{"id":"vidhyamitra:city-day:berlin:2129-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2129-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-12-07","date_display":"December 7, 2129 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":2129,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499001.770833,"kali_year":5231,"ahargana":1910536.2708,"sun":{"sidereal_longitude":228.489,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":173.672,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.1831,"elapsed_within_tithi_degrees":5.1831},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.672,"elapsed_within_degrees":0.3387},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.161},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2129,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499001.770833,"ahargana":1910536.2708,"kali_year":5231,"ayanamsa_lahiri":25.668,"grahas":{"sun":{"sidereal_longitude":229.26771299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":173.874913,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":4.0115},"mars":{"sidereal_longitude":324.09931299999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":237.06481299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":341.917113,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":227.913413,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":183.42501300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":110.5942,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":290.5942,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"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":2129,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499001.770833,"kali_year":5231,"ahargana":1910536.2708,"sun":{"sidereal_longitude":228.489,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":173.672,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.1831,"elapsed_within_tithi_degrees":5.1831},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.672,"elapsed_within_degrees":0.3387},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.161},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.011,"elongation":54.817},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.011,"opposition_distance":125.183}},"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":"08:03","sunsetLocal":"15:54","solarNoonLocal":"11:59","dayLengthHours":7.852623083197457,"dayLengthDisplay":"7 Hours 51 Mins 09 Secs","nightLengthDisplay":"16 Hours 08 Mins 51 Secs","moonriseLocal":"02:53","moonsetLocal":"13:41","rahuKala":{"name":"Rāhu Kāla","start":"11:59","end":"12:58","startHours":11.977605057944379,"endHours":12.95918294334406,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:01","startHours":9.032871401745332,"endHours":10.014449287145014,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"11:59","startHours":10.996027172544697,"endHours":11.977605057944379,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:09","startHours":9.88357223575839,"endHours":10.145326338531639,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:23","end":"08:35","startHours":8.37848614481221,"endHours":8.58788942703081,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:14","startHours":11.71585095517113,"endHours":12.239359160717628,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:00","end":"07:32","startHours":7.004277105252656,"endHours":7.527785310799153,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:24","end":"08:03","startHours":7.396908259412529,"endHours":8.05129351634565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:49","startHours":13.286375571810622,"endHours":13.809883777357118,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:42","end":"16:06","startHours":15.703916599543108,"endHours":16.10391659954311,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:54","end":"16:14","startHours":15.903916599543107,"endHours":16.231109228009668,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:39","end":"17:24","startHours":15.653916599543107,"endHours":17.40391659954311,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:14","startHours":23.71585095517113,"endHours":24.23935916071763,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"08:03","end":"09:02","startHours":8.05129351634565,"endHours":9.032871401745332,"quality":"auspicious"},{"name":"Amṛta","start":"09:02","end":"10:01","startHours":9.032871401745332,"endHours":10.014449287145014,"quality":"auspicious"},{"name":"Kāla","start":"10:01","end":"11:00","startHours":10.014449287145014,"endHours":10.996027172544697,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"11:59","startHours":10.996027172544697,"endHours":11.977605057944379,"quality":"auspicious"},{"name":"Roga","start":"11:59","end":"12:58","startHours":11.977605057944379,"endHours":12.95918294334406,"quality":"inauspicious"},{"name":"Udveg","start":"12:58","end":"13:56","startHours":12.95918294334406,"endHours":13.940760828743743,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"14:55","startHours":13.940760828743743,"endHours":14.922338714143425,"quality":"neutral"},{"name":"Labha","start":"14:55","end":"15:54","startHours":14.922338714143425,"endHours":15.903916599543107,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"15:54","end":"17:55","startHours":15.903916599543107,"endHours":17.922338714143425,"quality":"inauspicious"},{"name":"Chala","start":"17:55","end":"19:56","startHours":17.922338714143425,"endHours":19.94076082874374,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:58","startHours":19.94076082874374,"endHours":21.95918294334406,"quality":"auspicious"},{"name":"Amṛta","start":"21:58","end":"23:59","startHours":21.95918294334406,"endHours":23.97760505794438,"quality":"auspicious"},{"name":"Kāla","start":"23:59","end":"02:00","startHours":23.97760505794438,"endHours":25.996027172544697,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"04:01","startHours":25.996027172544697,"endHours":28.014449287145013,"quality":"auspicious"},{"name":"Roga","start":"04:01","end":"06:02","startHours":28.014449287145013,"endHours":30.032871401745332,"quality":"inauspicious"},{"name":"Udveg","start":"06:02","end":"08:03","startHours":30.032871401745332,"endHours":32.05129351634565,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:03","end":"09:03","startHours":8.05129351634565,"endHours":9.05129351634565,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"09:03","end":"10:03","startHours":9.05129351634565,"endHours":10.05129351634565,"planetary_lord":"Venus"},{"name":"Hora 3","start":"10:03","end":"11:03","startHours":10.05129351634565,"endHours":11.05129351634565,"planetary_lord":"Sun"},{"name":"Hora 4","start":"11:03","end":"12:03","startHours":11.05129351634565,"endHours":12.05129351634565,"planetary_lord":"Mars"},{"name":"Hora 5","start":"12:03","end":"13:03","startHours":12.05129351634565,"endHours":13.05129351634565,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"13:03","end":"14:03","startHours":13.05129351634565,"endHours":14.05129351634565,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"14:03","end":"15:03","startHours":14.05129351634565,"endHours":15.05129351634565,"planetary_lord":"Moon"},{"name":"Hora 8","start":"15:03","end":"16:03","startHours":15.05129351634565,"endHours":16.051293516345652,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"16:03","end":"17:03","startHours":16.051293516345652,"endHours":17.051293516345652,"planetary_lord":"Venus"},{"name":"Hora 10","start":"17:03","end":"18:03","startHours":17.051293516345652,"endHours":18.051293516345652,"planetary_lord":"Sun"},{"name":"Hora 11","start":"18:03","end":"19:03","startHours":18.051293516345652,"endHours":19.051293516345652,"planetary_lord":"Mars"},{"name":"Hora 12","start":"19:03","end":"20:03","startHours":19.051293516345652,"endHours":20.051293516345652,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"20:03","end":"21:03","startHours":20.051293516345652,"endHours":21.051293516345652,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"21:03","end":"22:03","startHours":21.051293516345652,"endHours":22.051293516345652,"planetary_lord":"Moon"},{"name":"Hora 15","start":"22:03","end":"23:03","startHours":22.051293516345652,"endHours":23.051293516345652,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"23:03","end":"00:03","startHours":23.051293516345652,"endHours":24.051293516345652,"planetary_lord":"Venus"},{"name":"Hora 17","start":"00:03","end":"01:03","startHours":24.051293516345652,"endHours":25.051293516345652,"planetary_lord":"Sun"},{"name":"Hora 18","start":"01:03","end":"02:03","startHours":25.051293516345652,"endHours":26.051293516345652,"planetary_lord":"Mars"},{"name":"Hora 19","start":"02:03","end":"03:03","startHours":26.051293516345652,"endHours":27.051293516345652,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"03:03","end":"04:03","startHours":27.051293516345652,"endHours":28.051293516345652,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"04:03","end":"05:03","startHours":28.051293516345652,"endHours":29.051293516345652,"planetary_lord":"Moon"},{"name":"Hora 22","start":"05:03","end":"06:03","startHours":29.051293516345652,"endHours":30.051293516345652,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"06:03","end":"07:03","startHours":30.051293516345652,"endHours":31.051293516345652,"planetary_lord":"Venus"},{"name":"Hora 24","start":"07:03","end":"08:03","startHours":31.051293516345652,"endHours":32.05129351634565,"planetary_lord":"Sun"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","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":-22.585663938683915,"eotMinutes":7.723696523337262,"ayanamsa":25.668}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"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 Ekādaśī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[]},"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 7, 2129 CE · Berlin, Germany · Vidhyamitra","description":"December 7, 2129 CE for Berlin, Germany: Kṛṣṇa Ekādaśī, sūryodaya 08:03, sūryāsta 15:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2129-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2129-12-07","sa":"https://sa.vidhyamitra.com/city/berlin/2129-12-07","hi":"https://hi.vidhyamitra.com/city/berlin/2129-12-07","x-default":"https://vidhyamitra.com/city/berlin/2129-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:24:23.640Z","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":"2026-06-01T03:24:23.640Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:24:23.640Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}