{"id":"vidhyamitra:city-day:vrindavan:2072-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2072-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-12-20","date_display":"December 20, 2072 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":2072,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478196.770833,"kali_year":5174,"ahargana":1889731.2708,"sun":{"sidereal_longitude":243.6081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.9313,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.3232,"elapsed_within_tithi_degrees":9.3232},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.9313,"elapsed_within_degrees":0.9313},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.5394},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2072,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478196.770833,"ahargana":1889731.2708,"kali_year":5174,"ayanamsa_lahiri":24.8723,"grahas":{"sun":{"sidereal_longitude":244.12551700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":0.9304169999999772,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-3.342},"mars":{"sidereal_longitude":245.724517,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":235.80611699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":70.63491699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":290.20061699999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":205.557417,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":132.9432,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":312.9432,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2072,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478196.770833,"kali_year":5174,"ahargana":1889731.2708,"sun":{"sidereal_longitude":243.6081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":0.9313,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.3232,"elapsed_within_tithi_degrees":9.3232},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.9313,"elapsed_within_degrees":0.9313},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.5394},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.342,"elongation":117.323},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.342,"opposition_distance":62.677}},"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":"07:06","sunsetLocal":"17:29","solarNoonLocal":"12:18","dayLengthHours":10.396390190442792,"dayLengthDisplay":"10 Hours 23 Mins 47 Secs","nightLengthDisplay":"13 Hours 36 Mins 13 Secs","moonriseLocal":"13:41","moonsetLocal":"02:28","rahuKala":{"name":"Rāhu Kāla","start":"14:53","end":"16:11","startHours":14.890945588902886,"endHours":16.190494362708236,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:42","end":"11:00","startHours":9.69275049368149,"endHours":10.992299267486839,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591396815097537,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519477323840777,"endHours":9.866023663522203,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526835870672575,"endHours":7.804072942417716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945301701610761,"endHours":12.638394380973613,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.707467587345087,"endHours":6.400560266707939,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.227287096867226,"endHours":7.093652946070792,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.02457973969932,"endHours":14.717672419062172,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290043136513585,"endHours":17.690043136513584,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.490043136513584,"endHours":17.92322606111537,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240043136513584,"endHours":18.990043136513584,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.94530170161076,"endHours":24.638394380973615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:06","end":"08:24","startHours":7.093652946070792,"endHours":8.39320171987614,"quality":"inauspicious"},{"name":"Udveg","start":"08:24","end":"09:42","startHours":8.39320171987614,"endHours":9.69275049368149,"quality":"inauspicious"},{"name":"Chala","start":"09:42","end":"11:00","startHours":9.69275049368149,"endHours":10.992299267486839,"quality":"neutral"},{"name":"Labha","start":"11:00","end":"12:18","startHours":10.992299267486839,"endHours":12.291848041292187,"quality":"auspicious"},{"name":"Amṛta","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591396815097537,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"14:53","startHours":13.591396815097537,"endHours":14.890945588902886,"quality":"inauspicious"},{"name":"Śubha","start":"14:53","end":"16:11","startHours":14.890945588902886,"endHours":16.190494362708236,"quality":"auspicious"},{"name":"Roga","start":"16:11","end":"17:29","startHours":16.190494362708236,"endHours":17.490043136513584,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:29","end":"19:11","startHours":17.490043136513584,"endHours":19.190494362708236,"quality":"inauspicious"},{"name":"Śubha","start":"19:11","end":"20:53","startHours":19.190494362708236,"endHours":20.890945588902888,"quality":"auspicious"},{"name":"Roga","start":"20:53","end":"22:35","startHours":20.890945588902888,"endHours":22.59139681509754,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"00:18","startHours":22.59139681509754,"endHours":24.291848041292187,"quality":"inauspicious"},{"name":"Chala","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.99229926748684,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"03:42","startHours":25.99229926748684,"endHours":27.69275049368149,"quality":"auspicious"},{"name":"Amṛta","start":"03:42","end":"05:24","startHours":27.69275049368149,"endHours":29.39320171987614,"quality":"auspicious"},{"name":"Kāla","start":"05:24","end":"07:06","startHours":29.39320171987614,"endHours":31.09365294607079,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093652946070792,"endHours":8.093652946070792,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093652946070792,"endHours":9.093652946070792,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093652946070792,"endHours":10.093652946070792,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093652946070792,"endHours":11.093652946070792,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093652946070792,"endHours":12.093652946070792,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093652946070792,"endHours":13.093652946070792,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093652946070792,"endHours":14.093652946070792,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093652946070792,"endHours":15.093652946070792,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093652946070792,"endHours":16.09365294607079,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09365294607079,"endHours":17.09365294607079,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09365294607079,"endHours":18.09365294607079,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09365294607079,"endHours":19.09365294607079,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09365294607079,"endHours":20.09365294607079,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09365294607079,"endHours":21.09365294607079,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09365294607079,"endHours":22.09365294607079,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09365294607079,"endHours":23.09365294607079,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09365294607079,"endHours":24.09365294607079,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09365294607079,"endHours":25.09365294607079,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09365294607079,"endHours":26.09365294607079,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09365294607079,"endHours":27.09365294607079,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09365294607079,"endHours":28.09365294607079,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09365294607079,"endHours":29.09365294607079,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09365294607079,"endHours":30.09365294607079,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09365294607079,"endHours":31.09365294607079,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.43270065786022,"eotMinutes":1.851917522468745,"ayanamsa":24.8723}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Daśamī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 20, 2072 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2072 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2072-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2072-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2072-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2072-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2072-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:11:16.378Z","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":"2026-06-02T18:11:16.378Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:11:16.378Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}