{"id":"vidhyamitra:city-day:berlin:2109-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2109-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-10-01","date_display":"October 1, 2109 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":2109,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491629.770833,"kali_year":5211,"ahargana":1903164.2708,"sun":{"sidereal_longitude":161.3988,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":244.7109,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.3122,"elapsed_within_tithi_degrees":11.3122},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.7109,"elapsed_within_degrees":4.7109},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.1097},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2109,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491629.770833,"ahargana":1903164.2708,"kali_year":5211,"ayanamsa_lahiri":25.3861,"grahas":{"sun":{"sidereal_longitude":162.410577,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":248.558177,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":4.3752},"mars":{"sidereal_longitude":123.249077,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":152.60017700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":112.67247700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":207.46867700000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":277.699477,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":141.1983,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":321.1983,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":2109,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491629.770833,"kali_year":5211,"ahargana":1903164.2708,"sun":{"sidereal_longitude":161.3988,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":244.7109,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.3122,"elapsed_within_tithi_degrees":11.3122},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.7109,"elapsed_within_degrees":4.7109},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.1097},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.375,"elongation":83.312},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.375,"opposition_distance":96.688}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":1.308,"elongation":2.915}]},"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":"06:06","sunsetLocal":"17:45","solarNoonLocal":"11:55","dayLengthHours":11.644311352322767,"dayLengthDisplay":"11 Hours 38 Mins 40 Secs","nightLengthDisplay":"12 Hours 21 Mins 20 Secs","moonriseLocal":"13:52","moonsetLocal":"21:28","rahuKala":{"name":"Rāhu Kāla","start":"14:50","end":"16:17","startHours":14.831281768304285,"endHours":16.28682068734463,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:01","end":"10:28","startHours":9.009126092142901,"endHours":10.464665011183246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:23","startHours":11.920203930223593,"endHours":13.37574284926394,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:12","startHours":8.815054236270855,"endHours":9.203197948014948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:54","startHours":6.583227893742325,"endHours":6.893742863137599,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:19","startHours":11.5320602184795,"endHours":12.308347641967686,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:19","startHours":4.545473407085841,"endHours":5.321760830574025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:06","startHours":5.12768897470198,"endHours":6.09804825406221,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:38","startHours":13.860922488944055,"endHours":14.63720991243224,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.542359606384977,"endHours":17.942359606384976,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.742359606384976,"endHours":18.227539246065092,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.492359606384976,"endHours":19.242359606384976,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:19","startHours":23.5320602184795,"endHours":24.308347641967686,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:06","end":"07:33","startHours":6.09804825406221,"endHours":7.553587173102556,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:01","startHours":7.553587173102556,"endHours":9.009126092142901,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:28","startHours":9.009126092142901,"endHours":10.464665011183246,"quality":"neutral"},{"name":"Labha","start":"10:28","end":"11:55","startHours":10.464665011183246,"endHours":11.920203930223593,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:23","startHours":11.920203930223593,"endHours":13.37574284926394,"quality":"auspicious"},{"name":"Kāla","start":"13:23","end":"14:50","startHours":13.37574284926394,"endHours":14.831281768304285,"quality":"inauspicious"},{"name":"Śubha","start":"14:50","end":"16:17","startHours":14.831281768304285,"endHours":16.28682068734463,"quality":"auspicious"},{"name":"Roga","start":"16:17","end":"17:45","startHours":16.28682068734463,"endHours":17.742359606384976,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:17","startHours":17.742359606384976,"endHours":19.28682068734463,"quality":"inauspicious"},{"name":"Śubha","start":"19:17","end":"20:50","startHours":19.28682068734463,"endHours":20.831281768304287,"quality":"auspicious"},{"name":"Roga","start":"20:50","end":"22:23","startHours":20.831281768304287,"endHours":22.37574284926394,"quality":"inauspicious"},{"name":"Udveg","start":"22:23","end":"23:55","startHours":22.37574284926394,"endHours":23.920203930223593,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:28","startHours":23.920203930223593,"endHours":25.464665011183246,"quality":"neutral"},{"name":"Labha","start":"01:28","end":"03:01","startHours":25.464665011183246,"endHours":27.0091260921429,"quality":"auspicious"},{"name":"Amṛta","start":"03:01","end":"04:33","startHours":27.0091260921429,"endHours":28.553587173102557,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"06:06","startHours":28.553587173102557,"endHours":30.09804825406221,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.09804825406221,"endHours":7.09804825406221,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.09804825406221,"endHours":8.09804825406221,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.09804825406221,"endHours":9.09804825406221,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.09804825406221,"endHours":10.09804825406221,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.09804825406221,"endHours":11.09804825406221,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.09804825406221,"endHours":12.09804825406221,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.09804825406221,"endHours":13.09804825406221,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.09804825406221,"endHours":14.09804825406221,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.09804825406221,"endHours":15.09804825406221,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.09804825406221,"endHours":16.09804825406221,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.09804825406221,"endHours":17.09804825406221,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.09804825406221,"endHours":18.09804825406221,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.09804825406221,"endHours":19.09804825406221,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.09804825406221,"endHours":20.09804825406221,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.09804825406221,"endHours":21.09804825406221,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.09804825406221,"endHours":22.09804825406221,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.09804825406221,"endHours":23.09804825406221,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.09804825406221,"endHours":24.09804825406221,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.09804825406221,"endHours":25.09804825406221,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.09804825406221,"endHours":26.09804825406221,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.09804825406221,"endHours":27.09804825406221,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.09804825406221,"endHours":28.09804825406221,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.09804825406221,"endHours":29.09804825406221,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.09804825406221,"endHours":30.09804825406221,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.0929320775725495,"eotMinutes":11.167764186584405,"ayanamsa":25.3861}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Saptamī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"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 October 1, 2109 CE · Berlin, Germany · Vidhyamitra","description":"October 1, 2109 CE for Berlin, Germany: Śukla Saptamī, sūryodaya 06:06, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2109-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2109-10-01","sa":"https://sa.vidhyamitra.com/city/berlin/2109-10-01","hi":"https://hi.vidhyamitra.com/city/berlin/2109-10-01","x-default":"https://vidhyamitra.com/city/berlin/2109-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:13:37.884Z","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":"2026-06-01T13:13:37.884Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:13:37.884Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}