{"id":"vidhyamitra:city-day:berlin:2139-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2139-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-08-31","date_display":"August 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502555.770833,"kali_year":5241,"ahargana":1914090.2708,"sun":{"sidereal_longitude":130.5458,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":205.6426,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.0969,"elapsed_within_tithi_degrees":3.0969},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":205.6426,"elapsed_within_degrees":5.6426},"yoga":{"number":26,"name":"Indra","sum_longitude":336.1884},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502555.770833,"ahargana":1914090.2708,"kali_year":5241,"ayanamsa_lahiri":25.804,"grahas":{"sun":{"sidereal_longitude":131.55872399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":202.445024,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.378},"mars":{"sidereal_longitude":92.85942399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":148.183224,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":275.835924,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":143.16722399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":285.454024,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":282.2862,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.2862,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502555.770833,"kali_year":5241,"ahargana":1914090.2708,"sun":{"sidereal_longitude":130.5458,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":205.6426,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.0969,"elapsed_within_tithi_degrees":3.0969},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":205.6426,"elapsed_within_degrees":5.6426},"yoga":{"number":26,"name":"Indra","sum_longitude":336.1884},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.378,"elongation":75.097},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.378,"opposition_distance":104.903}},"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":"05:14","sunsetLocal":"18:59","solarNoonLocal":"12:06","dayLengthHours":13.743188808809009,"dayLengthDisplay":"13 Hours 44 Mins 35 Secs","nightLengthDisplay":"10 Hours 15 Mins 25 Secs","moonriseLocal":"12:21","moonsetLocal":"21:19","rahuKala":{"name":"Rāhu Kāla","start":"06:57","end":"08:40","startHours":6.9502110379735,"endHours":8.668109639074626,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:23","end":"12:06","startHours":10.386008240175752,"endHours":12.103906841276878,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:32","startHours":13.821805442378004,"endHours":15.53970404347913,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:54","startHours":8.439056492261143,"endHours":8.89716278588811,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:10","startHours":5.8049453039060825,"endHours":6.171430338807657,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:34","startHours":11.64580054764991,"endHours":12.562013134903845,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:19","startHours":3.3998872623645062,"endHours":4.31609984961844,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:14","startHours":4.087046702804956,"endHours":5.232312436872374,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:19","startHours":14.394438309411715,"endHours":15.31065089666565,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.775501245681383,"endHours":19.17550124568138,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:33","startHours":18.975501245681382,"endHours":19.54813411271509,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.725501245681382,"endHours":20.475501245681382,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:34","startHours":23.645800547649912,"endHours":24.562013134903843,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:14","end":"06:57","startHours":5.232312436872374,"endHours":6.9502110379735,"quality":"auspicious"},{"name":"Kāla","start":"06:57","end":"08:40","startHours":6.9502110379735,"endHours":8.668109639074626,"quality":"inauspicious"},{"name":"Śubha","start":"08:40","end":"10:23","startHours":8.668109639074626,"endHours":10.386008240175752,"quality":"auspicious"},{"name":"Roga","start":"10:23","end":"12:06","startHours":10.386008240175752,"endHours":12.103906841276878,"quality":"inauspicious"},{"name":"Udveg","start":"12:06","end":"13:49","startHours":12.103906841276878,"endHours":13.821805442378004,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:32","startHours":13.821805442378004,"endHours":15.53970404347913,"quality":"neutral"},{"name":"Labha","start":"15:32","end":"17:15","startHours":15.53970404347913,"endHours":17.257602644580256,"quality":"auspicious"},{"name":"Amṛta","start":"17:15","end":"18:59","startHours":17.257602644580256,"endHours":18.975501245681382,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:59","end":"20:15","startHours":18.975501245681382,"endHours":20.257602644580256,"quality":"neutral"},{"name":"Labha","start":"20:15","end":"21:32","startHours":20.257602644580256,"endHours":21.53970404347913,"quality":"auspicious"},{"name":"Amṛta","start":"21:32","end":"22:49","startHours":21.53970404347913,"endHours":22.821805442378004,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:06","startHours":22.821805442378004,"endHours":24.103906841276878,"quality":"inauspicious"},{"name":"Śubha","start":"00:06","end":"01:23","startHours":24.103906841276878,"endHours":25.38600824017575,"quality":"auspicious"},{"name":"Roga","start":"01:23","end":"02:40","startHours":25.38600824017575,"endHours":26.668109639074626,"quality":"inauspicious"},{"name":"Udveg","start":"02:40","end":"03:57","startHours":26.668109639074626,"endHours":27.9502110379735,"quality":"inauspicious"},{"name":"Chala","start":"03:57","end":"05:14","startHours":27.9502110379735,"endHours":29.232312436872373,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.232312436872374,"endHours":6.232312436872374,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.232312436872374,"endHours":7.232312436872374,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.232312436872374,"endHours":8.232312436872373,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.232312436872373,"endHours":9.232312436872373,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.232312436872373,"endHours":10.232312436872373,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.232312436872373,"endHours":11.232312436872373,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.232312436872373,"endHours":12.232312436872373,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.232312436872373,"endHours":13.232312436872373,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.232312436872373,"endHours":14.232312436872373,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.232312436872373,"endHours":15.232312436872373,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.232312436872373,"endHours":16.232312436872373,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.232312436872373,"endHours":17.232312436872373,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.232312436872373,"endHours":18.232312436872373,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.232312436872373,"endHours":19.232312436872373,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.232312436872373,"endHours":20.232312436872373,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.232312436872373,"endHours":21.232312436872373,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.232312436872373,"endHours":22.232312436872373,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.232312436872373,"endHours":23.232312436872373,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.232312436872373,"endHours":24.232312436872373,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.232312436872373,"endHours":25.232312436872373,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.232312436872373,"endHours":26.232312436872373,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.232312436872373,"endHours":27.232312436872373,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.232312436872373,"endHours":28.232312436872373,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.232312436872373,"endHours":29.232312436872373,"planetary_lord":"Venus"}],"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.805783148508015,"eotMinutes":0.14558952338733633,"ayanamsa":25.804}},"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 Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 August 31, 2139 CE · Berlin, Germany · Vidhyamitra","description":"August 31, 2139 CE for Berlin, Germany: Śukla Saptamī, sūryodaya 05:14, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2139-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2139-08-31","sa":"https://sa.vidhyamitra.com/city/berlin/2139-08-31","hi":"https://hi.vidhyamitra.com/city/berlin/2139-08-31","x-default":"https://vidhyamitra.com/city/berlin/2139-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-26T20:48:53.424Z","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":"2026-05-26T20:48:53.424Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-26T20:48:53.424Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}