{"id":"vidhyamitra:city-day:berlin:2138-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2138-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-08-20","date_display":"August 20, 2138 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":2138,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502179.770833,"kali_year":5240,"ahargana":1913714.2708,"sun":{"sidereal_longitude":120.2418,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":291.7431,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.5013,"elapsed_within_tithi_degrees":3.5013},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.7431,"elapsed_within_degrees":11.7431},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":51.9849},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2138,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502179.770833,"ahargana":1913714.2708,"kali_year":5240,"ayanamsa_lahiri":25.7896,"grahas":{"sun":{"sidereal_longitude":121.20468999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":292.40359,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.8166},"mars":{"sidereal_longitude":178.47149000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":113.36079000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":240.98758999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"venus":{"sidereal_longitude":156.31429000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":273.79699000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":302.2085,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.2085,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2138,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502179.770833,"kali_year":5240,"ahargana":1913714.2708,"sun":{"sidereal_longitude":120.2418,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":291.7431,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.5013,"elapsed_within_tithi_degrees":3.5013},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.7431,"elapsed_within_degrees":11.7431},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":51.9849},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.817,"elongation":171.501},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.817,"opposition_distance":8.499}},"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":14.439263143983084,"dayLengthDisplay":"14 Hours 26 Mins 21 Secs","nightLengthDisplay":"9 Hours 33 Mins 39 Secs","moonriseLocal":"18:54","moonsetLocal":"04:14","rahuKala":{"name":"Rāhu Kāla","start":"12:09","end":"13:58","startHours":12.157166848508837,"endHours":13.962074741506722,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:45","end":"08:33","startHours":6.742443169515181,"endHours":8.547351062513066,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:21","end":"12:09","startHours":10.352258955510951,"endHours":12.157166848508837,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:47","startHours":8.306696676780016,"endHours":8.788005448246118,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:32","end":"05:55","startHours":5.5391712408499245,"endHours":5.924218258022806,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:38","startHours":11.675858077042735,"endHours":12.638475619974939,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:01","end":"03:58","startHours":3.0123001906528843,"endHours":3.97491773358509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:44","end":"04:56","startHours":3.734263347852039,"endHours":4.937535276517296,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:32","startHours":14.563710705839352,"endHours":15.526328248771557,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:11","end":"19:35","startHours":19.17679842050038,"endHours":19.576798420500378,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:23","end":"19:59","startHours":19.37679842050038,"endHours":19.978434384833008,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:08","end":"20:53","startHours":19.12679842050038,"endHours":20.87679842050038,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:38","startHours":23.675858077042733,"endHours":24.63847561997494,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:56","end":"06:45","startHours":4.937535276517296,"endHours":6.742443169515181,"quality":"auspicious"},{"name":"Amṛta","start":"06:45","end":"08:33","startHours":6.742443169515181,"endHours":8.547351062513066,"quality":"auspicious"},{"name":"Kāla","start":"08:33","end":"10:21","startHours":8.547351062513066,"endHours":10.352258955510951,"quality":"inauspicious"},{"name":"Śubha","start":"10:21","end":"12:09","startHours":10.352258955510951,"endHours":12.157166848508837,"quality":"auspicious"},{"name":"Roga","start":"12:09","end":"13:58","startHours":12.157166848508837,"endHours":13.962074741506722,"quality":"inauspicious"},{"name":"Udveg","start":"13:58","end":"15:46","startHours":13.962074741506722,"endHours":15.766982634504608,"quality":"inauspicious"},{"name":"Chala","start":"15:46","end":"17:34","startHours":15.766982634504608,"endHours":17.571890527502493,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:23","startHours":17.571890527502493,"endHours":19.37679842050038,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:23","end":"20:34","startHours":19.37679842050038,"endHours":20.571890527502493,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:46","startHours":20.571890527502493,"endHours":21.766982634504608,"quality":"neutral"},{"name":"Labha","start":"21:46","end":"22:58","startHours":21.766982634504608,"endHours":22.962074741506722,"quality":"auspicious"},{"name":"Amṛta","start":"22:58","end":"00:09","startHours":22.962074741506722,"endHours":24.157166848508837,"quality":"auspicious"},{"name":"Kāla","start":"00:09","end":"01:21","startHours":24.157166848508837,"endHours":25.35225895551095,"quality":"inauspicious"},{"name":"Śubha","start":"01:21","end":"02:33","startHours":25.35225895551095,"endHours":26.547351062513066,"quality":"auspicious"},{"name":"Roga","start":"02:33","end":"03:45","startHours":26.547351062513066,"endHours":27.74244316951518,"quality":"inauspicious"},{"name":"Udveg","start":"03:45","end":"04:56","startHours":27.74244316951518,"endHours":28.937535276517295,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:56","end":"05:56","startHours":4.937535276517296,"endHours":5.937535276517296,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:56","end":"06:56","startHours":5.937535276517296,"endHours":6.937535276517296,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:56","end":"07:56","startHours":6.937535276517296,"endHours":7.937535276517296,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:56","end":"08:56","startHours":7.937535276517296,"endHours":8.937535276517295,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:56","end":"09:56","startHours":8.937535276517295,"endHours":9.937535276517295,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:56","end":"10:56","startHours":9.937535276517295,"endHours":10.937535276517295,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:56","end":"11:56","startHours":10.937535276517295,"endHours":11.937535276517295,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:56","end":"12:56","startHours":11.937535276517295,"endHours":12.937535276517295,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:56","end":"13:56","startHours":12.937535276517295,"endHours":13.937535276517295,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:56","end":"14:56","startHours":13.937535276517295,"endHours":14.937535276517295,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:56","end":"15:56","startHours":14.937535276517295,"endHours":15.937535276517295,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:56","end":"16:56","startHours":15.937535276517295,"endHours":16.937535276517295,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:56","end":"17:56","startHours":16.937535276517295,"endHours":17.937535276517295,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:56","end":"18:56","startHours":17.937535276517295,"endHours":18.937535276517295,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:56","end":"19:56","startHours":18.937535276517295,"endHours":19.937535276517295,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:56","end":"20:56","startHours":19.937535276517295,"endHours":20.937535276517295,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:56","end":"21:56","startHours":20.937535276517295,"endHours":21.937535276517295,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:56","end":"22:56","startHours":21.937535276517295,"endHours":22.937535276517295,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:56","end":"23:56","startHours":22.937535276517295,"endHours":23.937535276517295,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:56","end":"00:56","startHours":23.937535276517295,"endHours":24.937535276517295,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:56","end":"01:56","startHours":24.937535276517295,"endHours":25.937535276517295,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:56","end":"02:56","startHours":25.937535276517295,"endHours":26.937535276517295,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:56","end":"03:56","startHours":26.937535276517295,"endHours":27.937535276517295,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:56","end":"04:56","startHours":27.937535276517295,"endHours":28.937535276517295,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.512574060965175,"eotMinutes":-3.0500109105302213,"ayanamsa":25.7896}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"id":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi_ingress":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 20, 2138 CE · Berlin, Germany · Vidhyamitra","description":"August 20, 2138 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 04:56, sūryāsta 19:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2138-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2138-08-20","sa":"https://sa.vidhyamitra.com/city/berlin/2138-08-20","hi":"https://hi.vidhyamitra.com/city/berlin/2138-08-20","x-default":"https://vidhyamitra.com/city/berlin/2138-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:09:20.198Z","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":"2026-06-03T00:09:20.198Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:09:20.198Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}