{"id":"vidhyamitra:city-day:vrindavan:1920-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1920-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-12-11","date_display":"December 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":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422669.770833,"kali_year":5022,"ahargana":1834204.2708,"sun":{"sidereal_longitude":235.739,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":244.446,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.707,"elapsed_within_tithi_degrees":8.707},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.446,"elapsed_within_degrees":4.446},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.185},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":12,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422669.770833,"ahargana":1834204.2708,"kali_year":5022,"ayanamsa_lahiri":22.7486,"grahas":{"sun":{"sidereal_longitude":235.96385599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":242.74145599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":3.416},"mars":{"sidereal_longitude":288.70125600000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":218.03245600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":145.812256,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":276.622656,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":151.85855600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":195.0309,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.0309,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"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":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422669.770833,"kali_year":5022,"ahargana":1834204.2708,"sun":{"sidereal_longitude":235.739,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":244.446,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.707,"elapsed_within_tithi_degrees":8.707},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.446,"elapsed_within_degrees":4.446},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.185},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.416,"elongation":8.707},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.416,"opposition_distance":171.293}},"eclipse_window_40days":[]},"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":"07:00","sunsetLocal":"17:26","solarNoonLocal":"12:13","dayLengthHours":10.435946159532769,"dayLengthDisplay":"10 Hours 26 Mins 09 Secs","nightLengthDisplay":"13 Hours 33 Mins 51 Secs","moonriseLocal":"07:30","moonsetLocal":"17:51","rahuKala":{"name":"Rāhu Kāla","start":"09:37","end":"10:55","startHours":9.613925415374592,"endHours":10.918418685316189,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"14:50","startHours":13.52740522519938,"endHours":14.831898495140976,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:00","end":"08:19","startHours":7.0049388754914,"endHours":8.309432145432996,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:47","startHours":9.43999297938238,"endHours":9.787857851366805,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.439769965471933,"endHours":7.718061863059473,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.87504708327336,"endHours":12.570776827242211,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:37","end":"06:19","startHours":5.6134793875536975,"endHours":6.309209131522549,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:00","startHours":6.135276695530337,"endHours":7.0049388754914,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:39","startHours":13.962236315179911,"endHours":14.657966059148762,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.24088503502417,"endHours":17.64088503502417,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:53","startHours":17.44088503502417,"endHours":17.8757161250047,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.19088503502417,"endHours":18.94088503502417,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.87504708327336,"endHours":24.570776827242213,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:00","end":"08:19","startHours":7.0049388754914,"endHours":8.309432145432996,"quality":"inauspicious"},{"name":"Śubha","start":"08:19","end":"09:37","startHours":8.309432145432996,"endHours":9.613925415374592,"quality":"auspicious"},{"name":"Roga","start":"09:37","end":"10:55","startHours":9.613925415374592,"endHours":10.918418685316189,"quality":"inauspicious"},{"name":"Udveg","start":"10:55","end":"12:13","startHours":10.918418685316189,"endHours":12.222911955257786,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:32","startHours":12.222911955257786,"endHours":13.52740522519938,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"14:50","startHours":13.52740522519938,"endHours":14.831898495140976,"quality":"auspicious"},{"name":"Amṛta","start":"14:50","end":"16:08","startHours":14.831898495140976,"endHours":16.136391765082575,"quality":"auspicious"},{"name":"Kāla","start":"16:08","end":"17:26","startHours":16.136391765082575,"endHours":17.44088503502417,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:26","end":"19:08","startHours":17.44088503502417,"endHours":19.136391765082575,"quality":"auspicious"},{"name":"Amṛta","start":"19:08","end":"20:50","startHours":19.136391765082575,"endHours":20.831898495140976,"quality":"auspicious"},{"name":"Kāla","start":"20:50","end":"22:32","startHours":20.831898495140976,"endHours":22.52740522519938,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:13","startHours":22.52740522519938,"endHours":24.222911955257786,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:55","startHours":24.222911955257786,"endHours":25.91841868531619,"quality":"inauspicious"},{"name":"Udveg","start":"01:55","end":"03:37","startHours":25.91841868531619,"endHours":27.613925415374595,"quality":"inauspicious"},{"name":"Chala","start":"03:37","end":"05:19","startHours":27.613925415374595,"endHours":29.309432145432996,"quality":"neutral"},{"name":"Labha","start":"05:19","end":"07:00","startHours":29.309432145432996,"endHours":31.0049388754914,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":7.0049388754914,"endHours":8.004938875491401,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":8.004938875491401,"endHours":9.004938875491401,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":9.004938875491401,"endHours":10.004938875491401,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":10.004938875491401,"endHours":11.004938875491401,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":11.004938875491401,"endHours":12.004938875491401,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":12.004938875491401,"endHours":13.004938875491401,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":13.004938875491401,"endHours":14.004938875491401,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":14.004938875491401,"endHours":15.004938875491401,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":15.004938875491401,"endHours":16.0049388754914,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":16.0049388754914,"endHours":17.0049388754914,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":17.0049388754914,"endHours":18.0049388754914,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":18.0049388754914,"endHours":19.0049388754914,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":19.0049388754914,"endHours":20.0049388754914,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":20.0049388754914,"endHours":21.0049388754914,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":21.0049388754914,"endHours":22.0049388754914,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":22.0049388754914,"endHours":23.0049388754914,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":23.0049388754914,"endHours":24.0049388754914,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":24.0049388754914,"endHours":25.0049388754914,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":25.0049388754914,"endHours":26.0049388754914,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":26.0049388754914,"endHours":27.0049388754914,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":27.0049388754914,"endHours":28.0049388754914,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":28.0049388754914,"endHours":29.0049388754914,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":29.0049388754914,"endHours":30.0049388754914,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":30.0049388754914,"endHours":31.0049388754914,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.956939502648996,"eotMinutes":5.988082684532823,"ayanamsa":22.7486}},"calendars":{"vikram_samvat":1977,"vikram_samvatsara":"Śrīmukha","saka_samvat":1842,"saka_samvatsara":"Raudra","bengali_samvat":1327,"malayalam_era":1096,"nanakshahi_year":451,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pratipada · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 December 11, 1920 CE · Vṛndāvana · Vidhyamitra","description":"December 11, 1920 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 07:00, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1920-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1920-12-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/1920-12-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/1920-12-11","x-default":"https://vidhyamitra.com/city/vrindavan/1920-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:53:37.176Z","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":"2026-06-01T22:53:37.176Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:53:37.176Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}