{"id":"vidhyamitra:city-day:vrindavan:2034-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2034-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2034-12-20","date_display":"December 20, 2034 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":2034,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2464316.770833,"kali_year":5136,"ahargana":1875851.2708,"sun":{"sidereal_longitude":243.4363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":353.3611,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9248,"elapsed_within_tithi_degrees":1.9248},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3611,"elapsed_within_degrees":6.6944},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.7974},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2034,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2464316.770833,"ahargana":1875851.2708,"kali_year":5136,"ayanamsa_lahiri":24.3415,"grahas":{"sun":{"sidereal_longitude":243.865135,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":350.254335,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-1.8994},"mars":{"sidereal_longitude":200.47323500000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":253.08463499999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":339.784235,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":197.05483500000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":99.656835,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":148.3724,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":328.3724,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"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":2034,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2464316.770833,"kali_year":5136,"ahargana":1875851.2708,"sun":{"sidereal_longitude":243.4363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":353.3611,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9248,"elapsed_within_tithi_degrees":1.9248},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3611,"elapsed_within_degrees":6.6944},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.7974},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.899,"elongation":109.925},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.899,"opposition_distance":70.075}},"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":10.397088470547878,"dayLengthDisplay":"10 Hours 23 Mins 50 Secs","nightLengthDisplay":"13 Hours 36 Mins 10 Secs","moonriseLocal":"13:08","moonsetLocal":"01:38","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591484100110671,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:24","end":"09:42","startHours":8.392939864836732,"endHours":9.692575923655216,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:18","startHours":10.992211982473702,"endHours":12.291848041292187,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519291115812752,"endHours":9.865860731497682,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526515825624409,"endHours":7.803771518172352,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945278425607258,"endHours":12.638417656977117,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.707025343278531,"endHours":6.400164574648389,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.226879766805924,"endHours":7.093303806018247,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024696119716832,"endHours":14.717835351086691,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290392276566127,"endHours":17.690392276566126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.490392276566126,"endHours":17.92360429617229,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240392276566126,"endHours":18.990392276566126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.94527842560726,"endHours":24.638417656977115,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:06","end":"08:24","startHours":7.093303806018247,"endHours":8.392939864836732,"quality":"auspicious"},{"name":"Amṛta","start":"08:24","end":"09:42","startHours":8.392939864836732,"endHours":9.692575923655216,"quality":"auspicious"},{"name":"Kāla","start":"09:42","end":"11:00","startHours":9.692575923655216,"endHours":10.992211982473702,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:18","startHours":10.992211982473702,"endHours":12.291848041292187,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591484100110671,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"14:53","startHours":13.591484100110671,"endHours":14.891120158929155,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:11","startHours":14.891120158929155,"endHours":16.19075621774764,"quality":"neutral"},{"name":"Labha","start":"16:11","end":"17:29","startHours":16.19075621774764,"endHours":17.490392276566126,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:11","startHours":17.490392276566126,"endHours":19.19075621774764,"quality":"inauspicious"},{"name":"Chala","start":"19:11","end":"20:53","startHours":19.19075621774764,"endHours":20.891120158929155,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:35","startHours":20.891120158929155,"endHours":22.591484100110673,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"00:18","startHours":22.591484100110673,"endHours":24.291848041292187,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.9922119824737,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:42","startHours":25.9922119824737,"endHours":27.69257592365522,"quality":"auspicious"},{"name":"Roga","start":"03:42","end":"05:24","startHours":27.69257592365522,"endHours":29.392939864836734,"quality":"inauspicious"},{"name":"Udveg","start":"05:24","end":"07:06","startHours":29.392939864836734,"endHours":31.09330380601825,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093303806018247,"endHours":8.093303806018248,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093303806018248,"endHours":9.093303806018248,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093303806018248,"endHours":10.093303806018248,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093303806018248,"endHours":11.093303806018248,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093303806018248,"endHours":12.093303806018248,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093303806018248,"endHours":13.093303806018248,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093303806018248,"endHours":14.093303806018248,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093303806018248,"endHours":15.093303806018248,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093303806018248,"endHours":16.09330380601825,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09330380601825,"endHours":17.09330380601825,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09330380601825,"endHours":18.09330380601825,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09330380601825,"endHours":19.09330380601825,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09330380601825,"endHours":20.09330380601825,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09330380601825,"endHours":21.09330380601825,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09330380601825,"endHours":22.09330380601825,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09330380601825,"endHours":23.09330380601825,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09330380601825,"endHours":24.09330380601825,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09330380601825,"endHours":25.09330380601825,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09330380601825,"endHours":26.09330380601825,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09330380601825,"endHours":27.09330380601825,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09330380601825,"endHours":28.09330380601825,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09330380601825,"endHours":29.09330380601825,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09330380601825,"endHours":30.09330380601825,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09330380601825,"endHours":31.09330380601825,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.424334958469352,"eotMinutes":1.851917522468745,"ayanamsa":24.3415}},"calendars":{"vikram_samvat":2091,"vikram_samvatsara":"Prabhava","saka_samvat":1956,"saka_samvatsara":"Ānanda","bengali_samvat":1441,"malayalam_era":1210,"nanakshahi_year":565,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 2091 Prabhava · Śaka 1956 Ānanda"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":[]},"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, 2034 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2034 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2034-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2034-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2034-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2034-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2034-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:43:38.585Z","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":"2026-05-15T14:43:38.585Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:43:38.585Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}