{"id":"vidhyamitra:city-day:badrinath:2020-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2020-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-01","date_display":"January 1, 2020 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458849.770833,"kali_year":5121,"ahargana":1870384.2708,"sun":{"sidereal_longitude":255.6465,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":324.3509,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.7044,"elapsed_within_tithi_degrees":8.7044},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3509,"elapsed_within_degrees":4.3509},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.9973},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2020,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458849.770833,"ahargana":1870384.2708,"kali_year":5121,"ayanamsa_lahiri":24.1324,"grahas":{"sun":{"sidereal_longitude":255.933714,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":322.486214,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-4.1201},"mars":{"sidereal_longitude":214.01111400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.06201399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":252.568314,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":290.044314,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":267.218214,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":78.0404,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.0404,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458849.770833,"kali_year":5121,"ahargana":1870384.2708,"sun":{"sidereal_longitude":255.6465,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":324.3509,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.7044,"elapsed_within_tithi_degrees":8.7044},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3509,"elapsed_within_degrees":4.3509},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.9973},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.12,"elongation":68.704},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.12,"opposition_distance":111.296}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.409},{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":0.783,"opposition_distance":1.611}]},"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":"17:21","solarNoonLocal":"12:16","dayLengthHours":10.189701982179681,"dayLengthDisplay":"10 Hours 11 Mins 23 Secs","nightLengthDisplay":"13 Hours 48 Mins 37 Secs","moonriseLocal":"10:52","moonsetLocal":"22:32","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:32","startHours":12.262166305389933,"endHours":13.535879053162393,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"09:43","startHours":8.441028062072553,"endHours":9.714740809845013,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:16","startHours":10.988453557617474,"endHours":12.262166305389933,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:53","startHours":9.54491244347535,"endHours":9.884569176214674,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:52","startHours":7.5918862302242465,"endHours":7.863611616415705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.922509572650611,"endHours":12.601823038129258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:29","startHours":5.808688383342802,"endHours":6.4880018488214475,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:10","startHours":6.318173482451786,"endHours":7.167315314300093,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:38","startHours":13.960449969086547,"endHours":14.639763434565191,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.157017296479776,"endHours":17.557017296479774,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.357017296479775,"endHours":17.78158821240393,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.107017296479775,"endHours":18.857017296479775,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.92250957265061,"endHours":24.601823038129254,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:26","startHours":7.167315314300093,"endHours":8.441028062072553,"quality":"auspicious"},{"name":"Amṛta","start":"08:26","end":"09:43","startHours":8.441028062072553,"endHours":9.714740809845013,"quality":"auspicious"},{"name":"Kāla","start":"09:43","end":"10:59","startHours":9.714740809845013,"endHours":10.988453557617474,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:16","startHours":10.988453557617474,"endHours":12.262166305389933,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:32","startHours":12.262166305389933,"endHours":13.535879053162393,"quality":"inauspicious"},{"name":"Udveg","start":"13:32","end":"14:49","startHours":13.535879053162393,"endHours":14.809591800934854,"quality":"inauspicious"},{"name":"Chala","start":"14:49","end":"16:05","startHours":14.809591800934854,"endHours":16.083304548707314,"quality":"neutral"},{"name":"Labha","start":"16:05","end":"17:21","startHours":16.083304548707314,"endHours":17.357017296479775,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:21","end":"19:05","startHours":17.357017296479775,"endHours":19.083304548707314,"quality":"inauspicious"},{"name":"Chala","start":"19:05","end":"20:49","startHours":19.083304548707314,"endHours":20.809591800934854,"quality":"neutral"},{"name":"Labha","start":"20:49","end":"22:32","startHours":20.809591800934854,"endHours":22.535879053162397,"quality":"auspicious"},{"name":"Amṛta","start":"22:32","end":"00:16","startHours":22.535879053162397,"endHours":24.262166305389933,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:59","startHours":24.262166305389933,"endHours":25.988453557617476,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:43","startHours":25.988453557617476,"endHours":27.714740809845015,"quality":"auspicious"},{"name":"Roga","start":"03:43","end":"05:26","startHours":27.714740809845015,"endHours":29.441028062072554,"quality":"inauspicious"},{"name":"Udveg","start":"05:26","end":"07:10","startHours":29.441028062072554,"endHours":31.167315314300094,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.167315314300093,"endHours":8.167315314300094,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.167315314300094,"endHours":9.167315314300094,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.167315314300094,"endHours":10.167315314300094,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.167315314300094,"endHours":11.167315314300094,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.167315314300094,"endHours":12.167315314300094,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.167315314300094,"endHours":13.167315314300094,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.167315314300094,"endHours":14.167315314300094,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.167315314300094,"endHours":15.167315314300094,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.167315314300094,"endHours":16.167315314300094,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.167315314300094,"endHours":17.167315314300094,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.167315314300094,"endHours":18.167315314300094,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.167315314300094,"endHours":19.167315314300094,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.167315314300094,"endHours":20.167315314300094,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.167315314300094,"endHours":21.167315314300094,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.167315314300094,"endHours":22.167315314300094,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.167315314300094,"endHours":23.167315314300094,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.167315314300094,"endHours":24.167315314300094,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.167315314300094,"endHours":25.167315314300094,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.167315314300094,"endHours":26.167315314300094,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.167315314300094,"endHours":27.167315314300094,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.167315314300094,"endHours":28.167315314300094,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.167315314300094,"endHours":29.167315314300094,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.167315314300094,"endHours":30.167315314300094,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.167315314300094,"endHours":31.167315314300094,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.05471891012744,"eotMinutes":-3.705178323396069,"ayanamsa":24.1324}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 1, 2020 CE · Badarīnāth · Vidhyamitra","description":"January 1, 2020 CE for Badarīnāth: Śukla Ṣaṣṭhī, sūryodaya 07:10, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2020-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2020-01-01","sa":"https://sa.vidhyamitra.com/city/badrinath/2020-01-01","hi":"https://hi.vidhyamitra.com/city/badrinath/2020-01-01","x-default":"https://vidhyamitra.com/city/badrinath/2020-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T05:27:07.055Z","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":"2026-05-15T05:27:07.055Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T05:27:07.055Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}