{"id":"vidhyamitra:city-day:mathura:1901-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1901-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1901-08-20","date_display":"August 20, 1901 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":1901,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415616.770833,"kali_year":5003,"ahargana":1827151.2708,"sun":{"sidereal_longitude":123.4258,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":190.9832,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.5573,"elapsed_within_tithi_degrees":7.5573},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.9832,"elapsed_within_degrees":4.3165},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.409},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":1901,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415616.770833,"ahargana":1827151.2708,"kali_year":5003,"ayanamsa_lahiri":22.4789,"grahas":{"sun":{"sidereal_longitude":123.82903299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":188.99133299999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-1.3706},"mars":{"sidereal_longitude":181.32993299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":117.14453300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":252.34723299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"venus":{"sidereal_longitude":154.683533,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":259.11823300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":208.7328,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.7328,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1901,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415616.770833,"kali_year":5003,"ahargana":1827151.2708,"sun":{"sidereal_longitude":123.4258,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":190.9832,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.5573,"elapsed_within_tithi_degrees":7.5573},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.9832,"elapsed_within_degrees":4.3165},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.409},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.371,"elongation":67.557},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.371,"opposition_distance":112.443}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:51","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.030792693354655,"dayLengthDisplay":"13 Hours 01 Mins 51 Secs","nightLengthDisplay":"10 Hours 58 Mins 09 Secs","moonriseLocal":"11:06","moonsetLocal":"22:20","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:16","startHours":15.630285021847502,"endHours":17.259134108516832,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:45","startHours":9.114888675170175,"endHours":10.743737761839505,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":14.001435935178169,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.897708796947596,"endHours":9.332068553392752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.4001401973879535,"endHours":6.747628002544078,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.938227092063682,"endHours":12.806946604953994,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.119751476050889,"endHours":4.9884709889412,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.7712911107186216,"endHours":5.85719050183151,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.544385630734613,"endHours":15.413105143624923,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.687983195186167,"endHours":19.087983195186165,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.887983195186166,"endHours":19.43093289074261,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.637983195186166,"endHours":20.387983195186166,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.938227092063684,"endHours":24.806946604953993,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:51","end":"07:29","startHours":5.85719050183151,"endHours":7.486039588500842,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:07","startHours":7.486039588500842,"endHours":9.114888675170175,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:45","startHours":9.114888675170175,"endHours":10.743737761839505,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:22","startHours":10.743737761839505,"endHours":12.372586848508838,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":14.001435935178169,"quality":"auspicious"},{"name":"Kāla","start":"14:00","end":"15:38","startHours":14.001435935178169,"endHours":15.630285021847502,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:16","startHours":15.630285021847502,"endHours":17.259134108516832,"quality":"auspicious"},{"name":"Roga","start":"17:16","end":"18:53","startHours":17.259134108516832,"endHours":18.887983195186166,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:53","end":"20:16","startHours":18.887983195186166,"endHours":20.259134108516832,"quality":"inauspicious"},{"name":"Śubha","start":"20:16","end":"21:38","startHours":20.259134108516832,"endHours":21.630285021847502,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"23:00","startHours":21.630285021847502,"endHours":23.001435935178172,"quality":"inauspicious"},{"name":"Udveg","start":"23:00","end":"00:22","startHours":23.001435935178172,"endHours":24.37258684850884,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"01:45","startHours":24.37258684850884,"endHours":25.743737761839505,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:07","startHours":25.743737761839505,"endHours":27.114888675170175,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:29","startHours":27.114888675170175,"endHours":28.486039588500844,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:51","startHours":28.486039588500844,"endHours":29.85719050183151,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.85719050183151,"endHours":6.85719050183151,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.85719050183151,"endHours":7.85719050183151,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.85719050183151,"endHours":8.85719050183151,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.85719050183151,"endHours":9.85719050183151,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.85719050183151,"endHours":10.85719050183151,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.85719050183151,"endHours":11.85719050183151,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.85719050183151,"endHours":12.85719050183151,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.85719050183151,"endHours":13.85719050183151,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.85719050183151,"endHours":14.85719050183151,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.85719050183151,"endHours":15.85719050183151,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.85719050183151,"endHours":16.85719050183151,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.85719050183151,"endHours":17.85719050183151,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.85719050183151,"endHours":18.85719050183151,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.85719050183151,"endHours":19.85719050183151,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.85719050183151,"endHours":20.85719050183151,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.85719050183151,"endHours":21.85719050183151,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.85719050183151,"endHours":22.85719050183151,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.85719050183151,"endHours":23.85719050183151,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.85719050183151,"endHours":24.85719050183151,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.85719050183151,"endHours":25.85719050183151,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.85719050183151,"endHours":26.85719050183151,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.85719050183151,"endHours":27.85719050183151,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.85719050183151,"endHours":28.85719050183151,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.85719050183151,"endHours":29.85719050183151,"planetary_lord":"Saturn"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.74626317579052,"eotMinutes":-3.0500109105302213,"ayanamsa":22.4789}},"calendars":{"vikram_samvat":1958,"vikram_samvatsara":"Ānanda","saka_samvat":1823,"saka_samvatsara":"Plava","bengali_samvat":1308,"malayalam_era":1077,"nanakshahi_year":432,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ṣaṣṭhī · Vikram 1958 Ānanda · Śaka 1823 Plava"},"festivals":[{"id":"subrahmanya-shashthi","name":"Subrahmaṇya Ṣaṣṭhī","name_sanskrit":"सुब्रह्मण्य षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya","significance":"Worship of Kārttikeya as Subrahmaṇya.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 20, 1901 CE · Mathurā · Vidhyamitra","description":"August 20, 1901 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:51, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1901-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1901-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/1901-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/1901-08-20","x-default":"https://vidhyamitra.com/city/mathura/1901-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:33:11.864Z","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":"2026-05-14T18:33:11.864Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:33:11.864Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}