{"id":"vidhyamitra:city-day:berlin:2111-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2111-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2111-01-01","date_display":"January 1, 2111 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":2111,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492086.770833,"kali_year":5212,"ahargana":1903621.2708,"sun":{"sidereal_longitude":254.0561,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":141.3783,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":247.3221,"elapsed_within_tithi_degrees":7.3221},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.3783,"elapsed_within_degrees":8.045},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.4344},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2111,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492086.770833,"ahargana":1903621.2708,"kali_year":5212,"ayanamsa_lahiri":25.4036,"grahas":{"sun":{"sidereal_longitude":254.57071700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":137.81471699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":1.857},"mars":{"sidereal_longitude":305.82661699999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":235.41981699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":150.40801699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":276.493117,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":293.4673170000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":116.9842,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":296.9842,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2111,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492086.770833,"kali_year":5212,"ahargana":1903621.2708,"sun":{"sidereal_longitude":254.0561,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":141.3783,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":247.3221,"elapsed_within_tithi_degrees":7.3221},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.3783,"elapsed_within_degrees":8.045},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.4344},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.857,"elongation":112.678},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.857,"opposition_distance":67.322}},"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":"08:18","sunsetLocal":"16:02","solarNoonLocal":"12:10","dayLengthHours":7.73913552756065,"dayLengthDisplay":"7 Hours 44 Mins 21 Secs","nightLengthDisplay":"16 Hours 15 Mins 39 Secs","moonriseLocal":"21:44","moonsetLocal":"11:02","rahuKala":{"name":"Rāhu Kāla","start":"13:08","end":"14:06","startHours":13.135478246335015,"endHours":14.102870187280097,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:18","end":"09:16","startHours":8.298518541609608,"endHours":9.26591048255469,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:14","end":"11:12","startHours":10.23330242349977,"endHours":11.200694364444853,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.10431683137376,"endHours":10.362288015625783,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:50","startHours":8.620982521924635,"endHours":8.827359469326252,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:26","startHours":11.910115121137913,"endHours":12.426057489641956,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:16","end":"07:47","startHours":7.266633804601522,"endHours":7.782576173105565,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:18","startHours":7.653590580979554,"endHours":8.298518541609608,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"13:58","startHours":13.457942226650042,"endHours":13.973884595154086,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:50","end":"16:14","startHours":15.83765406917026,"endHours":16.237654069170258,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:02","end":"16:22","startHours":16.03765406917026,"endHours":16.360118049485287,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:47","end":"17:32","startHours":15.787654069170259,"endHours":17.53765406917026,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:26","startHours":23.910115121137913,"endHours":24.426057489641956,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:18","end":"09:16","startHours":8.298518541609608,"endHours":9.26591048255469,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:14","startHours":9.26591048255469,"endHours":10.23330242349977,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:12","startHours":10.23330242349977,"endHours":11.200694364444853,"quality":"inauspicious"},{"name":"Chala","start":"11:12","end":"12:10","startHours":11.200694364444853,"endHours":12.168086305389934,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:08","startHours":12.168086305389934,"endHours":13.135478246335015,"quality":"auspicious"},{"name":"Amṛta","start":"13:08","end":"14:06","startHours":13.135478246335015,"endHours":14.102870187280097,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:04","startHours":14.102870187280097,"endHours":15.070262128225178,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:02","startHours":15.070262128225178,"endHours":16.03765406917026,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:02","end":"18:04","startHours":16.03765406917026,"endHours":18.070262128225178,"quality":"auspicious"},{"name":"Kāla","start":"18:04","end":"20:06","startHours":18.070262128225178,"endHours":20.102870187280097,"quality":"inauspicious"},{"name":"Śubha","start":"20:06","end":"22:08","startHours":20.102870187280097,"endHours":22.135478246335015,"quality":"auspicious"},{"name":"Roga","start":"22:08","end":"00:10","startHours":22.135478246335015,"endHours":24.168086305389934,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"02:12","startHours":24.168086305389934,"endHours":26.200694364444853,"quality":"inauspicious"},{"name":"Chala","start":"02:12","end":"04:14","startHours":26.200694364444853,"endHours":28.233302423499772,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"06:16","startHours":28.233302423499772,"endHours":30.26591048255469,"quality":"auspicious"},{"name":"Amṛta","start":"06:16","end":"08:18","startHours":30.26591048255469,"endHours":32.29851854160961,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:18","end":"09:18","startHours":8.298518541609608,"endHours":9.298518541609608,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:18","end":"10:18","startHours":9.298518541609608,"endHours":10.298518541609608,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:18","end":"11:18","startHours":10.298518541609608,"endHours":11.298518541609608,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:18","end":"12:18","startHours":11.298518541609608,"endHours":12.298518541609608,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:18","end":"13:18","startHours":12.298518541609608,"endHours":13.298518541609608,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:18","end":"14:18","startHours":13.298518541609608,"endHours":14.298518541609608,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:18","end":"15:18","startHours":14.298518541609608,"endHours":15.298518541609608,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:18","end":"16:18","startHours":15.298518541609608,"endHours":16.29851854160961,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:18","end":"17:18","startHours":16.29851854160961,"endHours":17.29851854160961,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:18","end":"18:18","startHours":17.29851854160961,"endHours":18.29851854160961,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:18","end":"19:18","startHours":18.29851854160961,"endHours":19.29851854160961,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:18","end":"20:18","startHours":19.29851854160961,"endHours":20.29851854160961,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:18","end":"21:18","startHours":20.29851854160961,"endHours":21.29851854160961,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:18","end":"22:18","startHours":21.29851854160961,"endHours":22.29851854160961,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:18","end":"23:18","startHours":22.29851854160961,"endHours":23.29851854160961,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:18","end":"00:18","startHours":23.29851854160961,"endHours":24.29851854160961,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:18","end":"01:18","startHours":24.29851854160961,"endHours":25.29851854160961,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:18","end":"02:18","startHours":25.29851854160961,"endHours":26.29851854160961,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:18","end":"03:18","startHours":26.29851854160961,"endHours":27.29851854160961,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:18","end":"04:18","startHours":27.29851854160961,"endHours":28.29851854160961,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:18","end":"05:18","startHours":28.29851854160961,"endHours":29.29851854160961,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:18","end":"06:18","startHours":29.29851854160961,"endHours":30.29851854160961,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:18","end":"07:18","startHours":30.29851854160961,"endHours":31.29851854160961,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:18","end":"08:18","startHours":31.29851854160961,"endHours":32.29851854160961,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","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":-23.061623202509345,"eotMinutes":-3.705178323396069,"ayanamsa":25.4036}},"calendars":{"vikram_samvat":2168,"vikram_samvatsara":"Tāraṇa","saka_samvat":2033,"saka_samvatsara":"Prajāpati","bengali_samvat":1518,"malayalam_era":1287,"nanakshahi_year":642,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Ṣaṣṭhī · Vikram 2168 Tāraṇa · Śaka 2033 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 1, 2111 CE · Berlin, Germany · Vidhyamitra","description":"January 1, 2111 CE for Berlin, Germany: Kṛṣṇa Ṣaṣṭhī, sūryodaya 08:18, sūryāsta 16:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2111-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2111-01-01","sa":"https://sa.vidhyamitra.com/city/berlin/2111-01-01","hi":"https://hi.vidhyamitra.com/city/berlin/2111-01-01","x-default":"https://vidhyamitra.com/city/berlin/2111-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:39:42.877Z","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":"2026-06-01T20:39:42.877Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:39:42.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}