{"id":"vidhyamitra:city-day:berlin:2159-11-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-11-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-11-20","date_display":"November 20, 2159 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":2159,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509941.770833,"kali_year":5261,"ahargana":1921476.2708,"sun":{"sidereal_longitude":210.391,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":323.2312,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.8402,"elapsed_within_tithi_degrees":4.8402},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2312,"elapsed_within_degrees":3.2312},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.6222},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2159,"month":11,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509941.770833,"ahargana":1921476.2708,"kali_year":5261,"ayanamsa_lahiri":26.0865,"grahas":{"sun":{"sidereal_longitude":211.372924,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":321.833924,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":4.2863},"mars":{"sidereal_longitude":290.63452400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":201.511524,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":183.97432400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":171.73042399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":186.86872400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":250.9404,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.9404,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509941.770833,"kali_year":5261,"ahargana":1921476.2708,"sun":{"sidereal_longitude":210.391,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":323.2312,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.8402,"elapsed_within_tithi_degrees":4.8402},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2312,"elapsed_within_degrees":3.2312},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.6222},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.286,"elongation":112.84},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.286,"opposition_distance":67.16}},"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":"07:37","sunsetLocal":"16:09","solarNoonLocal":"11:53","dayLengthHours":8.529813640345992,"dayLengthDisplay":"8 Hours 31 Mins 47 Secs","nightLengthDisplay":"15 Hours 28 Mins 13 Secs","moonriseLocal":"13:36","moonsetLocal":"00:53","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:05","startHours":14.010439888423349,"endHours":15.076666593466598,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:45","end":"10:49","startHours":9.745533068250353,"endHours":10.811759773293602,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"12:57","startHours":11.877986478336851,"endHours":12.9442131833801,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:53","startHours":9.60336950757792,"endHours":9.887696628922788,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:12","startHours":7.968488559844939,"endHours":8.195950256920833,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:10","startHours":11.593659356991985,"endHours":12.162313599681717,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:29","end":"07:03","startHours":6.47577117278439,"endHours":7.044425415474123,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:54","end":"07:37","startHours":6.90226185480169,"endHours":7.613079658163856,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:18","end":"13:52","startHours":13.299622085061184,"endHours":13.868276327750918,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:57","end":"16:21","startHours":15.942893298509848,"endHours":16.342893298509846,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:09","end":"16:30","startHours":16.142893298509847,"endHours":16.49830220019093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:54","end":"17:39","startHours":15.892893298509847,"endHours":17.642893298509847,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:10","startHours":23.593659356991985,"endHours":24.162313599681717,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:37","end":"08:41","startHours":7.613079658163856,"endHours":8.679306363207104,"quality":"inauspicious"},{"name":"Udveg","start":"08:41","end":"09:45","startHours":8.679306363207104,"endHours":9.745533068250353,"quality":"inauspicious"},{"name":"Chala","start":"09:45","end":"10:49","startHours":9.745533068250353,"endHours":10.811759773293602,"quality":"neutral"},{"name":"Labha","start":"10:49","end":"11:53","startHours":10.811759773293602,"endHours":11.877986478336851,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"12:57","startHours":11.877986478336851,"endHours":12.9442131833801,"quality":"auspicious"},{"name":"Kāla","start":"12:57","end":"14:01","startHours":12.9442131833801,"endHours":14.010439888423349,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"15:05","startHours":14.010439888423349,"endHours":15.076666593466598,"quality":"auspicious"},{"name":"Roga","start":"15:05","end":"16:09","startHours":15.076666593466598,"endHours":16.142893298509847,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:09","end":"18:05","startHours":16.142893298509847,"endHours":18.076666593466598,"quality":"inauspicious"},{"name":"Śubha","start":"18:05","end":"20:01","startHours":18.076666593466598,"endHours":20.01043988842335,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"21:57","startHours":20.01043988842335,"endHours":21.9442131833801,"quality":"inauspicious"},{"name":"Udveg","start":"21:57","end":"23:53","startHours":21.9442131833801,"endHours":23.87798647833685,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:49","startHours":23.87798647833685,"endHours":25.811759773293602,"quality":"neutral"},{"name":"Labha","start":"01:49","end":"03:45","startHours":25.811759773293602,"endHours":27.745533068250353,"quality":"auspicious"},{"name":"Amṛta","start":"03:45","end":"05:41","startHours":27.745533068250353,"endHours":29.679306363207104,"quality":"auspicious"},{"name":"Kāla","start":"05:41","end":"07:37","startHours":29.679306363207104,"endHours":31.613079658163855,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:37","end":"08:37","startHours":7.613079658163856,"endHours":8.613079658163855,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:37","end":"09:37","startHours":8.613079658163855,"endHours":9.613079658163855,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:37","end":"10:37","startHours":9.613079658163855,"endHours":10.613079658163855,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:37","end":"11:37","startHours":10.613079658163855,"endHours":11.613079658163855,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:37","end":"12:37","startHours":11.613079658163855,"endHours":12.613079658163855,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:37","end":"13:37","startHours":12.613079658163855,"endHours":13.613079658163855,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:37","end":"14:37","startHours":13.613079658163855,"endHours":14.613079658163855,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:37","end":"15:37","startHours":14.613079658163855,"endHours":15.613079658163855,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:37","end":"16:37","startHours":15.613079658163855,"endHours":16.613079658163855,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:37","end":"17:37","startHours":16.613079658163855,"endHours":17.613079658163855,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:37","end":"18:37","startHours":17.613079658163855,"endHours":18.613079658163855,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:37","end":"19:37","startHours":18.613079658163855,"endHours":19.613079658163855,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:37","end":"20:37","startHours":19.613079658163855,"endHours":20.613079658163855,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:37","end":"21:37","startHours":20.613079658163855,"endHours":21.613079658163855,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:37","end":"22:37","startHours":21.613079658163855,"endHours":22.613079658163855,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:37","end":"23:37","startHours":22.613079658163855,"endHours":23.613079658163855,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:37","end":"00:37","startHours":23.613079658163855,"endHours":24.613079658163855,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:37","end":"01:37","startHours":24.613079658163855,"endHours":25.613079658163855,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:37","end":"02:37","startHours":25.613079658163855,"endHours":26.613079658163855,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:37","end":"03:37","startHours":26.613079658163855,"endHours":27.613079658163855,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:37","end":"04:37","startHours":27.613079658163855,"endHours":28.613079658163855,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:37","end":"05:37","startHours":28.613079658163855,"endHours":29.613079658163855,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:37","end":"06:37","startHours":29.613079658163855,"endHours":30.613079658163855,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:37","end":"07:37","startHours":30.613079658163855,"endHours":31.613079658163855,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.59033975634347,"eotMinutes":13.700811299788931,"ayanamsa":26.0865}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Śarad (Autumn)","display_summary":"Kārtika Śukla Daśamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 November 20, 2159 CE · Berlin, Germany · Vidhyamitra","description":"November 20, 2159 CE for Berlin, Germany: Śukla Daśamī, sūryodaya 07:37, sūryāsta 16:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-11-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-11-20","sa":"https://sa.vidhyamitra.com/city/berlin/2159-11-20","hi":"https://hi.vidhyamitra.com/city/berlin/2159-11-20","x-default":"https://vidhyamitra.com/city/berlin/2159-11-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:56:28.183Z","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":"2026-06-02T04:56:28.183Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:56:28.183Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}