{"id":"vidhyamitra:city-day:berlin:2050-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2050-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-12-03","date_display":"December 3, 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":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470143.770833,"kali_year":5152,"ahargana":1881678.2708,"sun":{"sidereal_longitude":225.8737,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":100.9553,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0816,"elapsed_within_tithi_degrees":7.0816},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.9553,"elapsed_within_degrees":7.622},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.829},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470143.770833,"ahargana":1881678.2708,"kali_year":5152,"ayanamsa_lahiri":24.5643,"grahas":{"sun":{"sidereal_longitude":226.485001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":100.664401,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-4.4484},"mars":{"sidereal_longitude":322.14060099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":242.55110100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":129.913501,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":181.65600100000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":279.677001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":199.6299,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":19.6299,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470143.770833,"kali_year":5152,"ahargana":1881678.2708,"sun":{"sidereal_longitude":225.8737,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":100.9553,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0816,"elapsed_within_tithi_degrees":7.0816},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.9553,"elapsed_within_degrees":7.622},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.829},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.448,"elongation":124.918},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.448,"opposition_distance":55.082}},"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":"07:58","sunsetLocal":"15:56","solarNoonLocal":"11:57","dayLengthHours":7.967320575895574,"dayLengthDisplay":"7 Hours 58 Mins 02 Secs","nightLengthDisplay":"16 Hours 01 Mins 58 Secs","moonriseLocal":"19:43","moonsetLocal":"11:25","rahuKala":{"name":"Rāhu Kāla","start":"09:58","end":"10:57","startHours":9.958522740515143,"endHours":10.95443781250209,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:57","end":"13:57","startHours":12.946267956475982,"endHours":13.942183028462928,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:58","end":"08:58","startHours":7.9666925965412485,"endHours":8.962607668528195,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:50","end":"10:05","startHours":9.825734064250216,"endHours":10.09131141678007,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:18","end":"08:31","startHours":8.298664287203565,"endHours":8.511126169227447,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:13","startHours":11.684775531959183,"endHours":12.215930237018888,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:54","end":"07:26","startHours":6.904383186421839,"endHours":7.435537891481544,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:18","end":"07:58","startHours":7.302749215216617,"endHours":7.9666925965412485,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:49","startHours":13.278239647138298,"endHours":13.809394352198003,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:44","end":"16:08","startHours":15.734013172436823,"endHours":16.134013172436823,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:56","end":"16:16","startHours":15.934013172436822,"endHours":16.26598486309914,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:41","end":"17:26","startHours":15.684013172436822,"endHours":17.43401317243682,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:13","startHours":23.684775531959183,"endHours":24.21593023701889,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:58","end":"08:58","startHours":7.9666925965412485,"endHours":8.962607668528195,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"09:58","startHours":8.962607668528195,"endHours":9.958522740515143,"quality":"auspicious"},{"name":"Roga","start":"09:58","end":"10:57","startHours":9.958522740515143,"endHours":10.95443781250209,"quality":"inauspicious"},{"name":"Udveg","start":"10:57","end":"11:57","startHours":10.95443781250209,"endHours":11.950352884489035,"quality":"inauspicious"},{"name":"Chala","start":"11:57","end":"12:57","startHours":11.950352884489035,"endHours":12.946267956475982,"quality":"neutral"},{"name":"Labha","start":"12:57","end":"13:57","startHours":12.946267956475982,"endHours":13.942183028462928,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"14:56","startHours":13.942183028462928,"endHours":14.938098100449876,"quality":"auspicious"},{"name":"Kāla","start":"14:56","end":"15:56","startHours":14.938098100449876,"endHours":15.934013172436822,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"15:56","end":"17:56","startHours":15.934013172436822,"endHours":17.938098100449874,"quality":"auspicious"},{"name":"Amṛta","start":"17:56","end":"19:57","startHours":17.938098100449874,"endHours":19.942183028462928,"quality":"auspicious"},{"name":"Kāla","start":"19:57","end":"21:57","startHours":19.942183028462928,"endHours":21.94626795647598,"quality":"inauspicious"},{"name":"Śubha","start":"21:57","end":"23:57","startHours":21.94626795647598,"endHours":23.950352884489035,"quality":"auspicious"},{"name":"Roga","start":"23:57","end":"01:57","startHours":23.950352884489035,"endHours":25.95443781250209,"quality":"inauspicious"},{"name":"Udveg","start":"01:57","end":"03:58","startHours":25.95443781250209,"endHours":27.958522740515143,"quality":"inauspicious"},{"name":"Chala","start":"03:58","end":"05:58","startHours":27.958522740515143,"endHours":29.962607668528193,"quality":"neutral"},{"name":"Labha","start":"05:58","end":"07:58","startHours":29.962607668528193,"endHours":31.96669259654125,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:58","end":"08:58","startHours":7.9666925965412485,"endHours":8.966692596541249,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:58","end":"09:58","startHours":8.966692596541249,"endHours":9.966692596541249,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:58","end":"10:58","startHours":9.966692596541249,"endHours":10.966692596541249,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:58","end":"11:58","startHours":10.966692596541249,"endHours":11.966692596541249,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:58","end":"12:58","startHours":11.966692596541249,"endHours":12.966692596541249,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:58","end":"13:58","startHours":12.966692596541249,"endHours":13.966692596541249,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:58","end":"14:58","startHours":13.966692596541249,"endHours":14.966692596541249,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:58","end":"15:58","startHours":14.966692596541249,"endHours":15.966692596541249,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:58","end":"16:58","startHours":15.966692596541249,"endHours":16.96669259654125,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:58","end":"17:58","startHours":16.96669259654125,"endHours":17.96669259654125,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:58","end":"18:58","startHours":17.96669259654125,"endHours":18.96669259654125,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:58","end":"19:58","startHours":18.96669259654125,"endHours":19.96669259654125,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:58","end":"20:58","startHours":19.96669259654125,"endHours":20.96669259654125,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:58","end":"21:58","startHours":20.96669259654125,"endHours":21.96669259654125,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:58","end":"22:58","startHours":21.96669259654125,"endHours":22.96669259654125,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:58","end":"23:58","startHours":22.96669259654125,"endHours":23.96669259654125,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:58","end":"00:58","startHours":23.96669259654125,"endHours":24.96669259654125,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:58","end":"01:58","startHours":24.96669259654125,"endHours":25.96669259654125,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:58","end":"02:58","startHours":25.96669259654125,"endHours":26.96669259654125,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:58","end":"03:58","startHours":26.96669259654125,"endHours":27.96669259654125,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:58","end":"04:58","startHours":27.96669259654125,"endHours":28.96669259654125,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:58","end":"05:58","startHours":28.96669259654125,"endHours":29.96669259654125,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:58","end":"06:58","startHours":29.96669259654125,"endHours":30.96669259654125,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:58","end":"07:58","startHours":30.96669259654125,"endHours":31.96669259654125,"planetary_lord":"Mercury"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.09693581012276,"eotMinutes":9.35882693065794,"ayanamsa":24.5643}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pañcamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 December 3, 2050 CE · Berlin, Germany · Vidhyamitra","description":"December 3, 2050 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 07:58, sūryāsta 15:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2050-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2050-12-03","sa":"https://sa.vidhyamitra.com/city/berlin/2050-12-03","hi":"https://hi.vidhyamitra.com/city/berlin/2050-12-03","x-default":"https://vidhyamitra.com/city/berlin/2050-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:46:46.358Z","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":"2026-09-06T10:46:46.358Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:46:46.358Z","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"}}}