{"id":"vidhyamitra:city-day:vrindavan:1950-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1950-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-10-15","date_display":"October 15, 1950 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":1950,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433569.770833,"kali_year":5052,"ahargana":1845104.2708,"sun":{"sidereal_longitude":177.3358,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":222.877,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.5413,"elapsed_within_tithi_degrees":9.5413},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.877,"elapsed_within_degrees":9.5437},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.2128},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":1950,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433569.770833,"ahargana":1845104.2708,"kali_year":5052,"ayanamsa_lahiri":23.1655,"grahas":{"sun":{"sidereal_longitude":177.95119599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":226.34799599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-4.0902},"mars":{"sidereal_longitude":231.15699599999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":166.38029600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":305.44099600000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":171.04209600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":153.29589599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":337.4965,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":157.4965,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"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":1950,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433569.770833,"kali_year":5052,"ahargana":1845104.2708,"sun":{"sidereal_longitude":177.3358,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":222.877,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.5413,"elapsed_within_tithi_degrees":9.5413},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.877,"elapsed_within_degrees":9.5437},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.2128},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.09,"elongation":45.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.09,"opposition_distance":134.459}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":0.007,"opposition_distance":0.001}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:18","sunsetLocal":"17:51","solarNoonLocal":"12:05","dayLengthHours":11.54894757300259,"dayLengthDisplay":"11 Hours 32 Mins 56 Secs","nightLengthDisplay":"12 Hours 27 Mins 04 Secs","moonriseLocal":"10:04","moonsetLocal":"20:33","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:51","startHours":16.405954833687503,"endHours":17.84957328031283,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:31","startHours":12.075099493811532,"endHours":13.518717940436858,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:58","end":"16:24","startHours":14.96233638706218,"endHours":16.405954833687503,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.995380141010841,"endHours":9.380345060110928,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.781831856185346,"endHours":7.089803791465415,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.690134574711447,"endHours":12.46006441291162,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.760766030909893,"endHours":5.530695869110065,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:18","startHours":5.338213409560022,"endHours":6.300625707310238,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.999924089311964,"endHours":14.769853927512136,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.64957328031283,"endHours":18.049573280312828,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:20","startHours":17.84957328031283,"endHours":18.330779429187935,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.59957328031283,"endHours":19.34957328031283,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.69013457471145,"endHours":24.46006441291162,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:18","end":"07:45","startHours":6.300625707310238,"endHours":7.744244153935561,"quality":"inauspicious"},{"name":"Chala","start":"07:45","end":"09:11","startHours":7.744244153935561,"endHours":9.187862600560885,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:38","startHours":9.187862600560885,"endHours":10.63148104718621,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:05","startHours":10.63148104718621,"endHours":12.075099493811532,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:31","startHours":12.075099493811532,"endHours":13.518717940436858,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:58","startHours":13.518717940436858,"endHours":14.96233638706218,"quality":"auspicious"},{"name":"Roga","start":"14:58","end":"16:24","startHours":14.96233638706218,"endHours":16.405954833687503,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:51","startHours":16.405954833687503,"endHours":17.84957328031283,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:51","end":"19:24","startHours":17.84957328031283,"endHours":19.405954833687506,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"20:58","startHours":19.405954833687506,"endHours":20.96233638706218,"quality":"inauspicious"},{"name":"Udveg","start":"20:58","end":"22:31","startHours":20.96233638706218,"endHours":22.518717940436858,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:05","startHours":22.518717940436858,"endHours":24.075099493811535,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:38","startHours":24.075099493811535,"endHours":25.63148104718621,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:11","startHours":25.63148104718621,"endHours":27.187862600560887,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:45","startHours":27.187862600560887,"endHours":28.74424415393556,"quality":"inauspicious"},{"name":"Śubha","start":"04:45","end":"06:18","startHours":28.74424415393556,"endHours":30.30062570731024,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.300625707310238,"endHours":7.300625707310238,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.300625707310238,"endHours":8.300625707310239,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.300625707310239,"endHours":9.300625707310239,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.300625707310239,"endHours":10.300625707310239,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.300625707310239,"endHours":11.300625707310239,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.300625707310239,"endHours":12.300625707310239,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.300625707310239,"endHours":13.300625707310239,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.300625707310239,"endHours":14.300625707310239,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.300625707310239,"endHours":15.300625707310239,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.300625707310239,"endHours":16.30062570731024,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.30062570731024,"endHours":17.30062570731024,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.30062570731024,"endHours":18.30062570731024,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.30062570731024,"endHours":19.30062570731024,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.30062570731024,"endHours":20.30062570731024,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.30062570731024,"endHours":21.30062570731024,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.30062570731024,"endHours":22.30062570731024,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.30062570731024,"endHours":23.30062570731024,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.30062570731024,"endHours":24.30062570731024,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.30062570731024,"endHours":25.30062570731024,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.30062570731024,"endHours":26.30062570731024,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.30062570731024,"endHours":27.30062570731024,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.30062570731024,"endHours":28.30062570731024,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.30062570731024,"endHours":29.30062570731024,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.30062570731024,"endHours":30.30062570731024,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.238300601634176,"eotMinutes":14.85683037130801,"ayanamsa":23.1655}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 15, 1950 CE · Vṛndāvana · Vidhyamitra","description":"October 15, 1950 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:18, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1950-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1950-10-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/1950-10-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/1950-10-15","x-default":"https://vidhyamitra.com/city/vrindavan/1950-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:22:29.355Z","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":"2026-06-03T00:22:29.355Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:22:29.355Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}