{"id":"vidhyamitra:city-day:berlin:2157-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2157-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-01-05","date_display":"January 5, 2157 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":2157,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508892.770833,"kali_year":5258,"ahargana":1920427.2708,"sun":{"sidereal_longitude":258.2685,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":182.8935,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.6249,"elapsed_within_tithi_degrees":8.6249},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.8935,"elapsed_within_degrees":9.5601},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.162},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2157,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508892.770833,"ahargana":1920427.2708,"kali_year":5258,"ayanamsa_lahiri":26.0463,"grahas":{"sun":{"sidereal_longitude":258.8547040000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":181.76790400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-3.7457},"mars":{"sidereal_longitude":175.359104,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.68830400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":102.90580399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":247.39730399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":156.04040399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":306.5214,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.5214,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2157,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508892.770833,"kali_year":5258,"ahargana":1920427.2708,"sun":{"sidereal_longitude":258.2685,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":182.8935,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.6249,"elapsed_within_tithi_degrees":8.6249},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.8935,"elapsed_within_degrees":9.5601},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.162},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.746,"elongation":75.375},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.746,"opposition_distance":104.625}},"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":"08:16","sunsetLocal":"16:07","solarNoonLocal":"12:12","dayLengthHours":7.84832000862394,"dayLengthDisplay":"7 Hours 50 Mins 54 Secs","nightLengthDisplay":"16 Hours 09 Mins 06 Secs","moonriseLocal":"01:57","moonsetLocal":"12:10","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:11","startHours":12.197212843736052,"endHours":13.178252844814045,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:15","end":"10:14","startHours":9.254092840502075,"endHours":10.235132841580068,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:13","end":"12:12","startHours":11.21617284265806,"endHours":12.197212843736052,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.104327508103001,"endHours":10.365938175057133,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:49","startHours":8.600066173116746,"endHours":8.80935470668005,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:28","startHours":11.93560217678192,"endHours":12.458823510690184,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:14","end":"07:45","startHours":7.226610171607557,"endHours":7.74983150551582,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:37","end":"08:16","startHours":7.619026172038754,"endHours":8.273052839424082,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:02","startHours":13.505266178506709,"endHours":14.028487512414971,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:55","end":"16:19","startHours":15.921372848048023,"endHours":16.32137284804802,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:07","end":"16:27","startHours":16.121372848048022,"endHours":16.448386181740688,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:52","end":"17:37","startHours":15.871372848048022,"endHours":17.621372848048022,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:28","startHours":23.935602176781924,"endHours":24.458823510690184,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"08:16","end":"09:15","startHours":8.273052839424082,"endHours":9.254092840502075,"quality":"auspicious"},{"name":"Amṛta","start":"09:15","end":"10:14","startHours":9.254092840502075,"endHours":10.235132841580068,"quality":"auspicious"},{"name":"Kāla","start":"10:14","end":"11:13","startHours":10.235132841580068,"endHours":11.21617284265806,"quality":"inauspicious"},{"name":"Śubha","start":"11:13","end":"12:12","startHours":11.21617284265806,"endHours":12.197212843736052,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:11","startHours":12.197212843736052,"endHours":13.178252844814045,"quality":"inauspicious"},{"name":"Udveg","start":"13:11","end":"14:10","startHours":13.178252844814045,"endHours":14.159292845892036,"quality":"inauspicious"},{"name":"Chala","start":"14:10","end":"15:08","startHours":14.159292845892036,"endHours":15.14033284697003,"quality":"neutral"},{"name":"Labha","start":"15:08","end":"16:07","startHours":15.14033284697003,"endHours":16.121372848048022,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"16:07","end":"18:08","startHours":16.121372848048022,"endHours":18.14033284697003,"quality":"inauspicious"},{"name":"Chala","start":"18:08","end":"20:10","startHours":18.14033284697003,"endHours":20.159292845892036,"quality":"neutral"},{"name":"Labha","start":"20:10","end":"22:11","startHours":20.159292845892036,"endHours":22.178252844814047,"quality":"auspicious"},{"name":"Amṛta","start":"22:11","end":"00:12","startHours":22.178252844814047,"endHours":24.197212843736054,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"02:13","startHours":24.197212843736054,"endHours":26.21617284265806,"quality":"inauspicious"},{"name":"Śubha","start":"02:13","end":"04:14","startHours":26.21617284265806,"endHours":28.235132841580068,"quality":"auspicious"},{"name":"Roga","start":"04:14","end":"06:15","startHours":28.235132841580068,"endHours":30.254092840502075,"quality":"inauspicious"},{"name":"Udveg","start":"06:15","end":"08:16","startHours":30.254092840502075,"endHours":32.27305283942408,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.273052839424082,"endHours":9.273052839424082,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.273052839424082,"endHours":10.273052839424082,"planetary_lord":"Venus"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.273052839424082,"endHours":11.273052839424082,"planetary_lord":"Sun"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.273052839424082,"endHours":12.273052839424082,"planetary_lord":"Mars"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.273052839424082,"endHours":13.273052839424082,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.273052839424082,"endHours":14.273052839424082,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.273052839424082,"endHours":15.273052839424082,"planetary_lord":"Moon"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.273052839424082,"endHours":16.273052839424082,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.273052839424082,"endHours":17.273052839424082,"planetary_lord":"Venus"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.273052839424082,"endHours":18.273052839424082,"planetary_lord":"Sun"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.273052839424082,"endHours":19.273052839424082,"planetary_lord":"Mars"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.273052839424082,"endHours":20.273052839424082,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.273052839424082,"endHours":21.273052839424082,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.273052839424082,"endHours":22.273052839424082,"planetary_lord":"Moon"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.273052839424082,"endHours":23.273052839424082,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.273052839424082,"endHours":24.273052839424082,"planetary_lord":"Venus"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.273052839424082,"endHours":25.273052839424082,"planetary_lord":"Sun"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.273052839424082,"endHours":26.273052839424082,"planetary_lord":"Mars"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.273052839424082,"endHours":27.273052839424082,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.273052839424082,"endHours":28.273052839424082,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.273052839424082,"endHours":29.273052839424082,"planetary_lord":"Moon"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.273052839424082,"endHours":30.273052839424082,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.273052839424082,"endHours":31.273052839424082,"planetary_lord":"Venus"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.273052839424082,"endHours":32.27305283942408,"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.603849207301476,"eotMinutes":-5.452770624163118,"ayanamsa":26.0463}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"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 January 5, 2157 CE · Berlin, Germany · Vidhyamitra","description":"January 5, 2157 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 08:16, sūryāsta 16:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2157-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2157-01-05","sa":"https://sa.vidhyamitra.com/city/berlin/2157-01-05","hi":"https://hi.vidhyamitra.com/city/berlin/2157-01-05","x-default":"https://vidhyamitra.com/city/berlin/2157-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:48:01.649Z","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":"2026-06-02T03:48:01.649Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:48:01.649Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}