{"id":"vidhyamitra:city-day:mathura:1920-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-10-20","date_display":"October 20, 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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422617.770833,"kali_year":5022,"ahargana":1834152.2708,"sun":{"sidereal_longitude":183.0697,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":275.1799,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.1103,"elapsed_within_tithi_degrees":8.1103},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.1799,"elapsed_within_degrees":8.5132},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2496},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422617.770833,"ahargana":1834152.2708,"kali_year":5022,"ayanamsa_lahiri":22.7466,"grahas":{"sun":{"sidereal_longitude":183.60004300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":273.732443,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.3913},"mars":{"sidereal_longitude":249.44094300000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":208.19734300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":138.836143,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":213.25304300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":147.63034300000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":197.7861,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.7861,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422617.770833,"kali_year":5022,"ahargana":1834152.2708,"sun":{"sidereal_longitude":183.0697,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":275.1799,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.1103,"elapsed_within_tithi_degrees":8.1103},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.1799,"elapsed_within_degrees":8.5132},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.2496},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.391,"elongation":92.11},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.391,"opposition_distance":87.89}},"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":"06:21","sunsetLocal":"17:46","solarNoonLocal":"12:04","dayLengthHours":11.413688416459543,"dayLengthDisplay":"11 Hours 24 Mins 49 Secs","nightLengthDisplay":"12 Hours 35 Mins 11 Secs","moonriseLocal":"12:47","moonsetLocal":"23:21","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:29","startHours":12.060138812596147,"endHours":13.486849864653589,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:47","end":"09:12","startHours":7.780005656423818,"endHours":9.20671670848126,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:04","startHours":10.633427760538703,"endHours":12.060138812596147,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.016488568206935,"endHours":9.396944848755586,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.828864955052189,"endHours":7.13322997949111,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.679682532047496,"endHours":12.440595093144799,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.831469482171769,"endHours":5.592382043269072,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.402153902994746,"endHours":6.353294604366375,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:43","startHours":13.962420215339403,"endHours":14.723332776436706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.56698302082592,"endHours":17.966983020825918,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:15","startHours":17.76698302082592,"endHours":18.242553371511733,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.51698302082592,"endHours":19.26698302082592,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.679682532047497,"endHours":24.440595093144797,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:21","end":"07:47","startHours":6.353294604366375,"endHours":7.780005656423818,"quality":"auspicious"},{"name":"Amṛta","start":"07:47","end":"09:12","startHours":7.780005656423818,"endHours":9.20671670848126,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:38","startHours":9.20671670848126,"endHours":10.633427760538703,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:04","startHours":10.633427760538703,"endHours":12.060138812596147,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:29","startHours":12.060138812596147,"endHours":13.486849864653589,"quality":"inauspicious"},{"name":"Udveg","start":"13:29","end":"14:55","startHours":13.486849864653589,"endHours":14.913560916711031,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:20","startHours":14.913560916711031,"endHours":16.340271968768477,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:46","startHours":16.340271968768477,"endHours":17.76698302082592,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:46","end":"19:20","startHours":17.76698302082592,"endHours":19.340271968768477,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"20:55","startHours":19.340271968768477,"endHours":20.913560916711035,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:29","startHours":20.913560916711035,"endHours":22.48684986465359,"quality":"auspicious"},{"name":"Amṛta","start":"22:29","end":"00:04","startHours":22.48684986465359,"endHours":24.060138812596147,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:38","startHours":24.060138812596147,"endHours":25.633427760538705,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:12","startHours":25.633427760538705,"endHours":27.20671670848126,"quality":"auspicious"},{"name":"Roga","start":"03:12","end":"04:47","startHours":27.20671670848126,"endHours":28.780005656423818,"quality":"inauspicious"},{"name":"Udveg","start":"04:47","end":"06:21","startHours":28.780005656423818,"endHours":30.353294604366376,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.353294604366375,"endHours":7.353294604366375,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.353294604366375,"endHours":8.353294604366376,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.353294604366376,"endHours":9.353294604366376,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.353294604366376,"endHours":10.353294604366376,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.353294604366376,"endHours":11.353294604366376,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.353294604366376,"endHours":12.353294604366376,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.353294604366376,"endHours":13.353294604366376,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.353294604366376,"endHours":14.353294604366376,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.353294604366376,"endHours":15.353294604366376,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.353294604366376,"endHours":16.353294604366376,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.353294604366376,"endHours":17.353294604366376,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.353294604366376,"endHours":18.353294604366376,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.353294604366376,"endHours":19.353294604366376,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.353294604366376,"endHours":20.353294604366376,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.353294604366376,"endHours":21.353294604366376,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.353294604366376,"endHours":22.353294604366376,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.353294604366376,"endHours":23.353294604366376,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.353294604366376,"endHours":24.353294604366376,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.353294604366376,"endHours":25.353294604366376,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.353294604366376,"endHours":26.353294604366376,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.353294604366376,"endHours":27.353294604366376,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.353294604366376,"endHours":28.353294604366376,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.353294604366376,"endHours":29.353294604366376,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.353294604366376,"endHours":30.353294604366376,"planetary_lord":"Sun"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.1667758571794,"eotMinutes":15.696871244231174,"ayanamsa":22.7466}},"calendars":{"vikram_samvat":1977,"vikram_samvatsara":"Śrīmukha","saka_samvat":1842,"saka_samvatsara":"Raudra","bengali_samvat":1327,"malayalam_era":1096,"nanakshahi_year":451,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Aṣṭamī · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 October 20, 1920 CE · Mathurā · Vidhyamitra","description":"October 20, 1920 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 06:21, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-10-20","sa":"https://sa.vidhyamitra.com/city/mathura/1920-10-20","hi":"https://hi.vidhyamitra.com/city/mathura/1920-10-20","x-default":"https://vidhyamitra.com/city/mathura/1920-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:14:15.309Z","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":"2026-05-14T17:14:15.309Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:14:15.309Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}