{"id":"vidhyamitra:city-day:berlin:2050-10-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2050-10-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-19","date_display":"October 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":10,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470098.770833,"kali_year":5152,"ahargana":1881633.2708,"sun":{"sidereal_longitude":180.4416,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":218.456,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.0144,"elapsed_within_tithi_degrees":2.0144},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.456,"elapsed_within_degrees":5.1227},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.8977},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2050,"month":10,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470098.770833,"ahargana":1881633.2708,"kali_year":5152,"ayanamsa_lahiri":24.5626,"grahas":{"sun":{"sidereal_longitude":181.29192,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":217.08652000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":1.2725},"mars":{"sidereal_longitude":299.02531999999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":188.66422,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":124.69522,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":177.10792000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":277.15922,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.0143,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.0143,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":10,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470098.770833,"kali_year":5152,"ahargana":1881633.2708,"sun":{"sidereal_longitude":180.4416,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":218.456,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.0144,"elapsed_within_tithi_degrees":2.0144},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.456,"elapsed_within_degrees":5.1227},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.8977},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.272,"elongation":38.014},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.272,"opposition_distance":141.986}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":0.786,"opposition_distance":0.07}]},"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":"06:38","sunsetLocal":"17:03","solarNoonLocal":"11:51","dayLengthHours":10.41942238847195,"dayLengthDisplay":"10 Hours 25 Mins 10 Secs","nightLengthDisplay":"13 Hours 34 Mins 50 Secs","moonriseLocal":"10:06","moonsetLocal":"18:22","rahuKala":{"name":"Rāhu Kāla","start":"11:51","end":"13:09","startHours":11.847129750472352,"endHours":13.149557549031345,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:56","end":"09:15","startHours":7.939846354795369,"endHours":9.242274153354362,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"11:51","startHours":10.544701951913357,"endHours":11.847129750472352,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.068617113546498,"endHours":9.41593119316223,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:04","end":"07:21","startHours":7.07156115575604,"endHours":7.349412419448625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:12","startHours":11.49981567085662,"endHours":12.194443830088083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:15","end":"05:57","startHours":5.248162237773449,"endHours":5.942790397004912,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:46","end":"06:38","startHours":5.769133357197046,"endHours":6.6374185562363754,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:17","startHours":13.58370014855101,"endHours":14.278328307782473,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.856840944708328,"endHours":17.256840944708326,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:29","startHours":17.056840944708327,"endHours":17.49098354422799,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.806840944708327,"endHours":18.556840944708327,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:12","startHours":23.49981567085662,"endHours":24.194443830088083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:38","end":"07:56","startHours":6.6374185562363754,"endHours":7.939846354795369,"quality":"auspicious"},{"name":"Amṛta","start":"07:56","end":"09:15","startHours":7.939846354795369,"endHours":9.242274153354362,"quality":"auspicious"},{"name":"Kāla","start":"09:15","end":"10:33","startHours":9.242274153354362,"endHours":10.544701951913357,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"11:51","startHours":10.544701951913357,"endHours":11.847129750472352,"quality":"auspicious"},{"name":"Roga","start":"11:51","end":"13:09","startHours":11.847129750472352,"endHours":13.149557549031345,"quality":"inauspicious"},{"name":"Udveg","start":"13:09","end":"14:27","startHours":13.149557549031345,"endHours":14.451985347590337,"quality":"inauspicious"},{"name":"Chala","start":"14:27","end":"15:45","startHours":14.451985347590337,"endHours":15.754413146149332,"quality":"neutral"},{"name":"Labha","start":"15:45","end":"17:03","startHours":15.754413146149332,"endHours":17.056840944708327,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:03","end":"18:45","startHours":17.056840944708327,"endHours":18.754413146149332,"quality":"inauspicious"},{"name":"Chala","start":"18:45","end":"20:27","startHours":18.754413146149332,"endHours":20.451985347590337,"quality":"neutral"},{"name":"Labha","start":"20:27","end":"22:09","startHours":20.451985347590337,"endHours":22.149557549031346,"quality":"auspicious"},{"name":"Amṛta","start":"22:09","end":"23:51","startHours":22.149557549031346,"endHours":23.84712975047235,"quality":"auspicious"},{"name":"Kāla","start":"23:51","end":"01:33","startHours":23.84712975047235,"endHours":25.544701951913357,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"03:15","startHours":25.544701951913357,"endHours":27.242274153354366,"quality":"auspicious"},{"name":"Roga","start":"03:15","end":"04:56","startHours":27.242274153354366,"endHours":28.93984635479537,"quality":"inauspicious"},{"name":"Udveg","start":"04:56","end":"06:38","startHours":28.93984635479537,"endHours":30.637418556236376,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:38","end":"07:38","startHours":6.6374185562363754,"endHours":7.6374185562363754,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:38","end":"08:38","startHours":7.6374185562363754,"endHours":8.637418556236376,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:38","end":"09:38","startHours":8.637418556236376,"endHours":9.637418556236376,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:38","end":"10:38","startHours":9.637418556236376,"endHours":10.637418556236376,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:38","end":"11:38","startHours":10.637418556236376,"endHours":11.637418556236376,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:38","end":"12:38","startHours":11.637418556236376,"endHours":12.637418556236376,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:38","end":"13:38","startHours":12.637418556236376,"endHours":13.637418556236376,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:38","end":"14:38","startHours":13.637418556236376,"endHours":14.637418556236376,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:38","end":"15:38","startHours":14.637418556236376,"endHours":15.637418556236376,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:38","end":"16:38","startHours":15.637418556236376,"endHours":16.637418556236376,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:38","end":"17:38","startHours":16.637418556236376,"endHours":17.637418556236376,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:38","end":"18:38","startHours":17.637418556236376,"endHours":18.637418556236376,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:38","end":"19:38","startHours":18.637418556236376,"endHours":19.637418556236376,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:38","end":"20:38","startHours":19.637418556236376,"endHours":20.637418556236376,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:38","end":"21:38","startHours":20.637418556236376,"endHours":21.637418556236376,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:38","end":"22:38","startHours":21.637418556236376,"endHours":22.637418556236376,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:38","end":"23:38","startHours":22.637418556236376,"endHours":23.637418556236376,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:38","end":"00:38","startHours":23.637418556236376,"endHours":24.637418556236376,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:38","end":"01:38","startHours":24.637418556236376,"endHours":25.637418556236376,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:38","end":"02:38","startHours":25.637418556236376,"endHours":26.637418556236376,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:38","end":"03:38","startHours":26.637418556236376,"endHours":27.637418556236376,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:38","end":"04:38","startHours":27.637418556236376,"endHours":28.637418556236376,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:38","end":"05:38","startHours":28.637418556236376,"endHours":29.637418556236376,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:38","end":"06:38","startHours":29.637418556236376,"endHours":30.637418556236376,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.98824898195562,"eotMinutes":15.552214971658897,"ayanamsa":24.5626}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — 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 October 19, 2050 CE · Berlin, Germany · Vidhyamitra","description":"October 19, 2050 CE for Berlin, Germany: Śukla Caturthī, sūryodaya 06:38, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2050-10-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2050-10-19","sa":"https://sa.vidhyamitra.com/city/berlin/2050-10-19","hi":"https://hi.vidhyamitra.com/city/berlin/2050-10-19","x-default":"https://vidhyamitra.com/city/berlin/2050-10-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:15:00.834Z","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":"2026-09-06T10:15:00.834Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:15:00.834Z","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"}}}