{"id":"vidhyamitra:city-day:berlin:2139-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2139-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-08-20","date_display":"August 20, 2139 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":2139,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502544.770833,"kali_year":5241,"ahargana":1914079.2708,"sun":{"sidereal_longitude":119.9943,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":66.6675,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.6733,"elapsed_within_tithi_degrees":6.6733},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":66.6675,"elapsed_within_degrees":0.0009},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.6618},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2139,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502544.770833,"ahargana":1914079.2708,"kali_year":5241,"ayanamsa_lahiri":25.8036,"grahas":{"sun":{"sidereal_longitude":120.95784400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":69.13304399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":2.656},"mars":{"sidereal_longitude":85.757744,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":129.44284400000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":276.929044,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":129.58874400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":286.19774400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":282.869,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.869,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2139,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502544.770833,"kali_year":5241,"ahargana":1914079.2708,"sun":{"sidereal_longitude":119.9943,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":66.6675,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.6733,"elapsed_within_tithi_degrees":6.6733},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":66.6675,"elapsed_within_degrees":0.0009},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.6618},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.656,"elongation":53.327},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.656,"opposition_distance":126.673}},"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":"04:56","sunsetLocal":"19:23","solarNoonLocal":"12:09","dayLengthHours":14.454603512253264,"dayLengthDisplay":"14 Hours 27 Mins 17 Secs","nightLengthDisplay":"9 Hours 32 Mins 43 Secs","moonriseLocal":"00:20","moonsetLocal":"17:04","rahuKala":{"name":"Rāhu Kāla","start":"13:58","end":"15:46","startHours":13.963992287540496,"endHours":15.770817726572151,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:56","end":"06:44","startHours":4.929865092382204,"endHours":6.736690531413862,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:33","end":"10:21","startHours":8.543515970445519,"endHours":10.350341409477178,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:47","startHours":8.302605911907966,"endHours":8.784426028983074,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:32","end":"05:55","startHours":5.53214023872609,"endHours":5.917596332386177,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:38","startHours":11.675346731433727,"endHours":12.638986965583946,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:00","end":"03:58","startHours":3.002584624081768,"endHours":3.966224858231986,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:44","end":"04:56","startHours":3.7253147996944316,"endHours":4.929865092382204,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:32","startHours":14.56626743388438,"endHours":15.529907668034598,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:11","end":"19:35","startHours":19.18446860463547,"endHours":19.584468604635468,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:23","end":"19:59","startHours":19.38446860463547,"endHours":19.986743750979354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:08","end":"20:53","startHours":19.13446860463547,"endHours":20.88446860463547,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:38","startHours":23.675346731433727,"endHours":24.638986965583946,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:56","end":"06:44","startHours":4.929865092382204,"endHours":6.736690531413862,"quality":"auspicious"},{"name":"Roga","start":"06:44","end":"08:33","startHours":6.736690531413862,"endHours":8.543515970445519,"quality":"inauspicious"},{"name":"Udveg","start":"08:33","end":"10:21","startHours":8.543515970445519,"endHours":10.350341409477178,"quality":"inauspicious"},{"name":"Chala","start":"10:21","end":"12:09","startHours":10.350341409477178,"endHours":12.157166848508837,"quality":"neutral"},{"name":"Labha","start":"12:09","end":"13:58","startHours":12.157166848508837,"endHours":13.963992287540496,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"15:46","startHours":13.963992287540496,"endHours":15.770817726572151,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:35","startHours":15.770817726572151,"endHours":17.57764316560381,"quality":"inauspicious"},{"name":"Śubha","start":"17:35","end":"19:23","startHours":17.57764316560381,"endHours":19.38446860463547,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:23","end":"20:35","startHours":19.38446860463547,"endHours":20.57764316560381,"quality":"auspicious"},{"name":"Kāla","start":"20:35","end":"21:46","startHours":20.57764316560381,"endHours":21.770817726572155,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"22:58","startHours":21.770817726572155,"endHours":22.963992287540496,"quality":"auspicious"},{"name":"Roga","start":"22:58","end":"00:09","startHours":22.963992287540496,"endHours":24.157166848508837,"quality":"inauspicious"},{"name":"Udveg","start":"00:09","end":"01:21","startHours":24.157166848508837,"endHours":25.350341409477178,"quality":"inauspicious"},{"name":"Chala","start":"01:21","end":"02:33","startHours":25.350341409477178,"endHours":26.54351597044552,"quality":"neutral"},{"name":"Labha","start":"02:33","end":"03:44","startHours":26.54351597044552,"endHours":27.736690531413863,"quality":"auspicious"},{"name":"Amṛta","start":"03:44","end":"04:56","startHours":27.736690531413863,"endHours":28.929865092382204,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:56","end":"05:56","startHours":4.929865092382204,"endHours":5.929865092382204,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:56","end":"06:56","startHours":5.929865092382204,"endHours":6.929865092382204,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:56","end":"07:56","startHours":6.929865092382204,"endHours":7.929865092382204,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:56","end":"08:56","startHours":7.929865092382204,"endHours":8.929865092382204,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:56","end":"09:56","startHours":8.929865092382204,"endHours":9.929865092382204,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:56","end":"10:56","startHours":9.929865092382204,"endHours":10.929865092382204,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:56","end":"11:56","startHours":10.929865092382204,"endHours":11.929865092382204,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:56","end":"12:56","startHours":11.929865092382204,"endHours":12.929865092382204,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:56","end":"13:56","startHours":12.929865092382204,"endHours":13.929865092382204,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:56","end":"14:56","startHours":13.929865092382204,"endHours":14.929865092382204,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:56","end":"15:56","startHours":14.929865092382204,"endHours":15.929865092382204,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:56","end":"16:56","startHours":15.929865092382204,"endHours":16.929865092382204,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:56","end":"17:56","startHours":16.929865092382204,"endHours":17.929865092382204,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:56","end":"18:56","startHours":17.929865092382204,"endHours":18.929865092382204,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:56","end":"19:56","startHours":18.929865092382204,"endHours":19.929865092382204,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:56","end":"20:56","startHours":19.929865092382204,"endHours":20.929865092382204,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:56","end":"21:56","startHours":20.929865092382204,"endHours":21.929865092382204,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:56","end":"22:56","startHours":21.929865092382204,"endHours":22.929865092382204,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:56","end":"23:56","startHours":22.929865092382204,"endHours":23.929865092382204,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:56","end":"00:56","startHours":23.929865092382204,"endHours":24.929865092382204,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:56","end":"01:56","startHours":24.929865092382204,"endHours":25.929865092382204,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:56","end":"02:56","startHours":25.929865092382204,"endHours":26.929865092382204,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:56","end":"03:56","startHours":26.929865092382204,"endHours":27.929865092382204,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:56","end":"04:56","startHours":27.929865092382204,"endHours":28.929865092382204,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.592035226936604,"eotMinutes":-3.0500109105302213,"ayanamsa":25.8036}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Ekādaśī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"indira-ekadashi","name":"Indirā Ekādaśī","name_sanskrit":"इन्दिरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Falls in Pitṛ Pakṣa; liberates ancestors from naraka.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 20, 2139 CE · Berlin, Germany · Vidhyamitra","description":"August 20, 2139 CE for Berlin, Germany: Kṛṣṇa Ekādaśī, sūryodaya 04:56, sūryāsta 19:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2139-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2139-08-20","sa":"https://sa.vidhyamitra.com/city/berlin/2139-08-20","hi":"https://hi.vidhyamitra.com/city/berlin/2139-08-20","x-default":"https://vidhyamitra.com/city/berlin/2139-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-26T21:26:47.975Z","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":"2026-05-26T21:26:47.975Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-26T21:26:47.975Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}