{"id":"vidhyamitra:city-day:berlin:2152-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2152-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2152-10-20","date_display":"October 20, 2152 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":2152,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507354.770833,"kali_year":5254,"ahargana":1918889.2708,"sun":{"sidereal_longitude":180.0504,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.6803,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.6299,"elapsed_within_tithi_degrees":4.6299},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.6803,"elapsed_within_degrees":10.0136},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.7307},"karana":{"half_tithi_index":42,"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":2152,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507354.770833,"ahargana":1918889.2708,"kali_year":5254,"ayanamsa_lahiri":25.9875,"grahas":{"sun":{"sidereal_longitude":181.14846699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":74.26626699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":3.3775},"mars":{"sidereal_longitude":103.39876700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":177.97786699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":315.31356700000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":221.75856699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":101.81366700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":28.0121,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.0121,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"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":2152,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507354.770833,"kali_year":5254,"ahargana":1918889.2708,"sun":{"sidereal_longitude":180.0504,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.6803,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.6299,"elapsed_within_tithi_degrees":4.6299},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":76.6803,"elapsed_within_degrees":10.0136},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.7307},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.378,"elongation":103.37},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.378,"opposition_distance":76.63}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":1.441,"elongation":0.863}]},"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":"06:41","sunsetLocal":"17:01","solarNoonLocal":"11:51","dayLengthHours":10.334568983620063,"dayLengthDisplay":"10 Hours 20 Mins 04 Secs","nightLengthDisplay":"13 Hours 39 Mins 56 Secs","moonriseLocal":"20:23","moonsetLocal":"13:03","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"11:51","startHours":10.552897689643638,"endHours":11.844718812596145,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:26","end":"15:43","startHours":14.428361058501162,"endHours":15.72018218145367,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:58","end":"09:16","startHours":7.969255443738623,"endHours":9.26107656669113,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:26","startHours":9.088833750297463,"endHours":9.433319383084799,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:23","startHours":7.108041361770284,"endHours":7.383629868000153,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:11","startHours":11.500233179808811,"endHours":12.189204445383483,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"05:59","startHours":5.2994917896367735,"endHours":5.988463055211444,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:41","startHours":5.816220238817777,"endHours":6.677434320786115,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:15","startHours":13.567146976532822,"endHours":14.256118242107492,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:49","end":"17:13","startHours":16.81200330440618,"endHours":17.212003304406178,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:01","end":"17:27","startHours":17.01200330440618,"endHours":17.44261034539035,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:46","end":"18:31","startHours":16.76200330440618,"endHours":18.51200330440618,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:11","startHours":23.500233179808813,"endHours":24.189204445383485,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:41","end":"07:58","startHours":6.677434320786115,"endHours":7.969255443738623,"quality":"neutral"},{"name":"Labha","start":"07:58","end":"09:16","startHours":7.969255443738623,"endHours":9.26107656669113,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:33","startHours":9.26107656669113,"endHours":10.552897689643638,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"11:51","startHours":10.552897689643638,"endHours":11.844718812596145,"quality":"inauspicious"},{"name":"Śubha","start":"11:51","end":"13:08","startHours":11.844718812596145,"endHours":13.136539935548655,"quality":"auspicious"},{"name":"Roga","start":"13:08","end":"14:26","startHours":13.136539935548655,"endHours":14.428361058501162,"quality":"inauspicious"},{"name":"Udveg","start":"14:26","end":"15:43","startHours":14.428361058501162,"endHours":15.72018218145367,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:01","startHours":15.72018218145367,"endHours":17.01200330440618,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:01","end":"18:43","startHours":17.01200330440618,"endHours":18.72018218145367,"quality":"inauspicious"},{"name":"Udveg","start":"18:43","end":"20:26","startHours":18.72018218145367,"endHours":20.428361058501164,"quality":"inauspicious"},{"name":"Chala","start":"20:26","end":"22:08","startHours":20.428361058501164,"endHours":22.136539935548655,"quality":"neutral"},{"name":"Labha","start":"22:08","end":"23:51","startHours":22.136539935548655,"endHours":23.84471881259615,"quality":"auspicious"},{"name":"Amṛta","start":"23:51","end":"01:33","startHours":23.84471881259615,"endHours":25.55289768964364,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"03:16","startHours":25.55289768964364,"endHours":27.26107656669113,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:58","startHours":27.26107656669113,"endHours":28.969255443738625,"quality":"auspicious"},{"name":"Roga","start":"04:58","end":"06:41","startHours":28.969255443738625,"endHours":30.677434320786116,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.677434320786115,"endHours":7.677434320786115,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.677434320786115,"endHours":8.677434320786116,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.677434320786116,"endHours":9.677434320786116,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.677434320786116,"endHours":10.677434320786116,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.677434320786116,"endHours":11.677434320786116,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.677434320786116,"endHours":12.677434320786116,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.677434320786116,"endHours":13.677434320786116,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.677434320786116,"endHours":14.677434320786116,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.677434320786116,"endHours":15.677434320786116,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.677434320786116,"endHours":16.677434320786116,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.677434320786116,"endHours":17.677434320786116,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.677434320786116,"endHours":18.677434320786116,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.677434320786116,"endHours":19.677434320786116,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.677434320786116,"endHours":20.677434320786116,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.677434320786116,"endHours":21.677434320786116,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.677434320786116,"endHours":22.677434320786116,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.677434320786116,"endHours":23.677434320786116,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.677434320786116,"endHours":24.677434320786116,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.677434320786116,"endHours":25.677434320786116,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.677434320786116,"endHours":26.677434320786116,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.677434320786116,"endHours":27.677434320786116,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.677434320786116,"endHours":28.677434320786116,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.677434320786116,"endHours":29.677434320786116,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.677434320786116,"endHours":30.677434320786116,"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":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.451737359272194,"eotMinutes":15.696871244231174,"ayanamsa":25.9875}},"calendars":{"vikram_samvat":2209,"vikram_samvatsara":"Krodhana","saka_samvat":2074,"saka_samvatsara":"Paridhāvi","bengali_samvat":1559,"malayalam_era":1328,"nanakshahi_year":683,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 2209 Krodhana · Śaka 2074 Paridhāvi"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5}],"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":[]},"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 October 20, 2152 CE · Berlin, Germany · Vidhyamitra","description":"October 20, 2152 CE for Berlin, Germany: Kṛṣṇa Saptamī, sūryodaya 06:41, sūryāsta 17:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2152-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2152-10-20","sa":"https://sa.vidhyamitra.com/city/berlin/2152-10-20","hi":"https://hi.vidhyamitra.com/city/berlin/2152-10-20","x-default":"https://vidhyamitra.com/city/berlin/2152-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:46:12.219Z","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":"2026-06-01T23:46:12.219Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:46:12.219Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}