{"id":"vidhyamitra:city-day:mathura:1920-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-01-05","date_display":"January 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422328.770833,"kali_year":5021,"ahargana":1833863.2708,"sun":{"sidereal_longitude":260.6591,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.5337,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.8746,"elapsed_within_tithi_degrees":1.8746},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.5337,"elapsed_within_degrees":3.8671},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.1929},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422328.770833,"ahargana":1833863.2708,"kali_year":5021,"ayanamsa_lahiri":22.7356,"grahas":{"sun":{"sidereal_longitude":260.66888500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":68.97218499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-2.7336},"mars":{"sidereal_longitude":176.81798500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":243.68338500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":114.26818500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":219.114285,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":139.229985,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":213.0987,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":33.0987,"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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422328.770833,"kali_year":5021,"ahargana":1833863.2708,"sun":{"sidereal_longitude":260.6591,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.5337,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.8746,"elapsed_within_tithi_degrees":1.8746},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.5337,"elapsed_within_degrees":3.8671},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.1929},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.734,"elongation":169.875},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.734,"opposition_distance":10.125}},"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":"07:11","sunsetLocal":"17:38","solarNoonLocal":"12:25","dayLengthHours":10.457279290133153,"dayLengthDisplay":"10 Hours 27 Mins 26 Secs","nightLengthDisplay":"13 Hours 32 Mins 34 Secs","moonriseLocal":"16:43","moonsetLocal":"06:33","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:48","startHours":8.49115310993612,"endHours":9.798313021202762,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:25","startHours":11.105472932469407,"endHours":12.412632843736052,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:02","startHours":13.719792755002695,"endHours":15.02695266626934,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.624025033033877,"endHours":9.97260100937165,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.619713169091689,"endHours":7.898573950161906,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.06405686739828,"endHours":12.761208820073824,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.789689293318387,"endHours":6.486841245993931,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.312553257825045,"endHours":7.183993198669475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.15551272542491,"endHours":14.852664678100453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.44127248880263,"endHours":17.841272488802627,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:05","startHours":17.641272488802628,"endHours":18.076992459224844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.391272488802628,"endHours":19.141272488802628,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.064056867398282,"endHours":24.761208820073822,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:29","startHours":7.183993198669475,"endHours":8.49115310993612,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:48","startHours":8.49115310993612,"endHours":9.798313021202762,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:06","startHours":9.798313021202762,"endHours":11.105472932469407,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:25","startHours":11.105472932469407,"endHours":12.412632843736052,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:43","startHours":12.412632843736052,"endHours":13.719792755002695,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:02","startHours":13.719792755002695,"endHours":15.02695266626934,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:20","startHours":15.02695266626934,"endHours":16.334112577535983,"quality":"auspicious"},{"name":"Amṛta","start":"16:20","end":"17:38","startHours":16.334112577535983,"endHours":17.641272488802628,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:38","end":"19:20","startHours":17.641272488802628,"endHours":19.334112577535983,"quality":"neutral"},{"name":"Labha","start":"19:20","end":"21:02","startHours":19.334112577535983,"endHours":21.026952666269338,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:43","startHours":21.026952666269338,"endHours":22.719792755002693,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:25","startHours":22.719792755002693,"endHours":24.412632843736052,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:06","startHours":24.412632843736052,"endHours":26.105472932469407,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:48","startHours":26.105472932469407,"endHours":27.798313021202762,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:29","startHours":27.798313021202762,"endHours":29.49115310993612,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:11","startHours":29.49115310993612,"endHours":31.183993198669476,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.183993198669475,"endHours":8.183993198669475,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.183993198669475,"endHours":9.183993198669475,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.183993198669475,"endHours":10.183993198669475,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.183993198669475,"endHours":11.183993198669475,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.183993198669475,"endHours":12.183993198669475,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.183993198669475,"endHours":13.183993198669475,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.183993198669475,"endHours":14.183993198669475,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.183993198669475,"endHours":15.183993198669475,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.183993198669475,"endHours":16.183993198669476,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.183993198669476,"endHours":17.183993198669476,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.183993198669476,"endHours":18.183993198669476,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.183993198669476,"endHours":19.183993198669476,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.183993198669476,"endHours":20.183993198669476,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.183993198669476,"endHours":21.183993198669476,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.183993198669476,"endHours":22.183993198669476,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.183993198669476,"endHours":23.183993198669476,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.183993198669476,"endHours":24.183993198669476,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.183993198669476,"endHours":25.183993198669476,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.183993198669476,"endHours":26.183993198669476,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.183993198669476,"endHours":27.183993198669476,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.183993198669476,"endHours":28.183993198669476,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.183993198669476,"endHours":29.183993198669476,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.183993198669476,"endHours":30.183993198669476,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.183993198669476,"endHours":31.183993198669476,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-22.761579308797025,"eotMinutes":-5.452770624163118,"ayanamsa":22.7356}},"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 Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 5, 1920 CE · Mathurā · Vidhyamitra","description":"January 5, 1920 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-01-05","sa":"https://sa.vidhyamitra.com/city/mathura/1920-01-05","hi":"https://hi.vidhyamitra.com/city/mathura/1920-01-05","x-default":"https://vidhyamitra.com/city/mathura/1920-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:41:34.608Z","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":"2026-05-14T15:41:34.608Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:41:34.608Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}