{"id":"vidhyamitra:city-day:berlin:2050-05-23:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2050-05-23","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-05-23","date_display":"May 23, 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":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469949.770833,"kali_year":5152,"ahargana":1881484.2708,"sun":{"sidereal_longitude":37.4025,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":65.9464,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.5438,"elapsed_within_tithi_degrees":4.5438},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9464,"elapsed_within_degrees":12.613},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.3489},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2050,"month":5,"day":23,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469949.770833,"ahargana":1881484.2708,"kali_year":5152,"ayanamsa_lahiri":24.5569,"grahas":{"sun":{"sidereal_longitude":37.58461299999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":64.14721299999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-2.6456},"mars":{"sidereal_longitude":286.815613,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":12.090112999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":94.725413,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":71.274813,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":283.61021300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":209.909,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.909,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"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":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469949.770833,"kali_year":5152,"ahargana":1881484.2708,"sun":{"sidereal_longitude":37.4025,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":65.9464,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.5438,"elapsed_within_tithi_degrees":4.5438},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9464,"elapsed_within_degrees":12.613},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.3489},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.646,"elongation":28.544},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.646,"opposition_distance":151.456}},"eclipse_window_40days":[{"offset_days":-16,"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":"03:59","sunsetLocal":"20:07","solarNoonLocal":"12:03","dayLengthHours":16.136571115260825,"dayLengthDisplay":"16 Hours 08 Mins 12 Secs","nightLengthDisplay":"7 Hours 51 Mins 48 Secs","moonriseLocal":"05:26","moonsetLocal":"22:12","rahuKala":{"name":"Rāhu Kāla","start":"06:00","end":"08:01","startHours":5.998527709395583,"endHours":8.015599098803186,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:02","end":"12:03","startHours":10.03267048821079,"endHours":12.049741877618393,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:04","end":"16:05","startHours":14.066813267025996,"endHours":16.0838846564336,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:45","end":"08:17","startHours":7.746656246882173,"endHours":8.2845419507242,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:39","end":"05:05","startHours":4.6538134497905155,"endHours":5.084122012864137,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:35","startHours":11.511856173776366,"endHours":12.58762758146042,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:50","end":"02:54","startHours":1.8299135046198707,"endHours":2.9056849123039257,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:38","end":"03:59","startHours":2.636742060382912,"endHours":3.9814563199879807,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:49","startHours":14.73917039682853,"endHours":15.814941804512586,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:55","end":"20:19","startHours":19.918027435248806,"endHours":20.318027435248805,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:07","end":"20:47","startHours":20.118027435248806,"endHours":20.79038456505134,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:52","end":"21:37","startHours":19.868027435248806,"endHours":21.618027435248806,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:35","startHours":23.511856173776366,"endHours":24.587627581460424,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"03:59","end":"06:00","startHours":3.9814563199879807,"endHours":5.998527709395583,"quality":"auspicious"},{"name":"Kāla","start":"06:00","end":"08:01","startHours":5.998527709395583,"endHours":8.015599098803186,"quality":"inauspicious"},{"name":"Śubha","start":"08:01","end":"10:02","startHours":8.015599098803186,"endHours":10.03267048821079,"quality":"auspicious"},{"name":"Roga","start":"10:02","end":"12:03","startHours":10.03267048821079,"endHours":12.049741877618393,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"14:04","startHours":12.049741877618393,"endHours":14.066813267025996,"quality":"inauspicious"},{"name":"Chala","start":"14:04","end":"16:05","startHours":14.066813267025996,"endHours":16.0838846564336,"quality":"neutral"},{"name":"Labha","start":"16:05","end":"18:06","startHours":16.0838846564336,"endHours":18.1009560458412,"quality":"auspicious"},{"name":"Amṛta","start":"18:06","end":"20:07","startHours":18.1009560458412,"endHours":20.118027435248806,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:07","end":"21:06","startHours":20.118027435248806,"endHours":21.1009560458412,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:05","startHours":21.1009560458412,"endHours":22.0838846564336,"quality":"auspicious"},{"name":"Amṛta","start":"22:05","end":"23:04","startHours":22.0838846564336,"endHours":23.066813267025996,"quality":"auspicious"},{"name":"Kāla","start":"23:04","end":"00:03","startHours":23.066813267025996,"endHours":24.049741877618395,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:02","startHours":24.049741877618395,"endHours":25.03267048821079,"quality":"auspicious"},{"name":"Roga","start":"01:02","end":"02:01","startHours":25.03267048821079,"endHours":26.015599098803186,"quality":"inauspicious"},{"name":"Udveg","start":"02:01","end":"03:00","startHours":26.015599098803186,"endHours":26.99852770939558,"quality":"inauspicious"},{"name":"Chala","start":"03:00","end":"03:59","startHours":26.99852770939558,"endHours":27.98145631998798,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"03:59","end":"04:59","startHours":3.9814563199879807,"endHours":4.981456319987981,"planetary_lord":"Moon"},{"name":"Hora 2","start":"04:59","end":"05:59","startHours":4.981456319987981,"endHours":5.981456319987981,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"05:59","end":"06:59","startHours":5.981456319987981,"endHours":6.981456319987981,"planetary_lord":"Venus"},{"name":"Hora 4","start":"06:59","end":"07:59","startHours":6.981456319987981,"endHours":7.981456319987981,"planetary_lord":"Sun"},{"name":"Hora 5","start":"07:59","end":"08:59","startHours":7.981456319987981,"endHours":8.98145631998798,"planetary_lord":"Mars"},{"name":"Hora 6","start":"08:59","end":"09:59","startHours":8.98145631998798,"endHours":9.98145631998798,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"09:59","end":"10:59","startHours":9.98145631998798,"endHours":10.98145631998798,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"10:59","end":"11:59","startHours":10.98145631998798,"endHours":11.98145631998798,"planetary_lord":"Moon"},{"name":"Hora 9","start":"11:59","end":"12:59","startHours":11.98145631998798,"endHours":12.98145631998798,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"12:59","end":"13:59","startHours":12.98145631998798,"endHours":13.98145631998798,"planetary_lord":"Venus"},{"name":"Hora 11","start":"13:59","end":"14:59","startHours":13.98145631998798,"endHours":14.98145631998798,"planetary_lord":"Sun"},{"name":"Hora 12","start":"14:59","end":"15:59","startHours":14.98145631998798,"endHours":15.98145631998798,"planetary_lord":"Mars"},{"name":"Hora 13","start":"15:59","end":"16:59","startHours":15.98145631998798,"endHours":16.98145631998798,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"16:59","end":"17:59","startHours":16.98145631998798,"endHours":17.98145631998798,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"17:59","end":"18:59","startHours":17.98145631998798,"endHours":18.98145631998798,"planetary_lord":"Moon"},{"name":"Hora 16","start":"18:59","end":"19:59","startHours":18.98145631998798,"endHours":19.98145631998798,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"19:59","end":"20:59","startHours":19.98145631998798,"endHours":20.98145631998798,"planetary_lord":"Venus"},{"name":"Hora 18","start":"20:59","end":"21:59","startHours":20.98145631998798,"endHours":21.98145631998798,"planetary_lord":"Sun"},{"name":"Hora 19","start":"21:59","end":"22:59","startHours":21.98145631998798,"endHours":22.98145631998798,"planetary_lord":"Mars"},{"name":"Hora 20","start":"22:59","end":"23:59","startHours":22.98145631998798,"endHours":23.98145631998798,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"23:59","end":"00:59","startHours":23.98145631998798,"endHours":24.98145631998798,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"00:59","end":"01:59","startHours":24.98145631998798,"endHours":25.98145631998798,"planetary_lord":"Moon"},{"name":"Hora 23","start":"01:59","end":"02:59","startHours":25.98145631998798,"endHours":26.98145631998798,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"02:59","end":"03:59","startHours":26.98145631998798,"endHours":27.98145631998798,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.587475998995203,"eotMinutes":3.395487342896394,"ayanamsa":24.5569}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","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 Śukla Tṛtīyā · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 23, 2050 CE · Berlin, Germany · Vidhyamitra","description":"May 23, 2050 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 03:59, sūryāsta 20:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2050-05-23","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2050-05-23","sa":"https://sa.vidhyamitra.com/city/berlin/2050-05-23","hi":"https://hi.vidhyamitra.com/city/berlin/2050-05-23","x-default":"https://vidhyamitra.com/city/berlin/2050-05-23"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:10:29.347Z","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":"2026-09-06T10:10:29.347Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:10:29.347Z","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"}}}