{"id":"vidhyamitra:city-day:mathura:1920-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-01-11","date_display":"January 11, 1920 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":1920,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422334.770833,"kali_year":5021,"ahargana":1833869.2708,"sun":{"sidereal_longitude":266.826,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":152.4891,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.6631,"elapsed_within_tithi_degrees":5.6631},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.4891,"elapsed_within_degrees":5.8224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.315},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1920,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422334.770833,"ahargana":1833869.2708,"kali_year":5021,"ayanamsa_lahiri":22.7358,"grahas":{"sun":{"sidereal_longitude":266.78365600000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":154.26405599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-3.9075},"mars":{"sidereal_longitude":179.61975600000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.49415599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":113.660056,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":226.20855600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":139.064956,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":212.7808,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.7808,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":1920,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422334.770833,"kali_year":5021,"ahargana":1833869.2708,"sun":{"sidereal_longitude":266.826,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":152.4891,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.6631,"elapsed_within_tithi_degrees":5.6631},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.4891,"elapsed_within_degrees":5.8224},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.315},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.908,"elongation":114.337},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.908,"opposition_distance":65.663}},"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":"07:12","sunsetLocal":"17:43","solarNoonLocal":"12:27","dayLengthHours":10.518214850921574,"dayLengthDisplay":"10 Hours 31 Mins 06 Secs","nightLengthDisplay":"13 Hours 28 Mins 54 Secs","moonriseLocal":"22:52","moonsetLocal":"11:02","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:43","startHours":16.397525606345035,"endHours":17.71230246271023,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:27","end":"13:46","startHours":12.453195037249444,"endHours":13.76797189361464,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:05","end":"16:24","startHours":15.082748749979835,"endHours":16.397525606345035,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.648337743670357,"endHours":9.998944905367741,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.632346563910388,"endHours":7.912832293268297,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.102587875552057,"endHours":12.80380219894683,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:30","startHours":5.791658964999113,"endHours":6.492873288393884,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.317569707545191,"endHours":7.194087611788656,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.206230845736371,"endHours":14.907445169131142,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.51230246271023,"endHours":17.91230246271023,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.71230246271023,"endHours":18.150561414831962,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.46230246271023,"endHours":19.21230246271023,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.102587875552057,"endHours":24.80380219894683,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:12","end":"08:31","startHours":7.194087611788656,"endHours":8.508864468153853,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:49","startHours":8.508864468153853,"endHours":9.823641324519048,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:08","startHours":9.823641324519048,"endHours":11.138418180884246,"quality":"auspicious"},{"name":"Amṛta","start":"11:08","end":"12:27","startHours":11.138418180884246,"endHours":12.453195037249444,"quality":"auspicious"},{"name":"Kāla","start":"12:27","end":"13:46","startHours":12.453195037249444,"endHours":13.76797189361464,"quality":"inauspicious"},{"name":"Śubha","start":"13:46","end":"15:05","startHours":13.76797189361464,"endHours":15.082748749979835,"quality":"auspicious"},{"name":"Roga","start":"15:05","end":"16:24","startHours":15.082748749979835,"endHours":16.397525606345035,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:43","startHours":16.397525606345035,"endHours":17.71230246271023,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:43","end":"19:24","startHours":17.71230246271023,"endHours":19.397525606345035,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"21:05","startHours":19.397525606345035,"endHours":21.082748749979835,"quality":"inauspicious"},{"name":"Udveg","start":"21:05","end":"22:46","startHours":21.082748749979835,"endHours":22.76797189361464,"quality":"inauspicious"},{"name":"Chala","start":"22:46","end":"00:27","startHours":22.76797189361464,"endHours":24.453195037249444,"quality":"neutral"},{"name":"Labha","start":"00:27","end":"02:08","startHours":24.453195037249444,"endHours":26.138418180884248,"quality":"auspicious"},{"name":"Amṛta","start":"02:08","end":"03:49","startHours":26.138418180884248,"endHours":27.823641324519052,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:31","startHours":27.823641324519052,"endHours":29.508864468153853,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:12","startHours":29.508864468153853,"endHours":31.194087611788657,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.194087611788656,"endHours":8.194087611788657,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.194087611788657,"endHours":9.194087611788657,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.194087611788657,"endHours":10.194087611788657,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.194087611788657,"endHours":11.194087611788657,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.194087611788657,"endHours":12.194087611788657,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.194087611788657,"endHours":13.194087611788657,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.194087611788657,"endHours":14.194087611788657,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.194087611788657,"endHours":15.194087611788657,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.194087611788657,"endHours":16.194087611788657,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.194087611788657,"endHours":17.194087611788657,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.194087611788657,"endHours":18.194087611788657,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.194087611788657,"endHours":19.194087611788657,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.194087611788657,"endHours":20.194087611788657,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.194087611788657,"endHours":21.194087611788657,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.194087611788657,"endHours":22.194087611788657,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.194087611788657,"endHours":23.194087611788657,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.194087611788657,"endHours":24.194087611788657,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.194087611788657,"endHours":25.194087611788657,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.194087611788657,"endHours":26.194087611788657,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.194087611788657,"endHours":27.194087611788657,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.194087611788657,"endHours":28.194087611788657,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.194087611788657,"endHours":29.194087611788657,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.194087611788657,"endHours":30.194087611788657,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.194087611788657,"endHours":31.194087611788657,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.016526421653428,"eotMinutes":-7.886502234966622,"ayanamsa":22.7358}},"calendars":{"vikram_samvat":1977,"vikram_samvatsara":"Śrīmukha","saka_samvat":1842,"saka_samvatsara":"Raudra","bengali_samvat":1327,"malayalam_era":1096,"nanakshahi_year":451,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 11, 1920 CE · Mathurā · Vidhyamitra","description":"January 11, 1920 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:12, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-01-11","sa":"https://sa.vidhyamitra.com/city/mathura/1920-01-11","hi":"https://hi.vidhyamitra.com/city/mathura/1920-01-11","x-default":"https://vidhyamitra.com/city/mathura/1920-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:15:46.899Z","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":"2026-05-14T12:15:46.899Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:15:46.899Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}