{"id":"vidhyamitra:city-day:badrinath:2016-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2016-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-09-20","date_display":"September 20, 2016 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":2016,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457651.770833,"kali_year":5118,"ahargana":1869186.2708,"sun":{"sidereal_longitude":152.6544,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":14.8397,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.1853,"elapsed_within_tithi_degrees":6.1853},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.8397,"elapsed_within_degrees":1.5064},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.494},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2016,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457651.770833,"ahargana":1869186.2708,"kali_year":5118,"ayanamsa_lahiri":24.0866,"grahas":{"sun":{"sidereal_longitude":153.43088699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":18.280187000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-3.6078},"mars":{"sidereal_longitude":241.06888700000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":141.02358700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":157.60908700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":181.32148699999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":226.62048700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":141.5162,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":321.5162,"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":2016,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457651.770833,"kali_year":5118,"ahargana":1869186.2708,"sun":{"sidereal_longitude":152.6544,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":14.8397,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.1853,"elapsed_within_tithi_degrees":6.1853},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.8397,"elapsed_within_degrees":1.5064},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.494},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.608,"elongation":137.815},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.608,"opposition_distance":42.185}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":-0.832,"elongation":2.371},{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-0.783,"opposition_distance":1.976}]},"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":"05:58","sunsetLocal":"18:11","solarNoonLocal":"12:05","dayLengthHours":12.207557539004386,"dayLengthDisplay":"12 Hours 12 Mins 27 Secs","nightLengthDisplay":"11 Hours 47 Mins 33 Secs","moonriseLocal":"20:23","moonsetLocal":"09:45","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:39","startHours":15.12985413872519,"endHours":16.65579883110074,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:33","startHours":9.026075369222996,"endHours":10.552020061598544,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:05","end":"13:36","startHours":12.077964753974094,"endHours":13.60390944634964,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:14","startHours":8.822616076906257,"endHours":9.229534661539736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.4828342152637495,"endHours":6.8083690829705334,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:29","startHours":11.671046169340613,"endHours":12.484883338607574,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:10","startHours":4.346511645937982,"endHours":5.160348815204941,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:58","startHours":4.956889522888201,"endHours":5.9741859844719,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:56","startHours":14.11255767714149,"endHours":14.92639484640845,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.981743523476286,"endHours":18.381743523476285,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:41","startHours":18.181743523476285,"endHours":18.690391754268134,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.931743523476285,"endHours":19.681743523476285,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:29","startHours":23.671046169340613,"endHours":24.484883338607574,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:58","end":"07:30","startHours":5.9741859844719,"endHours":7.500130676847448,"quality":"inauspicious"},{"name":"Udveg","start":"07:30","end":"09:02","startHours":7.500130676847448,"endHours":9.026075369222996,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:33","startHours":9.026075369222996,"endHours":10.552020061598544,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"12:05","startHours":10.552020061598544,"endHours":12.077964753974094,"quality":"auspicious"},{"name":"Amṛta","start":"12:05","end":"13:36","startHours":12.077964753974094,"endHours":13.60390944634964,"quality":"auspicious"},{"name":"Kāla","start":"13:36","end":"15:08","startHours":13.60390944634964,"endHours":15.12985413872519,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:39","startHours":15.12985413872519,"endHours":16.65579883110074,"quality":"auspicious"},{"name":"Roga","start":"16:39","end":"18:11","startHours":16.65579883110074,"endHours":18.181743523476285,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:11","end":"19:39","startHours":18.181743523476285,"endHours":19.655798831100736,"quality":"inauspicious"},{"name":"Śubha","start":"19:39","end":"21:08","startHours":19.655798831100736,"endHours":21.12985413872519,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:36","startHours":21.12985413872519,"endHours":22.60390944634964,"quality":"inauspicious"},{"name":"Udveg","start":"22:36","end":"00:05","startHours":22.60390944634964,"endHours":24.077964753974094,"quality":"inauspicious"},{"name":"Chala","start":"00:05","end":"01:33","startHours":24.077964753974094,"endHours":25.552020061598544,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"03:02","startHours":25.552020061598544,"endHours":27.026075369222994,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:30","startHours":27.026075369222994,"endHours":28.500130676847448,"quality":"auspicious"},{"name":"Kāla","start":"04:30","end":"05:58","startHours":28.500130676847448,"endHours":29.9741859844719,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.9741859844719,"endHours":6.9741859844719,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.9741859844719,"endHours":7.9741859844719,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.9741859844719,"endHours":8.9741859844719,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.9741859844719,"endHours":9.9741859844719,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.9741859844719,"endHours":10.9741859844719,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.9741859844719,"endHours":11.9741859844719,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.9741859844719,"endHours":12.9741859844719,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.9741859844719,"endHours":13.9741859844719,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.9741859844719,"endHours":14.9741859844719,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.9741859844719,"endHours":15.9741859844719,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.9741859844719,"endHours":16.9741859844719,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.9741859844719,"endHours":17.9741859844719,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.9741859844719,"endHours":18.9741859844719,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.9741859844719,"endHours":19.9741859844719,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.9741859844719,"endHours":20.9741859844719,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.9741859844719,"endHours":21.9741859844719,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.9741859844719,"endHours":22.9741859844719,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.9741859844719,"endHours":23.9741859844719,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.9741859844719,"endHours":24.9741859844719,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.9741859844719,"endHours":25.9741859844719,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.9741859844719,"endHours":26.9741859844719,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.9741859844719,"endHours":27.9741859844719,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.9741859844719,"endHours":28.9741859844719,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.9741859844719,"endHours":29.9741859844719,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.9871159296039992,"eotMinutes":7.346914761554353,"ayanamsa":24.0866}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"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":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"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":"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 September 20, 2016 CE · Badarīnāth · Vidhyamitra","description":"September 20, 2016 CE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 05:58, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2016-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2016-09-20","sa":"https://sa.vidhyamitra.com/city/badrinath/2016-09-20","hi":"https://hi.vidhyamitra.com/city/badrinath/2016-09-20","x-default":"https://vidhyamitra.com/city/badrinath/2016-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:21:49.109Z","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":"2026-06-02T06:21:49.109Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:21:49.109Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}