{"id":"vidhyamitra:city-day:badrinath:2091-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2091-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-01-20","date_display":"January 20, 2091 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":2091,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484801.770833,"kali_year":5192,"ahargana":1896336.2708,"sun":{"sidereal_longitude":274.7865,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":280.7266,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9401,"elapsed_within_tithi_degrees":5.9401},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.7266,"elapsed_within_degrees":0.7266},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.513},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2091,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484801.770833,"ahargana":1896336.2708,"kali_year":5192,"ayanamsa_lahiri":25.1249,"grahas":{"sun":{"sidereal_longitude":275.07905700000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":279.10245699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":3.0241},"mars":{"sidereal_longitude":149.221857,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":263.20495700000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":251.648457,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":229.96215699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":53.37035700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":142.9786,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.9786,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2091,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484801.770833,"kali_year":5192,"ahargana":1896336.2708,"sun":{"sidereal_longitude":274.7865,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":280.7266,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9401,"elapsed_within_tithi_degrees":5.9401},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.7266,"elapsed_within_degrees":0.7266},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.513},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.024,"elongation":5.94},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.024,"opposition_distance":174.06}},"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":10.464074161083637,"dayLengthDisplay":"10 Hours 27 Mins 51 Secs","nightLengthDisplay":"13 Hours 32 Mins 09 Secs","moonriseLocal":"07:24","moonsetLocal":"17:54","rahuKala":{"name":"Rāhu Kāla","start":"09:46","end":"11:05","startHours":9.767133182016249,"endHours":11.075142452151702,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"15:00","startHours":13.691160992422612,"endHours":14.999170262558067,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:28","startHours":7.151114641745338,"endHours":8.459123911880793,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:56","startHours":9.592731945998187,"endHours":9.941534418034308,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.58711773179049,"endHours":7.866159709419387,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.034349250251035,"endHours":12.731954194323277,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.755904753600854,"endHours":6.453509697673096,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.279108461655035,"endHours":7.151114641745338,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:49","startHours":14.127164082467765,"endHours":14.824769026540007,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.415188802828975,"endHours":17.815188802828974,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.615188802828975,"endHours":18.051191892874126,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.365188802828975,"endHours":19.115188802828975,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.034349250251037,"endHours":24.731954194323276,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:09","end":"08:28","startHours":7.151114641745338,"endHours":8.459123911880793,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:46","startHours":8.459123911880793,"endHours":9.767133182016249,"quality":"auspicious"},{"name":"Roga","start":"09:46","end":"11:05","startHours":9.767133182016249,"endHours":11.075142452151702,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:23","startHours":11.075142452151702,"endHours":12.383151722287156,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:41","startHours":12.383151722287156,"endHours":13.691160992422612,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"15:00","startHours":13.691160992422612,"endHours":14.999170262558067,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:18","startHours":14.999170262558067,"endHours":16.30717953269352,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:37","startHours":16.30717953269352,"endHours":17.615188802828975,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:18","startHours":17.615188802828975,"endHours":19.30717953269352,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"21:00","startHours":19.30717953269352,"endHours":20.999170262558067,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:41","startHours":20.999170262558067,"endHours":22.69116099242261,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:23","startHours":22.69116099242261,"endHours":24.383151722287156,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:05","startHours":24.383151722287156,"endHours":26.075142452151702,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:46","startHours":26.075142452151702,"endHours":27.767133182016245,"quality":"inauspicious"},{"name":"Chala","start":"03:46","end":"05:28","startHours":27.767133182016245,"endHours":29.45912391188079,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:09","startHours":29.45912391188079,"endHours":31.151114641745338,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.151114641745338,"endHours":8.151114641745338,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.151114641745338,"endHours":9.151114641745338,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.151114641745338,"endHours":10.151114641745338,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.151114641745338,"endHours":11.151114641745338,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.151114641745338,"endHours":12.151114641745338,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.151114641745338,"endHours":13.151114641745338,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.151114641745338,"endHours":14.151114641745338,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.151114641745338,"endHours":15.151114641745338,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.151114641745338,"endHours":16.151114641745338,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.151114641745338,"endHours":17.151114641745338,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.151114641745338,"endHours":18.151114641745338,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.151114641745338,"endHours":19.151114641745338,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.151114641745338,"endHours":20.151114641745338,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.151114641745338,"endHours":21.151114641745338,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.151114641745338,"endHours":22.151114641745338,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.151114641745338,"endHours":23.151114641745338,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.151114641745338,"endHours":24.151114641745338,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.151114641745338,"endHours":25.151114641745338,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.151114641745338,"endHours":26.151114641745338,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.151114641745338,"endHours":27.151114641745338,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.151114641745338,"endHours":28.151114641745338,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.151114641745338,"endHours":29.151114641745338,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.151114641745338,"endHours":30.151114641745338,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.151114641745338,"endHours":31.151114641745338,"planetary_lord":"Mercury"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.10467549212806,"eotMinutes":-10.9643033372293,"ayanamsa":25.1249}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"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, 2091 CE · Badarīnāth · Vidhyamitra","description":"January 20, 2091 CE for Badarīnāth: Śukla Pratipada, sūryodaya 07:09, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2091-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2091-01-20","sa":"https://sa.vidhyamitra.com/city/badrinath/2091-01-20","hi":"https://hi.vidhyamitra.com/city/badrinath/2091-01-20","x-default":"https://vidhyamitra.com/city/badrinath/2091-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:16:09.230Z","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":"2026-06-01T21:16:09.230Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:16:09.230Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}