{"id":"vidhyamitra:city-day:berlin:2159-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-18","date_display":"December 18, 2159 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":2159,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509969.770833,"kali_year":5261,"ahargana":1921504.2708,"sun":{"sidereal_longitude":238.9769,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":333.1461,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":94.1692,"elapsed_within_tithi_degrees":10.1692},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":333.1461,"elapsed_within_degrees":13.1461},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.1229},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2159,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509969.770833,"ahargana":1921504.2708,"kali_year":5261,"ayanamsa_lahiri":26.0875,"grahas":{"sun":{"sidereal_longitude":239.74005499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":330.06625499999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":4.4727},"mars":{"sidereal_longitude":310.68275500000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":245.81265499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":189.42035499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":205.98435500000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":189.809755,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":249.4568,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.4568,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509969.770833,"kali_year":5261,"ahargana":1921504.2708,"sun":{"sidereal_longitude":238.9769,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":333.1461,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":94.1692,"elapsed_within_tithi_degrees":10.1692},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":333.1461,"elapsed_within_degrees":13.1461},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.1229},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.473,"elongation":94.169},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.473,"opposition_distance":85.831}},"eclipse_window_40days":[{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":"08:14","sunsetLocal":"15:54","solarNoonLocal":"12:04","dayLengthHours":7.664451659026888,"dayLengthDisplay":"7 Hours 39 Mins 52 Secs","nightLengthDisplay":"16 Hours 20 Mins 08 Secs","moonriseLocal":"12:09","moonsetLocal":"00:01","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"14:56","startHours":13.975984125621036,"endHours":14.934040582999398,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:09","end":"11:06","startHours":10.143758296107592,"endHours":11.101814753485954,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:01","startHours":12.059871210864314,"endHours":13.017927668242674,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:01","end":"10:16","startHours":10.01601743512381,"endHours":10.271499157091373,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:33","end":"08:45","startHours":8.546997533810323,"endHours":8.751382911384374,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:19","startHours":11.804389488896751,"endHours":12.315352932831876,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:12","end":"07:43","startHours":7.205718493480618,"endHours":7.7166819374157445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:35","end":"08:14","startHours":7.588941076431962,"endHours":8.22764538135087,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:20","end":"13:51","startHours":13.337279820702129,"endHours":13.848243264637254,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:42","end":"16:06","startHours":15.692097040377758,"endHours":16.09209704037776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:54","end":"16:13","startHours":15.892097040377758,"endHours":16.21144919283721,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:39","end":"17:24","startHours":15.642097040377758,"endHours":17.392097040377756,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:19","startHours":23.804389488896753,"endHours":24.31535293283188,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"08:14","end":"09:11","startHours":8.22764538135087,"endHours":9.18570183872923,"quality":"inauspicious"},{"name":"Udveg","start":"09:11","end":"10:09","startHours":9.18570183872923,"endHours":10.143758296107592,"quality":"inauspicious"},{"name":"Chala","start":"10:09","end":"11:06","startHours":10.143758296107592,"endHours":11.101814753485954,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:04","startHours":11.101814753485954,"endHours":12.059871210864314,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:01","startHours":12.059871210864314,"endHours":13.017927668242674,"quality":"auspicious"},{"name":"Kāla","start":"13:01","end":"13:59","startHours":13.017927668242674,"endHours":13.975984125621036,"quality":"inauspicious"},{"name":"Śubha","start":"13:59","end":"14:56","startHours":13.975984125621036,"endHours":14.934040582999398,"quality":"auspicious"},{"name":"Roga","start":"14:56","end":"15:54","startHours":14.934040582999398,"endHours":15.892097040377758,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"15:54","end":"17:56","startHours":15.892097040377758,"endHours":17.934040582999398,"quality":"inauspicious"},{"name":"Śubha","start":"17:56","end":"19:59","startHours":17.934040582999398,"endHours":19.975984125621036,"quality":"auspicious"},{"name":"Roga","start":"19:59","end":"22:01","startHours":19.975984125621036,"endHours":22.017927668242674,"quality":"inauspicious"},{"name":"Udveg","start":"22:01","end":"00:04","startHours":22.017927668242674,"endHours":24.059871210864316,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"02:06","startHours":24.059871210864316,"endHours":26.101814753485954,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"04:09","startHours":26.101814753485954,"endHours":28.143758296107592,"quality":"auspicious"},{"name":"Amṛta","start":"04:09","end":"06:11","startHours":28.143758296107592,"endHours":30.18570183872923,"quality":"auspicious"},{"name":"Kāla","start":"06:11","end":"08:14","startHours":30.18570183872923,"endHours":32.22764538135087,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:14","end":"09:14","startHours":8.22764538135087,"endHours":9.22764538135087,"planetary_lord":"Mars"},{"name":"Hora 2","start":"09:14","end":"10:14","startHours":9.22764538135087,"endHours":10.22764538135087,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"10:14","end":"11:14","startHours":10.22764538135087,"endHours":11.22764538135087,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"11:14","end":"12:14","startHours":11.22764538135087,"endHours":12.22764538135087,"planetary_lord":"Moon"},{"name":"Hora 5","start":"12:14","end":"13:14","startHours":12.22764538135087,"endHours":13.22764538135087,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"13:14","end":"14:14","startHours":13.22764538135087,"endHours":14.22764538135087,"planetary_lord":"Venus"},{"name":"Hora 7","start":"14:14","end":"15:14","startHours":14.22764538135087,"endHours":15.22764538135087,"planetary_lord":"Sun"},{"name":"Hora 8","start":"15:14","end":"16:14","startHours":15.22764538135087,"endHours":16.227645381350868,"planetary_lord":"Mars"},{"name":"Hora 9","start":"16:14","end":"17:14","startHours":16.227645381350868,"endHours":17.227645381350868,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"17:14","end":"18:14","startHours":17.227645381350868,"endHours":18.227645381350868,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"18:14","end":"19:14","startHours":18.227645381350868,"endHours":19.227645381350868,"planetary_lord":"Moon"},{"name":"Hora 12","start":"19:14","end":"20:14","startHours":19.227645381350868,"endHours":20.227645381350868,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"20:14","end":"21:14","startHours":20.227645381350868,"endHours":21.227645381350868,"planetary_lord":"Venus"},{"name":"Hora 14","start":"21:14","end":"22:14","startHours":21.227645381350868,"endHours":22.227645381350868,"planetary_lord":"Sun"},{"name":"Hora 15","start":"22:14","end":"23:14","startHours":22.227645381350868,"endHours":23.227645381350868,"planetary_lord":"Mars"},{"name":"Hora 16","start":"23:14","end":"00:14","startHours":23.227645381350868,"endHours":24.227645381350868,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"00:14","end":"01:14","startHours":24.227645381350868,"endHours":25.227645381350868,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"01:14","end":"02:14","startHours":25.227645381350868,"endHours":26.227645381350868,"planetary_lord":"Moon"},{"name":"Hora 19","start":"02:14","end":"03:14","startHours":26.227645381350868,"endHours":27.227645381350868,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"03:14","end":"04:14","startHours":27.227645381350868,"endHours":28.227645381350868,"planetary_lord":"Venus"},{"name":"Hora 21","start":"04:14","end":"05:14","startHours":28.227645381350868,"endHours":29.227645381350868,"planetary_lord":"Sun"},{"name":"Hora 22","start":"05:14","end":"06:14","startHours":29.227645381350868,"endHours":30.227645381350868,"planetary_lord":"Mars"},{"name":"Hora 23","start":"06:14","end":"07:14","startHours":30.227645381350868,"endHours":31.227645381350868,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"07:14","end":"08:14","startHours":31.227645381350868,"endHours":32.22764538135087,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North","anandadiYoga":{"name":"Saumya","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":-23.37068680973392,"eotMinutes":2.787727348141232,"ayanamsa":26.0875}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 Aṣṭamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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 18, 2159 CE · Berlin, Germany · Vidhyamitra","description":"December 18, 2159 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 08:14, sūryāsta 15:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-12-18","sa":"https://sa.vidhyamitra.com/city/berlin/2159-12-18","hi":"https://hi.vidhyamitra.com/city/berlin/2159-12-18","x-default":"https://vidhyamitra.com/city/berlin/2159-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T09:56:28.785Z","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":"2026-06-02T09:56:28.785Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T09:56:28.785Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}