{"id":"vidhyamitra:city-day:berlin:2091-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2091-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-01-05","date_display":"January 5, 2091 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":2091,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484786.770833,"kali_year":5192,"ahargana":1896321.2708,"sun":{"sidereal_longitude":259.3768,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.3083,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.9315,"elapsed_within_tithi_degrees":2.9315},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.3083,"elapsed_within_degrees":3.6416},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.6851},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2091,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484786.770833,"ahargana":1896321.2708,"kali_year":5192,"ayanamsa_lahiri":25.1244,"grahas":{"sun":{"sidereal_longitude":259.79792999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":71.96553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-4.3135},"mars":{"sidereal_longitude":146.95253000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.55912999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":248.28882999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":212.82152999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":54.288130000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":143.7733,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.7733,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2091,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484786.770833,"kali_year":5192,"ahargana":1896321.2708,"sun":{"sidereal_longitude":259.3768,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.3083,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.9315,"elapsed_within_tithi_degrees":2.9315},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.3083,"elapsed_within_degrees":3.6416},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.6851},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.314,"elongation":170.932},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.314,"opposition_distance":9.068}},"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":7.848879599005688,"dayLengthDisplay":"7 Hours 50 Mins 56 Secs","nightLengthDisplay":"16 Hours 09 Mins 04 Secs","moonriseLocal":"15:19","moonsetLocal":"08:02","rahuKala":{"name":"Rāhu Kāla","start":"11:13","end":"12:12","startHours":11.216102893860342,"endHours":12.197212843736052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:10","end":"15:08","startHours":14.159432743487475,"endHours":15.140542693363185,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:15","end":"10:14","startHours":9.253882994108919,"endHours":10.23499294398463,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.104178284001202,"endHours":10.365807603968058,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:49","startHours":8.599809694191778,"endHours":8.809113150165263,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:28","startHours":11.935583523769196,"endHours":12.458842163702908,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:14","end":"07:45","startHours":7.226255764365783,"endHours":7.749514404299496,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:37","end":"08:16","startHours":7.618699744316068,"endHours":8.272773044233208,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:02","startHours":13.505359443570335,"endHours":14.028618083504048,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:55","end":"16:19","startHours":15.921652643238897,"endHours":16.321652643238895,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:07","end":"16:27","startHours":16.121652643238896,"endHours":16.448689293197468,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:52","end":"17:37","startHours":15.871652643238896,"endHours":17.621652643238896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:28","startHours":23.935583523769196,"endHours":24.45884216370291,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:16","end":"09:15","startHours":8.272773044233208,"endHours":9.253882994108919,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:14","startHours":9.253882994108919,"endHours":10.23499294398463,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:13","startHours":10.23499294398463,"endHours":11.216102893860342,"quality":"auspicious"},{"name":"Kāla","start":"11:13","end":"12:12","startHours":11.216102893860342,"endHours":12.197212843736052,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:11","startHours":12.197212843736052,"endHours":13.178322793611763,"quality":"auspicious"},{"name":"Roga","start":"13:11","end":"14:10","startHours":13.178322793611763,"endHours":14.159432743487475,"quality":"inauspicious"},{"name":"Udveg","start":"14:10","end":"15:08","startHours":14.159432743487475,"endHours":15.140542693363185,"quality":"inauspicious"},{"name":"Chala","start":"15:08","end":"16:07","startHours":15.140542693363185,"endHours":16.121652643238896,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:07","end":"18:08","startHours":16.121652643238896,"endHours":18.140542693363184,"quality":"inauspicious"},{"name":"Udveg","start":"18:08","end":"20:10","startHours":18.140542693363184,"endHours":20.159432743487475,"quality":"inauspicious"},{"name":"Chala","start":"20:10","end":"22:11","startHours":20.159432743487475,"endHours":22.178322793611763,"quality":"neutral"},{"name":"Labha","start":"22:11","end":"00:12","startHours":22.178322793611763,"endHours":24.197212843736054,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"02:13","startHours":24.197212843736054,"endHours":26.21610289386034,"quality":"auspicious"},{"name":"Kāla","start":"02:13","end":"04:14","startHours":26.21610289386034,"endHours":28.23499294398463,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"06:15","startHours":28.23499294398463,"endHours":30.25388299410892,"quality":"auspicious"},{"name":"Roga","start":"06:15","end":"08:16","startHours":30.25388299410892,"endHours":32.272773044233205,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.272773044233208,"endHours":9.272773044233208,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.272773044233208,"endHours":10.272773044233208,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.272773044233208,"endHours":11.272773044233208,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.272773044233208,"endHours":12.272773044233208,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.272773044233208,"endHours":13.272773044233208,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.272773044233208,"endHours":14.272773044233208,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.272773044233208,"endHours":15.272773044233208,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.272773044233208,"endHours":16.272773044233208,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.272773044233208,"endHours":17.272773044233208,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.272773044233208,"endHours":18.272773044233208,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.272773044233208,"endHours":19.272773044233208,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.272773044233208,"endHours":20.272773044233208,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.272773044233208,"endHours":21.272773044233208,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.272773044233208,"endHours":22.272773044233208,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.272773044233208,"endHours":23.272773044233208,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.272773044233208,"endHours":24.272773044233208,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.272773044233208,"endHours":25.272773044233208,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.272773044233208,"endHours":26.272773044233208,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.272773044233208,"endHours":27.272773044233208,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.272773044233208,"endHours":28.272773044233208,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.272773044233208,"endHours":29.272773044233208,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.272773044233208,"endHours":30.272773044233208,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.272773044233208,"endHours":31.272773044233208,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.272773044233208,"endHours":32.272773044233205,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","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":-22.601484932543517,"eotMinutes":-5.452770624163118,"ayanamsa":25.1244}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Pūrṇimā · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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, 2091 CE · Berlin, Germany · Vidhyamitra","description":"January 5, 2091 CE for Berlin, Germany: Śukla Pūrṇimā, sūryodaya 08:16, sūryāsta 16:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2091-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2091-01-05","sa":"https://sa.vidhyamitra.com/city/berlin/2091-01-05","hi":"https://hi.vidhyamitra.com/city/berlin/2091-01-05","x-default":"https://vidhyamitra.com/city/berlin/2091-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:27:26.935Z","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":"2026-06-01T02:27:26.935Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:27:26.935Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}