{"id":"vidhyamitra:city-day:mathura:1909-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1909-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1909-08-20","date_display":"August 20, 1909 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":1909,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418538.770833,"kali_year":5011,"ahargana":1830073.2708,"sun":{"sidereal_longitude":123.3587,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":171.5811,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2224,"elapsed_within_tithi_degrees":0.2224},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5811,"elapsed_within_degrees":11.5811},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.9398},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1909,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2418538.770833,"ahargana":1830073.2708,"kali_year":5011,"ayanamsa_lahiri":22.5906,"grahas":{"sun":{"sidereal_longitude":123.78069099999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":168.50829099999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":3.9845},"mars":{"sidereal_longitude":345.386391,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":139.662691,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":147.320491,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":155.06989099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":1.613691000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":53.9112,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":233.9112,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":1909,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2418538.770833,"kali_year":5011,"ahargana":1830073.2708,"sun":{"sidereal_longitude":123.3587,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":171.5811,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2224,"elapsed_within_tithi_degrees":0.2224},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5811,"elapsed_within_degrees":11.5811},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.9398},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.984,"elongation":48.222},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.984,"opposition_distance":131.778}},"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":13.029199072302589,"dayLengthDisplay":"13 Hours 01 Mins 45 Secs","nightLengthDisplay":"10 Hours 58 Mins 15 Secs","moonriseLocal":"09:28","moonsetLocal":"21:15","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:22","startHours":10.743936964471015,"endHours":12.372586848508838,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:16","startHours":15.629886616584486,"endHours":17.25853650062231,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:29","end":"09:07","startHours":7.486637196395367,"endHours":9.115287080433191,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.89813376256148,"endHours":9.3324403983049,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.4008706070368175,"endHours":6.7483159156315535,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.938280212765418,"endHours":12.806893484252258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.120760769383864,"endHours":4.989374040870704,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.772220722998994,"endHours":5.857987312357543,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.544120027225937,"endHours":15.412733298712777,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.687186384660134,"endHours":19.087186384660132,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.887186384660133,"endHours":19.430069679339407,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.637186384660133,"endHours":20.387186384660133,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.93828021276542,"endHours":24.806893484252257,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:51","end":"07:29","startHours":5.857987312357543,"endHours":7.486637196395367,"quality":"neutral"},{"name":"Labha","start":"07:29","end":"09:07","startHours":7.486637196395367,"endHours":9.115287080433191,"quality":"auspicious"},{"name":"Amṛta","start":"09:07","end":"10:45","startHours":9.115287080433191,"endHours":10.743936964471015,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:22","startHours":10.743936964471015,"endHours":12.372586848508838,"quality":"inauspicious"},{"name":"Śubha","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":14.001236732546662,"quality":"auspicious"},{"name":"Roga","start":"14:00","end":"15:38","startHours":14.001236732546662,"endHours":15.629886616584486,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:16","startHours":15.629886616584486,"endHours":17.25853650062231,"quality":"inauspicious"},{"name":"Chala","start":"17:16","end":"18:53","startHours":17.25853650062231,"endHours":18.887186384660133,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:53","end":"20:16","startHours":18.887186384660133,"endHours":20.25853650062231,"quality":"inauspicious"},{"name":"Udveg","start":"20:16","end":"21:38","startHours":20.25853650062231,"endHours":21.629886616584486,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"23:00","startHours":21.629886616584486,"endHours":23.001236732546662,"quality":"neutral"},{"name":"Labha","start":"23:00","end":"00:22","startHours":23.001236732546662,"endHours":24.37258684850884,"quality":"auspicious"},{"name":"Amṛta","start":"00:22","end":"01:45","startHours":24.37258684850884,"endHours":25.743936964471015,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:07","startHours":25.743936964471015,"endHours":27.11528708043319,"quality":"inauspicious"},{"name":"Śubha","start":"03:07","end":"04:29","startHours":27.11528708043319,"endHours":28.486637196395368,"quality":"auspicious"},{"name":"Roga","start":"04:29","end":"05:51","startHours":28.486637196395368,"endHours":29.857987312357544,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.857987312357543,"endHours":6.857987312357543,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.857987312357543,"endHours":7.857987312357543,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.857987312357543,"endHours":8.857987312357544,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.857987312357544,"endHours":9.857987312357544,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.857987312357544,"endHours":10.857987312357544,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.857987312357544,"endHours":11.857987312357544,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.857987312357544,"endHours":12.857987312357544,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.857987312357544,"endHours":13.857987312357544,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.857987312357544,"endHours":14.857987312357544,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.857987312357544,"endHours":15.857987312357544,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.857987312357544,"endHours":16.857987312357544,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.857987312357544,"endHours":17.857987312357544,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.857987312357544,"endHours":18.857987312357544,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.857987312357544,"endHours":19.857987312357544,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.857987312357544,"endHours":20.857987312357544,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.857987312357544,"endHours":21.857987312357544,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.857987312357544,"endHours":22.857987312357544,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.857987312357544,"endHours":23.857987312357544,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.857987312357544,"endHours":24.857987312357544,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.857987312357544,"endHours":25.857987312357544,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.857987312357544,"endHours":26.857987312357544,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.857987312357544,"endHours":27.857987312357544,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.857987312357544,"endHours":28.857987312357544,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.857987312357544,"endHours":29.857987312357544,"planetary_lord":"Mars"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.724759631605863,"eotMinutes":-3.0500109105302213,"ayanamsa":22.5906}},"calendars":{"vikram_samvat":1966,"vikram_samvatsara":"Dundubhi","saka_samvat":1831,"saka_samvatsara":"Saumya","bengali_samvat":1316,"malayalam_era":1085,"nanakshahi_year":440,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pañcamī · Vikram 1966 Dundubhi · Śaka 1831 Saumya"},"festivals":[{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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, 1909 CE · Mathurā · Vidhyamitra","description":"August 20, 1909 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:51, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1909-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1909-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/1909-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/1909-08-20","x-default":"https://vidhyamitra.com/city/mathura/1909-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:30:55.416Z","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":"2026-05-14T18:30:55.416Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:30:55.416Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}