{"id":"vidhyamitra:city-day:vrindavan:2017-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2017-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2017-12-21","date_display":"December 21, 2017 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":2017,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458108.770833,"kali_year":5119,"ahargana":1869643.2708,"sun":{"sidereal_longitude":244.873,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":277.769,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.896,"elapsed_within_tithi_degrees":8.896},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":277.769,"elapsed_within_degrees":11.1023},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.642},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2017,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458108.770833,"ahargana":1869643.2708,"kali_year":5119,"ayanamsa_lahiri":24.104,"grahas":{"sun":{"sidereal_longitude":245.24922600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":275.224026,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":1.5032},"mars":{"sidereal_longitude":192.909626,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":228.88712599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":200.650626,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":240.39772599999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":245.84592599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":117.3022,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.3022,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2017,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458108.770833,"kali_year":5119,"ahargana":1869643.2708,"sun":{"sidereal_longitude":244.873,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":277.769,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.896,"elapsed_within_tithi_degrees":8.896},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":277.769,"elapsed_within_degrees":11.1023},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.642},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.503,"elongation":32.896},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.503,"opposition_distance":147.104}},"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":"17:30","solarNoonLocal":"12:18","dayLengthHours":10.39620513100583,"dayLengthDisplay":"10 Hours 23 Mins 46 Secs","nightLengthDisplay":"13 Hours 36 Mins 14 Secs","moonriseLocal":"09:00","moonsetLocal":"19:36","rahuKala":{"name":"Rāhu Kāla","start":"13:36","end":"14:54","startHours":13.599195151260023,"endHours":14.898720792635753,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:06","end":"08:24","startHours":7.10156694438138,"endHours":8.401092585757109,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"11:00","startHours":9.700618227132837,"endHours":11.000143868508566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.527348141616073,"endHours":9.873888312649601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.53474215817329,"endHours":7.8119742950001125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:39","startHours":11.953129338850768,"endHours":12.646209680917824,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.71540626024727,"endHours":6.4084866023143245,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.235216516797561,"endHours":7.10156694438138,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:44","startHours":14.032370365051934,"endHours":14.72545070711899,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.29777207538721,"endHours":17.69777207538721,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.49777207538721,"endHours":17.93094728917912,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.24777207538721,"endHours":18.99777207538721,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:39","startHours":23.95312933885077,"endHours":24.646209680917824,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:06","end":"08:24","startHours":7.10156694438138,"endHours":8.401092585757109,"quality":"auspicious"},{"name":"Roga","start":"08:24","end":"09:42","startHours":8.401092585757109,"endHours":9.700618227132837,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"11:00","startHours":9.700618227132837,"endHours":11.000143868508566,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:18","startHours":11.000143868508566,"endHours":12.299669509884296,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"13:36","startHours":12.299669509884296,"endHours":13.599195151260023,"quality":"auspicious"},{"name":"Amṛta","start":"13:36","end":"14:54","startHours":13.599195151260023,"endHours":14.898720792635753,"quality":"auspicious"},{"name":"Kāla","start":"14:54","end":"16:12","startHours":14.898720792635753,"endHours":16.19824643401148,"quality":"inauspicious"},{"name":"Śubha","start":"16:12","end":"17:30","startHours":16.19824643401148,"endHours":17.49777207538721,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:30","end":"19:12","startHours":17.49777207538721,"endHours":19.19824643401148,"quality":"auspicious"},{"name":"Kāla","start":"19:12","end":"20:54","startHours":19.19824643401148,"endHours":20.898720792635753,"quality":"inauspicious"},{"name":"Śubha","start":"20:54","end":"22:36","startHours":20.898720792635753,"endHours":22.599195151260023,"quality":"auspicious"},{"name":"Roga","start":"22:36","end":"00:18","startHours":22.599195151260023,"endHours":24.299669509884296,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"02:00","startHours":24.299669509884296,"endHours":26.000143868508566,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:42","startHours":26.000143868508566,"endHours":27.700618227132836,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:24","startHours":27.700618227132836,"endHours":29.40109258575711,"quality":"auspicious"},{"name":"Amṛta","start":"05:24","end":"07:06","startHours":29.40109258575711,"endHours":31.101566944381382,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.10156694438138,"endHours":8.10156694438138,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.10156694438138,"endHours":9.10156694438138,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.10156694438138,"endHours":10.10156694438138,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.10156694438138,"endHours":11.10156694438138,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.10156694438138,"endHours":12.10156694438138,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.10156694438138,"endHours":13.10156694438138,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.10156694438138,"endHours":14.10156694438138,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.10156694438138,"endHours":15.10156694438138,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.10156694438138,"endHours":16.101566944381382,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.101566944381382,"endHours":17.101566944381382,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.101566944381382,"endHours":18.101566944381382,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.101566944381382,"endHours":19.101566944381382,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.101566944381382,"endHours":20.101566944381382,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.101566944381382,"endHours":21.101566944381382,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.101566944381382,"endHours":22.101566944381382,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.101566944381382,"endHours":23.101566944381382,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.101566944381382,"endHours":24.101566944381382,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.101566944381382,"endHours":25.101566944381382,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.101566944381382,"endHours":26.101566944381382,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.101566944381382,"endHours":27.101566944381382,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.101566944381382,"endHours":28.101566944381382,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.101566944381382,"endHours":29.101566944381382,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.101566944381382,"endHours":30.101566944381382,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.101566944381382,"endHours":31.101566944381382,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":-23.434917551625315,"eotMinutes":1.382629406942221,"ayanamsa":24.104}},"calendars":{"vikram_samvat":2074,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1939,"saka_samvatsara":"Hemalambī","bengali_samvat":1424,"malayalam_era":1193,"nanakshahi_year":548,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2074 Sādhāraṇa · Śaka 1939 Hemalambī"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 21, 2017 CE · Vṛndāvana · Vidhyamitra","description":"December 21, 2017 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 07:06, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2017-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2017-12-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2017-12-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2017-12-21","x-default":"https://vidhyamitra.com/city/vrindavan/2017-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T10:27:03.449Z","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":"2026-05-15T10:27:03.449Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T10:27:03.449Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}