{"id":"vidhyamitra:city-day:badrinath:2018-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2018-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-01-20","date_display":"January 20, 2018 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":2018,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458138.770833,"kali_year":5119,"ahargana":1869673.2708,"sun":{"sidereal_longitude":275.6987,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.6079,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.9092,"elapsed_within_tithi_degrees":10.9092},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.6079,"elapsed_within_degrees":3.9413},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.3067},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2018,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458138.770833,"ahargana":1869673.2708,"kali_year":5119,"ayanamsa_lahiri":24.1052,"grahas":{"sun":{"sidereal_longitude":275.81398,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":308.17467999999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-1.1556},"mars":{"sidereal_longitude":211.58838000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":258.03427999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":205.49568,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":278.13537999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":249.31238000000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":115.7126,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":295.7126,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":"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":2018,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458138.770833,"kali_year":5119,"ahargana":1869673.2708,"sun":{"sidereal_longitude":275.6987,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.6079,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.9092,"elapsed_within_tithi_degrees":10.9092},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.6079,"elapsed_within_degrees":3.9413},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.3067},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.156,"elongation":34.909},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.156,"opposition_distance":145.091}},"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":"07:09","sunsetLocal":"17:37","solarNoonLocal":"12:23","dayLengthHours":10.458579675632933,"dayLengthDisplay":"10 Hours 27 Mins 31 Secs","nightLengthDisplay":"13 Hours 32 Mins 29 Secs","moonriseLocal":"08:55","moonsetLocal":"20:09","rahuKala":{"name":"Rāhu Kāla","start":"09:46","end":"11:05","startHours":9.768506803378923,"endHours":11.07582926283304,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"15:00","startHours":13.690474181741273,"endHours":14.99779664119539,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:28","startHours":7.1538618844706905,"endHours":8.461184343924806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.594197142118375,"endHours":9.942816464639472,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.589636037622062,"endHours":7.8685314956389405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.034532399766059,"endHours":12.731771044808253,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.759384594386299,"endHours":6.456623239428495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.282313578167946,"endHours":7.1538618844706905,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:49","startHours":14.126248334892647,"endHours":14.823486979934843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.412441560103623,"endHours":17.812441560103622,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.612441560103623,"endHours":18.048215713254994,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.362441560103623,"endHours":19.112441560103623,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.034532399766057,"endHours":24.731771044808255,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:09","end":"08:28","startHours":7.1538618844706905,"endHours":8.461184343924806,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:46","startHours":8.461184343924806,"endHours":9.768506803378923,"quality":"auspicious"},{"name":"Roga","start":"09:46","end":"11:05","startHours":9.768506803378923,"endHours":11.07582926283304,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:23","startHours":11.07582926283304,"endHours":12.383151722287156,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:41","startHours":12.383151722287156,"endHours":13.690474181741273,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"15:00","startHours":13.690474181741273,"endHours":14.99779664119539,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:18","startHours":14.99779664119539,"endHours":16.305119100649506,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:37","startHours":16.305119100649506,"endHours":17.612441560103623,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:18","startHours":17.612441560103623,"endHours":19.305119100649506,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"21:00","startHours":19.305119100649506,"endHours":20.99779664119539,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:41","startHours":20.99779664119539,"endHours":22.690474181741273,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:23","startHours":22.690474181741273,"endHours":24.383151722287156,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:05","startHours":24.383151722287156,"endHours":26.07582926283304,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:46","startHours":26.07582926283304,"endHours":27.768506803378923,"quality":"inauspicious"},{"name":"Chala","start":"03:46","end":"05:28","startHours":27.768506803378923,"endHours":29.461184343924806,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:09","startHours":29.461184343924806,"endHours":31.15386188447069,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1538618844706905,"endHours":8.15386188447069,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.15386188447069,"endHours":9.15386188447069,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.15386188447069,"endHours":10.15386188447069,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.15386188447069,"endHours":11.15386188447069,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.15386188447069,"endHours":12.15386188447069,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.15386188447069,"endHours":13.15386188447069,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.15386188447069,"endHours":14.15386188447069,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.15386188447069,"endHours":15.15386188447069,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.15386188447069,"endHours":16.15386188447069,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15386188447069,"endHours":17.15386188447069,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15386188447069,"endHours":18.15386188447069,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15386188447069,"endHours":19.15386188447069,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15386188447069,"endHours":20.15386188447069,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15386188447069,"endHours":21.15386188447069,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15386188447069,"endHours":22.15386188447069,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15386188447069,"endHours":23.15386188447069,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15386188447069,"endHours":24.15386188447069,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15386188447069,"endHours":25.15386188447069,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15386188447069,"endHours":26.15386188447069,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15386188447069,"endHours":27.15386188447069,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15386188447069,"endHours":28.15386188447069,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15386188447069,"endHours":29.15386188447069,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15386188447069,"endHours":30.15386188447069,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15386188447069,"endHours":31.15386188447069,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.165106596423367,"eotMinutes":-10.9643033372293,"ayanamsa":24.1052}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Tṛtīyā · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 20, 2018 CE · Badarīnāth · Vidhyamitra","description":"January 20, 2018 CE for Badarīnāth: Śukla Tṛtīyā, sūryodaya 07:09, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2018-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2018-01-20","sa":"https://sa.vidhyamitra.com/city/badrinath/2018-01-20","hi":"https://hi.vidhyamitra.com/city/badrinath/2018-01-20","x-default":"https://vidhyamitra.com/city/badrinath/2018-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:32:21.767Z","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":"2026-05-15T13:32:21.767Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:32:21.767Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}