{"id":"vidhyamitra:city-day:mathura:1920-10-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-10-29","date_display":"October 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422626.770833,"kali_year":5022,"ahargana":1834161.2708,"sun":{"sidereal_longitude":192.0708,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":29.5633,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.4925,"elapsed_within_tithi_degrees":5.4925},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.5633,"elapsed_within_degrees":2.8966},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.6341},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":1920,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422626.770833,"ahargana":1834161.2708,"kali_year":5022,"ayanamsa_lahiri":22.747,"grahas":{"sun":{"sidereal_longitude":192.57209899999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":31.776298999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-0.9542},"mars":{"sidereal_longitude":256.045799,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":217.49619899999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":140.41409899999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":224.303899,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":148.585799,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":197.3093,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.3093,"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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422626.770833,"kali_year":5022,"ahargana":1834161.2708,"sun":{"sidereal_longitude":192.0708,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":29.5633,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.4925,"elapsed_within_tithi_degrees":5.4925},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.5633,"elapsed_within_degrees":2.8966},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.6341},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.954,"elongation":162.507},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.954,"opposition_distance":17.493}},"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":"06:27","sunsetLocal":"17:39","solarNoonLocal":"12:03","dayLengthHours":11.187808302892414,"dayLengthDisplay":"11 Hours 11 Mins 16 Secs","nightLengthDisplay":"12 Hours 48 Mins 44 Secs","moonriseLocal":"18:36","moonsetLocal":"08:04","rahuKala":{"name":"Rāhu Kāla","start":"10:39","end":"12:03","startHours":10.649387380821395,"endHours":12.047863418682947,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:51","end":"16:15","startHours":14.84481549440605,"endHours":16.2432915322676,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:51","end":"09:15","startHours":7.852435305098292,"endHours":9.250911342959844,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.06444787124497,"endHours":9.437374814674717,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:13","startHours":6.920117946523924,"endHours":7.218459501267722,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:25","startHours":11.674936475253201,"endHours":12.420790362112694,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:42","startHours":4.962251493517752,"endHours":5.708105380377246,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:27","startHours":5.521641908662373,"endHours":6.4539592672367405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.912498135831683,"endHours":14.658352022691178,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.441767570129155,"endHours":17.841767570129154,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:06","startHours":17.641767570129154,"endHours":18.107926249416337,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.391767570129154,"endHours":19.141767570129154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:25","startHours":23.6749364752532,"endHours":24.420790362112694,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:27","end":"07:51","startHours":6.4539592672367405,"endHours":7.852435305098292,"quality":"neutral"},{"name":"Labha","start":"07:51","end":"09:15","startHours":7.852435305098292,"endHours":9.250911342959844,"quality":"auspicious"},{"name":"Amṛta","start":"09:15","end":"10:39","startHours":9.250911342959844,"endHours":10.649387380821395,"quality":"auspicious"},{"name":"Kāla","start":"10:39","end":"12:03","startHours":10.649387380821395,"endHours":12.047863418682947,"quality":"inauspicious"},{"name":"Śubha","start":"12:03","end":"13:27","startHours":12.047863418682947,"endHours":13.4463394565445,"quality":"auspicious"},{"name":"Roga","start":"13:27","end":"14:51","startHours":13.4463394565445,"endHours":14.84481549440605,"quality":"inauspicious"},{"name":"Udveg","start":"14:51","end":"16:15","startHours":14.84481549440605,"endHours":16.2432915322676,"quality":"inauspicious"},{"name":"Chala","start":"16:15","end":"17:39","startHours":16.2432915322676,"endHours":17.641767570129154,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:39","end":"19:15","startHours":17.641767570129154,"endHours":19.2432915322676,"quality":"inauspicious"},{"name":"Udveg","start":"19:15","end":"20:51","startHours":19.2432915322676,"endHours":20.84481549440605,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:27","startHours":20.84481549440605,"endHours":22.4463394565445,"quality":"neutral"},{"name":"Labha","start":"22:27","end":"00:03","startHours":22.4463394565445,"endHours":24.047863418682947,"quality":"auspicious"},{"name":"Amṛta","start":"00:03","end":"01:39","startHours":24.047863418682947,"endHours":25.649387380821395,"quality":"auspicious"},{"name":"Kāla","start":"01:39","end":"03:15","startHours":25.649387380821395,"endHours":27.250911342959846,"quality":"inauspicious"},{"name":"Śubha","start":"03:15","end":"04:51","startHours":27.250911342959846,"endHours":28.852435305098293,"quality":"auspicious"},{"name":"Roga","start":"04:51","end":"06:27","startHours":28.852435305098293,"endHours":30.45395926723674,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.4539592672367405,"endHours":7.4539592672367405,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.4539592672367405,"endHours":8.45395926723674,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.45395926723674,"endHours":9.45395926723674,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.45395926723674,"endHours":10.45395926723674,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.45395926723674,"endHours":11.45395926723674,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.45395926723674,"endHours":12.45395926723674,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.45395926723674,"endHours":13.45395926723674,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.45395926723674,"endHours":14.45395926723674,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.45395926723674,"endHours":15.45395926723674,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.45395926723674,"endHours":16.45395926723674,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.45395926723674,"endHours":17.45395926723674,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.45395926723674,"endHours":18.45395926723674,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.45395926723674,"endHours":19.45395926723674,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.45395926723674,"endHours":20.45395926723674,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.45395926723674,"endHours":21.45395926723674,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.45395926723674,"endHours":22.45395926723674,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.45395926723674,"endHours":23.45395926723674,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.45395926723674,"endHours":24.45395926723674,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.45395926723674,"endHours":25.45395926723674,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.45395926723674,"endHours":26.45395926723674,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.45395926723674,"endHours":27.45395926723674,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.45395926723674,"endHours":28.45395926723674,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.45395926723674,"endHours":29.45395926723674,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.45395926723674,"endHours":30.45395926723674,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-13.293593849201786,"eotMinutes":16.433394879023222,"ayanamsa":22.747}},"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 Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · 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":"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","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 29, 1920 CE · Mathurā · Vidhyamitra","description":"October 29, 1920 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 06:27, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-10-29","sa":"https://sa.vidhyamitra.com/city/mathura/1920-10-29","hi":"https://hi.vidhyamitra.com/city/mathura/1920-10-29","x-default":"https://vidhyamitra.com/city/mathura/1920-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:46:18.035Z","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":"2026-05-14T14:46:18.035Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:46:18.035Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}