{"id":"vidhyamitra:city-day:berlin:2041-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2041-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-11-01","date_display":"November 1, 2041 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":2041,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466824.770833,"kali_year":5143,"ahargana":1878359.2708,"sun":{"sidereal_longitude":193.7676,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":280.0135,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.246,"elapsed_within_tithi_degrees":2.246},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.0135,"elapsed_within_degrees":0.0135},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.7811},"karana":{"half_tithi_index":14,"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":2041,"month":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466824.770833,"ahargana":1878359.2708,"kali_year":5143,"ayanamsa_lahiri":24.4374,"grahas":{"sun":{"sidereal_longitude":194.55351100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":278.62431100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-4.4794},"mars":{"sidereal_longitude":106.881711,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":180.22291100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":196.92171099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":178.97781099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":183.50821100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":15.4865,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.4865,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2041,"month":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466824.770833,"kali_year":5143,"ahargana":1878359.2708,"sun":{"sidereal_longitude":193.7676,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":280.0135,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.246,"elapsed_within_tithi_degrees":2.246},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.0135,"elapsed_within_degrees":0.0135},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.7811},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.479,"elongation":86.246},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.479,"opposition_distance":93.754}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.191},{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":0.412,"opposition_distance":0.442}]},"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":"07:03","sunsetLocal":"16:37","solarNoonLocal":"11:50","dayLengthHours":9.572653846764636,"dayLengthDisplay":"9 Hours 34 Mins 22 Secs","nightLengthDisplay":"14 Hours 25 Mins 38 Secs","moonriseLocal":"13:11","moonsetLocal":"21:41","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"11:50","startHours":10.635714387199535,"endHours":11.832296118045114,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:14","end":"15:25","startHours":14.225459579736274,"endHours":15.422041310581854,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:15","end":"09:26","startHours":8.242550925508377,"endHours":9.439132656353957,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:36","startHours":9.279588425574545,"endHours":9.598676887133367,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:42","startHours":7.444829771611324,"endHours":7.70010054085838,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:09","startHours":11.513207656486294,"endHours":12.151384579603938,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:24","startHours":5.769615348427513,"endHours":6.407792271545155,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:03","startHours":6.248248040765745,"endHours":7.045969194662797,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:26","end":"14:04","startHours":13.427738425839221,"endHours":14.065915348956864,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:25","end":"16:49","startHours":16.418623041427434,"endHours":16.818623041427433,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:37","end":"17:01","startHours":16.618623041427433,"endHours":17.01748361837596,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:22","end":"18:07","startHours":16.368623041427433,"endHours":18.118623041427433,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:09","startHours":23.513207656486294,"endHours":24.151384579603935,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:03","end":"08:15","startHours":7.045969194662797,"endHours":8.242550925508377,"quality":"neutral"},{"name":"Labha","start":"08:15","end":"09:26","startHours":8.242550925508377,"endHours":9.439132656353957,"quality":"auspicious"},{"name":"Amṛta","start":"09:26","end":"10:38","startHours":9.439132656353957,"endHours":10.635714387199535,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"11:50","startHours":10.635714387199535,"endHours":11.832296118045114,"quality":"inauspicious"},{"name":"Śubha","start":"11:50","end":"13:02","startHours":11.832296118045114,"endHours":13.028877848890694,"quality":"auspicious"},{"name":"Roga","start":"13:02","end":"14:14","startHours":13.028877848890694,"endHours":14.225459579736274,"quality":"inauspicious"},{"name":"Udveg","start":"14:14","end":"15:25","startHours":14.225459579736274,"endHours":15.422041310581854,"quality":"inauspicious"},{"name":"Chala","start":"15:25","end":"16:37","startHours":15.422041310581854,"endHours":16.618623041427433,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:37","end":"18:25","startHours":16.618623041427433,"endHours":18.422041310581854,"quality":"inauspicious"},{"name":"Udveg","start":"18:25","end":"20:14","startHours":18.422041310581854,"endHours":20.225459579736274,"quality":"inauspicious"},{"name":"Chala","start":"20:14","end":"22:02","startHours":20.225459579736274,"endHours":22.028877848890694,"quality":"neutral"},{"name":"Labha","start":"22:02","end":"23:50","startHours":22.028877848890694,"endHours":23.832296118045114,"quality":"auspicious"},{"name":"Amṛta","start":"23:50","end":"01:38","startHours":23.832296118045114,"endHours":25.635714387199535,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:26","startHours":25.635714387199535,"endHours":27.439132656353955,"quality":"inauspicious"},{"name":"Śubha","start":"03:26","end":"05:15","startHours":27.439132656353955,"endHours":29.242550925508375,"quality":"auspicious"},{"name":"Roga","start":"05:15","end":"07:03","startHours":29.242550925508375,"endHours":31.045969194662796,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.045969194662797,"endHours":8.045969194662797,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.045969194662797,"endHours":9.045969194662797,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.045969194662797,"endHours":10.045969194662797,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.045969194662797,"endHours":11.045969194662797,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.045969194662797,"endHours":12.045969194662797,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.045969194662797,"endHours":13.045969194662797,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.045969194662797,"endHours":14.045969194662797,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.045969194662797,"endHours":15.045969194662797,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.045969194662797,"endHours":16.045969194662796,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.045969194662796,"endHours":17.045969194662796,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.045969194662796,"endHours":18.045969194662796,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.045969194662796,"endHours":19.045969194662796,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.045969194662796,"endHours":20.045969194662796,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.045969194662796,"endHours":21.045969194662796,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.045969194662796,"endHours":22.045969194662796,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.045969194662796,"endHours":23.045969194662796,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.045969194662796,"endHours":24.045969194662796,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.045969194662796,"endHours":25.045969194662796,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.045969194662796,"endHours":26.045969194662796,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.045969194662796,"endHours":27.045969194662796,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.045969194662796,"endHours":28.045969194662796,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.045969194662796,"endHours":29.045969194662796,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.045969194662796,"endHours":30.045969194662796,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.045969194662796,"endHours":31.045969194662796,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-14.49243137147107,"eotMinutes":16.442232917293087,"ayanamsa":24.4374}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Aṣṭamī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 November 1, 2041 CE · Berlin, Germany · Vidhyamitra","description":"November 1, 2041 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 07:03, sūryāsta 16:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2041-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2041-11-01","sa":"https://sa.vidhyamitra.com/city/berlin/2041-11-01","hi":"https://hi.vidhyamitra.com/city/berlin/2041-11-01","x-default":"https://vidhyamitra.com/city/berlin/2041-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:02:45.167Z","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":"2026-05-15T17:02:45.167Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:02:45.167Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}