endHours":7.171879484859412,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.978578412394823,"endHours":14.659248305148363,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.18192787616253,"endHours":17.581927876162528,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:48","startHours":17.38192787616253,"endHours":17.807346559133492,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.13192787616253,"endHours":18.88192787616253,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:37","startHours":23.936568734134198,"endHours":24.61723862688774,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:10","end":"08:27","startHours":7.171879484859412,"endHours":8.448135533772302,"quality":"inauspicious"},{"name":"Udveg","start":"08:27","end":"09:43","startHours":8.448135533772302,"endHours":9.724391582685191,"quality":"inauspicious"},{"name":"Chala","start":"09:43","end":"11:00","startHours":9.724391582685191,"endHours":11.000647631598081,"quality":"neutral"},{"name":"Labha","start":"11:00","end":"12:17","startHours":11.000647631598081,"endHours":12.27690368051097,"quality":"auspicious"},{"name":"Amṛta","start":"12:17","end":"13:33","startHours":12.27690368051097,"endHours":13.55315972942386,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"14:50","startHours":13.55315972942386,"endHours":14.829415778336749,"quality":"inauspicious"},{"name":"Śubha","start":"14:50","end":"16:06","startHours":14.829415778336749,"endHours":16.105671827249637,"quality":"auspicious"},{"name":"Roga","start":"16:06","end":"17:23","startHours":16.105671827249637,"endHours":17.38192787616253,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:23","end":"19:06","startHours":17.38192787616253,"endHours":19.10567182724964,"quality":"inauspicious"},{"name":"Śubha","start":"19:06","end":"20:50","startHours":19.10567182724964,"endHours":20.82941577833675,"quality":"auspicious"},{"name":"Roga","start":"20:50","end":"22:33","startHours":20.82941577833675,"endHours":22.55315972942386,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"00:17","startHours":22.55315972942386,"endHours":24.27690368051097,"quality":"inauspicious"},{"name":"Chala","start":"00:17","end":"02:00","startHours":24.27690368051097,"endHours":26.00064763159808,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"03:43","startHours":26.00064763159808,"endHours":27.724391582685193,"quality":"auspicious"},{"name":"Amṛta","start":"03:43","end":"05:27","startHours":27.724391582685193,"endHours":29.4481355337723,"quality":"auspicious"},{"name":"Kāla","start":"05:27","end":"07:10","startHours":29.4481355337723,"endHours":31.17187948485941,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.171879484859412,"endHours":8.171879484859412,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.171879484859412,"endHours":9.171879484859412,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.171879484859412,"endHours":10.171879484859412,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.171879484859412,"endHours":11.171879484859412,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.171879484859412,"endHours":12.171879484859412,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.171879484859412,"endHours":13.171879484859412,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.171879484859412,"endHours":14.171879484859412,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.171879484859412,"endHours":15.171879484859412,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.171879484859412,"endHours":16.17187948485941,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17187948485941,"endHours":17.17187948485941,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17187948485941,"endHours":18.17187948485941,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17187948485941,"endHours":19.17187948485941,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17187948485941,"endHours":20.17187948485941,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17187948485941,"endHours":21.17187948485941,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17187948485941,"endHours":22.17187948485941,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17187948485941,"endHours":23.17187948485941,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17187948485941,"endHours":24.17187948485941,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17187948485941,"endHours":25.17187948485941,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17187948485941,"endHours":26.17187948485941,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17187948485941,"endHours":27.17187948485941,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17187948485941,"endHours":28.17187948485941,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17187948485941,"endHours":29.17187948485941,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17187948485941,"endHours":30.17187948485941,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17187948485941,"endHours":31.17187948485941,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.84079830602787,"eotMinutes":-4.589420830658165,"ayanamsa":24.5655}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"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":"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 January 3, 2051 CE · Badarīnāth · Vidhyamitra","description":"January 3, 2051 CE for Badarīnāth: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:10, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2051-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2051-01-03","sa":"https://sa.vidhyamitra.com/city/badrinath/2051-01-03","hi":"https://hi.vidhyamitra.com/city/badrinath/2051-01-03","x-default":"https://vidhyamitra.com/city/badrinath/2051-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T09:46:05.970Z","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":"2026-09-12T09:46:05.970Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T09:46:05.970Z","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"}}}