{"id":"vidhyamitra:city-day:berlin:2017-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2017-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2017-12-16","date_display":"December 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458103.770833,"kali_year":5119,"ahargana":1869638.2708,"sun":{"sidereal_longitude":239.7396,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":214.7413,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.0016,"elapsed_within_tithi_degrees":11.0016},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.7413,"elapsed_within_degrees":1.4079},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4809},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2017,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458103.770833,"ahargana":1869638.2708,"kali_year":5119,"ayanamsa_lahiri":24.1038,"grahas":{"sun":{"sidereal_longitude":240.15961700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":215.86201700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":4.4647},"mars":{"sidereal_longitude":189.77681699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":232.92851700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":199.708617,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":234.10771699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":245.25581699999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":117.5671,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.5671,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458103.770833,"kali_year":5119,"ahargana":1869638.2708,"sun":{"sidereal_longitude":239.7396,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":214.7413,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.0016,"elapsed_within_tithi_degrees":11.0016},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":214.7413,"elapsed_within_degrees":1.4079},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.4809},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.465,"elongation":24.998},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.465,"opposition_distance":155.002}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"08:12","sunsetLocal":"15:53","solarNoonLocal":"12:03","dayLengthHours":7.678653244982804,"dayLengthDisplay":"7 Hours 40 Mins 43 Secs","nightLengthDisplay":"16 Hours 19 Mins 17 Secs","moonriseLocal":"06:15","moonsetLocal":"14:36","rahuKala":{"name":"Rāhu Kāla","start":"10:07","end":"11:05","startHours":10.124721408301424,"endHours":11.084553063924275,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:00","end":"13:58","startHours":13.004216375169975,"endHours":13.964048030792826,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:12","end":"09:10","startHours":8.205058097055723,"endHours":9.164889752678572,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:00","end":"10:15","startHours":9.996743854218376,"endHours":10.252698962384471,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:32","end":"08:44","startHours":8.52500198226334,"endHours":8.729766068796215,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:18","startHours":11.788429611381032,"endHours":12.300339827713218,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:11","end":"07:42","startHours":7.1812376643913485,"endHours":7.693147880723536,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:34","end":"08:12","startHours":7.565170326640489,"endHours":8.205058097055723,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:19","end":"13:50","startHours":13.324160260377592,"endHours":13.836070476709779,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:41","end":"16:05","startHours":15.683711342038528,"endHours":16.083711342038526,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:53","end":"16:12","startHours":15.883711342038527,"endHours":16.203655227246145,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:38","end":"17:23","startHours":15.633711342038527,"endHours":17.383711342038527,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:18","startHours":23.78842961138103,"endHours":24.30033982771322,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"08:12","end":"09:10","startHours":8.205058097055723,"endHours":9.164889752678572,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:07","startHours":9.164889752678572,"endHours":10.124721408301424,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:05","startHours":10.124721408301424,"endHours":11.084553063924275,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:03","startHours":11.084553063924275,"endHours":12.044384719547125,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:00","startHours":12.044384719547125,"endHours":13.004216375169975,"quality":"neutral"},{"name":"Labha","start":"13:00","end":"13:58","startHours":13.004216375169975,"endHours":13.964048030792826,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"14:55","startHours":13.964048030792826,"endHours":14.923879686415678,"quality":"auspicious"},{"name":"Kāla","start":"14:55","end":"15:53","startHours":14.923879686415678,"endHours":15.883711342038527,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"15:53","end":"17:55","startHours":15.883711342038527,"endHours":17.923879686415678,"quality":"auspicious"},{"name":"Amṛta","start":"17:55","end":"19:58","startHours":17.923879686415678,"endHours":19.964048030792824,"quality":"auspicious"},{"name":"Kāla","start":"19:58","end":"22:00","startHours":19.964048030792824,"endHours":22.004216375169975,"quality":"inauspicious"},{"name":"Śubha","start":"22:00","end":"00:03","startHours":22.004216375169975,"endHours":24.044384719547125,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"02:05","startHours":24.044384719547125,"endHours":26.084553063924275,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"04:07","startHours":26.084553063924275,"endHours":28.124721408301426,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"06:10","startHours":28.124721408301426,"endHours":30.164889752678572,"quality":"neutral"},{"name":"Labha","start":"06:10","end":"08:12","startHours":30.164889752678572,"endHours":32.205058097055726,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:12","end":"09:12","startHours":8.205058097055723,"endHours":9.205058097055723,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"09:12","end":"10:12","startHours":9.205058097055723,"endHours":10.205058097055723,"planetary_lord":"Moon"},{"name":"Hora 3","start":"10:12","end":"11:12","startHours":10.205058097055723,"endHours":11.205058097055723,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"11:12","end":"12:12","startHours":11.205058097055723,"endHours":12.205058097055723,"planetary_lord":"Venus"},{"name":"Hora 5","start":"12:12","end":"13:12","startHours":12.205058097055723,"endHours":13.205058097055723,"planetary_lord":"Sun"},{"name":"Hora 6","start":"13:12","end":"14:12","startHours":13.205058097055723,"endHours":14.205058097055723,"planetary_lord":"Mars"},{"name":"Hora 7","start":"14:12","end":"15:12","startHours":14.205058097055723,"endHours":15.205058097055723,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"15:12","end":"16:12","startHours":15.205058097055723,"endHours":16.205058097055723,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"16:12","end":"17:12","startHours":16.205058097055723,"endHours":17.205058097055723,"planetary_lord":"Moon"},{"name":"Hora 10","start":"17:12","end":"18:12","startHours":17.205058097055723,"endHours":18.205058097055723,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"18:12","end":"19:12","startHours":18.205058097055723,"endHours":19.205058097055723,"planetary_lord":"Venus"},{"name":"Hora 12","start":"19:12","end":"20:12","startHours":19.205058097055723,"endHours":20.205058097055723,"planetary_lord":"Sun"},{"name":"Hora 13","start":"20:12","end":"21:12","startHours":20.205058097055723,"endHours":21.205058097055723,"planetary_lord":"Mars"},{"name":"Hora 14","start":"21:12","end":"22:12","startHours":21.205058097055723,"endHours":22.205058097055723,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"22:12","end":"23:12","startHours":22.205058097055723,"endHours":23.205058097055723,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"23:12","end":"00:12","startHours":23.205058097055723,"endHours":24.205058097055723,"planetary_lord":"Moon"},{"name":"Hora 17","start":"00:12","end":"01:12","startHours":24.205058097055723,"endHours":25.205058097055723,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"01:12","end":"02:12","startHours":25.205058097055723,"endHours":26.205058097055723,"planetary_lord":"Venus"},{"name":"Hora 19","start":"02:12","end":"03:12","startHours":26.205058097055723,"endHours":27.205058097055723,"planetary_lord":"Sun"},{"name":"Hora 20","start":"03:12","end":"04:12","startHours":27.205058097055723,"endHours":28.205058097055723,"planetary_lord":"Mars"},{"name":"Hora 21","start":"04:12","end":"05:12","startHours":28.205058097055723,"endHours":29.205058097055723,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"05:12","end":"06:12","startHours":29.205058097055723,"endHours":30.205058097055723,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"06:12","end":"07:12","startHours":30.205058097055723,"endHours":31.205058097055723,"planetary_lord":"Moon"},{"name":"Hora 24","start":"07:12","end":"08:12","startHours":31.205058097055723,"endHours":32.205058097055726,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","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":-23.312171264139266,"eotMinutes":3.716916827172506,"ayanamsa":24.1038}},"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 Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · 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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 16, 2017 CE · Berlin, Germany · Vidhyamitra","description":"December 16, 2017 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 08:12, sūryāsta 15:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2017-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2017-12-16","sa":"https://sa.vidhyamitra.com/city/berlin/2017-12-16","hi":"https://hi.vidhyamitra.com/city/berlin/2017-12-16","x-default":"https://vidhyamitra.com/city/berlin/2017-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:41:46.473Z","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":"2026-05-15T06:41:46.473Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:41:46.473Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}