{"id":"vidhyamitra:city-day:berlin:2050-05-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2050-05-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-05-19","date_display":"May 19, 2050 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":5,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469945.770833,"kali_year":5152,"ahargana":1881480.2708,"sun":{"sidereal_longitude":33.5785,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":11.8351,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.2565,"elapsed_within_tithi_degrees":2.2565},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.8351,"elapsed_within_degrees":11.8351},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.4136},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2050,"month":5,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469945.770833,"ahargana":1881480.2708,"kali_year":5152,"ayanamsa_lahiri":24.5568,"grahas":{"sun":{"sidereal_longitude":33.73506600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":10.438765999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":1.4106},"mars":{"sidereal_longitude":284.9163659999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":7.300566000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":94.09606600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":66.53206599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":283.627166,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":210.1209,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.1209,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":5,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469945.770833,"kali_year":5152,"ahargana":1881480.2708,"sun":{"sidereal_longitude":33.5785,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":11.8351,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.2565,"elapsed_within_tithi_degrees":2.2565},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.8351,"elapsed_within_degrees":11.8351},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.4136},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.411,"elongation":21.743},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.411,"opposition_distance":158.257}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":-0.621,"opposition_distance":0.75}]},"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":"04:04","sunsetLocal":"20:01","solarNoonLocal":"12:03","dayLengthHours":15.950131865567759,"dayLengthDisplay":"15 Hours 57 Mins 00 Secs","nightLengthDisplay":"8 Hours 03 Mins 00 Secs","moonriseLocal":"03:14","moonsetLocal":"17:45","rahuKala":{"name":"Rāhu Kāla","start":"14:02","end":"16:02","startHours":14.039295106511991,"endHours":16.033061589707962,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:04","end":"06:04","startHours":4.070462690532143,"endHours":6.064229173728112,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:03","end":"10:03","startHours":8.057995656924081,"endHours":10.051762140120053,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:48","end":"08:19","startHours":7.792160125831286,"endHours":8.323831188016879,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:44","end":"05:10","startHours":4.735051518264132,"endHours":5.160388368012606,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:35","startHours":11.51385756113043,"endHours":12.577199685501613,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:57","end":"03:00","startHours":1.943778441789775,"endHours":3.0071205661609586,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:44","end":"04:04","startHours":2.741285035068163,"endHours":4.070462690532143,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:46","startHours":14.703883934243981,"endHours":15.767226058615165,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:49","end":"20:13","startHours":19.820594556099902,"endHours":20.2205945560999,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:01","end":"20:41","startHours":20.0205945560999,"endHours":20.68518338383189,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:46","end":"21:31","startHours":19.7705945560999,"endHours":21.5205945560999,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:35","startHours":23.513857561130433,"endHours":24.577199685501615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:04","end":"06:04","startHours":4.070462690532143,"endHours":6.064229173728112,"quality":"auspicious"},{"name":"Roga","start":"06:04","end":"08:03","startHours":6.064229173728112,"endHours":8.057995656924081,"quality":"inauspicious"},{"name":"Udveg","start":"08:03","end":"10:03","startHours":8.057995656924081,"endHours":10.051762140120053,"quality":"inauspicious"},{"name":"Chala","start":"10:03","end":"12:03","startHours":10.051762140120053,"endHours":12.045528623316022,"quality":"neutral"},{"name":"Labha","start":"12:03","end":"14:02","startHours":12.045528623316022,"endHours":14.039295106511991,"quality":"auspicious"},{"name":"Amṛta","start":"14:02","end":"16:02","startHours":14.039295106511991,"endHours":16.033061589707962,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"18:02","startHours":16.033061589707962,"endHours":18.026828072903932,"quality":"inauspicious"},{"name":"Śubha","start":"18:02","end":"20:01","startHours":18.026828072903932,"endHours":20.0205945560999,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:01","end":"21:02","startHours":20.0205945560999,"endHours":21.026828072903932,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:02","startHours":21.026828072903932,"endHours":22.033061589707962,"quality":"inauspicious"},{"name":"Śubha","start":"22:02","end":"23:02","startHours":22.033061589707962,"endHours":23.039295106511993,"quality":"auspicious"},{"name":"Roga","start":"23:02","end":"00:03","startHours":23.039295106511993,"endHours":24.045528623316024,"quality":"inauspicious"},{"name":"Udveg","start":"00:03","end":"01:03","startHours":24.045528623316024,"endHours":25.051762140120054,"quality":"inauspicious"},{"name":"Chala","start":"01:03","end":"02:03","startHours":25.051762140120054,"endHours":26.05799565692408,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:04","startHours":26.05799565692408,"endHours":27.064229173728112,"quality":"auspicious"},{"name":"Amṛta","start":"03:04","end":"04:04","startHours":27.064229173728112,"endHours":28.070462690532143,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:04","end":"05:04","startHours":4.070462690532143,"endHours":5.070462690532143,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:04","end":"06:04","startHours":5.070462690532143,"endHours":6.070462690532143,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:04","end":"07:04","startHours":6.070462690532143,"endHours":7.070462690532143,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:04","end":"08:04","startHours":7.070462690532143,"endHours":8.070462690532143,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:04","end":"09:04","startHours":8.070462690532143,"endHours":9.070462690532143,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:04","end":"10:04","startHours":9.070462690532143,"endHours":10.070462690532143,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:04","end":"11:04","startHours":10.070462690532143,"endHours":11.070462690532143,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:04","end":"12:04","startHours":11.070462690532143,"endHours":12.070462690532143,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:04","end":"13:04","startHours":12.070462690532143,"endHours":13.070462690532143,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:04","end":"14:04","startHours":13.070462690532143,"endHours":14.070462690532143,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:04","end":"15:04","startHours":14.070462690532143,"endHours":15.070462690532143,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:04","end":"16:04","startHours":15.070462690532143,"endHours":16.070462690532143,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:04","end":"17:04","startHours":16.070462690532143,"endHours":17.070462690532143,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:04","end":"18:04","startHours":17.070462690532143,"endHours":18.070462690532143,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:04","end":"19:04","startHours":18.070462690532143,"endHours":19.070462690532143,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:04","end":"20:04","startHours":19.070462690532143,"endHours":20.070462690532143,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:04","end":"21:04","startHours":20.070462690532143,"endHours":21.070462690532143,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:04","end":"22:04","startHours":21.070462690532143,"endHours":22.070462690532143,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:04","end":"23:04","startHours":22.070462690532143,"endHours":23.070462690532143,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:04","end":"00:04","startHours":23.070462690532143,"endHours":24.070462690532143,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:04","end":"01:04","startHours":24.070462690532143,"endHours":25.070462690532143,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:04","end":"02:04","startHours":25.070462690532143,"endHours":26.070462690532143,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:04","end":"03:04","startHours":26.070462690532143,"endHours":27.070462690532143,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:04","end":"04:04","startHours":27.070462690532143,"endHours":28.070462690532143,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.77732414006579,"eotMinutes":3.648282601038657,"ayanamsa":24.5568}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturdaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Māsika Śivarātri is not live yet; 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 May 19, 2050 CE · Berlin, Germany · Vidhyamitra","description":"May 19, 2050 CE for Berlin, Germany: Kṛṣṇa Caturdaśī, sūryodaya 04:04, sūryāsta 20:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2050-05-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2050-05-19","sa":"https://sa.vidhyamitra.com/city/berlin/2050-05-19","hi":"https://hi.vidhyamitra.com/city/berlin/2050-05-19","x-default":"https://vidhyamitra.com/city/berlin/2050-05-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:14:24.742Z","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":"2026-09-06T10:14:24.742Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:14:24.742Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}