{"id":"vidhyamitra:city-day:berlin:2112-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2112-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-01-01","date_display":"January 1, 2112 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":2112,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492451.770833,"kali_year":5213,"ahargana":1903986.2708,"sun":{"sidereal_longitude":253.7901,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":270.1446,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.3545,"elapsed_within_tithi_degrees":4.3545},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1446,"elapsed_within_degrees":3.4779},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9347},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2112,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492451.770833,"ahargana":1903986.2708,"kali_year":5213,"ayanamsa_lahiri":25.4175,"grahas":{"sun":{"sidereal_longitude":254.30997100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":272.962771,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.5868},"mars":{"sidereal_longitude":192.151571,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":245.70237099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":178.02327100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":220.935071,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":304.24277099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":97.6447,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.6447,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"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":2112,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492451.770833,"kali_year":5213,"ahargana":1903986.2708,"sun":{"sidereal_longitude":253.7901,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":270.1446,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.3545,"elapsed_within_tithi_degrees":4.3545},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1446,"elapsed_within_degrees":3.4779},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9347},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.587,"elongation":16.354},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.587,"opposition_distance":163.646}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.653,"opposition_distance":1.452}]},"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":7.734745891586188,"dayLengthDisplay":"7 Hours 44 Mins 05 Secs","nightLengthDisplay":"16 Hours 15 Mins 55 Secs","moonriseLocal":"09:17","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"11:12","end":"12:10","startHours":11.201243068941661,"endHours":12.168086305389934,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:04","startHours":14.101772778286481,"endHours":15.068616014734754,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:14","startHours":9.267556596045113,"endHours":10.234399832493386,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.10548740096695,"endHours":10.363312264019823,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:50","startHours":8.622994438412931,"endHours":8.82925432885523,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:26","startHours":11.910261442337061,"endHours":12.425911168442807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:16","end":"07:47","startHours":7.269413907385347,"endHours":7.785063633491093,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:18","startHours":7.656151201964657,"endHours":8.30071335959684,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"13:58","startHours":13.457210620654298,"endHours":13.972860346760044,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:50","end":"16:14","startHours":15.835459251183028,"endHours":16.235459251183027,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:02","end":"16:21","startHours":16.035459251183028,"endHours":16.357740329999118,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:47","end":"17:32","startHours":15.785459251183028,"endHours":17.535459251183028,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:26","startHours":23.910261442337063,"endHours":24.425911168442806,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:18","end":"09:16","startHours":8.30071335959684,"endHours":9.267556596045113,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:14","startHours":9.267556596045113,"endHours":10.234399832493386,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:12","startHours":10.234399832493386,"endHours":11.201243068941661,"quality":"auspicious"},{"name":"Kāla","start":"11:12","end":"12:10","startHours":11.201243068941661,"endHours":12.168086305389934,"quality":"inauspicious"},{"name":"Śubha","start":"12:10","end":"13:08","startHours":12.168086305389934,"endHours":13.134929541838208,"quality":"auspicious"},{"name":"Roga","start":"13:08","end":"14:06","startHours":13.134929541838208,"endHours":14.101772778286481,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:04","startHours":14.101772778286481,"endHours":15.068616014734754,"quality":"inauspicious"},{"name":"Chala","start":"15:04","end":"16:02","startHours":15.068616014734754,"endHours":16.035459251183028,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:02","end":"18:04","startHours":16.035459251183028,"endHours":18.068616014734754,"quality":"inauspicious"},{"name":"Udveg","start":"18:04","end":"20:06","startHours":18.068616014734754,"endHours":20.10177277828648,"quality":"inauspicious"},{"name":"Chala","start":"20:06","end":"22:08","startHours":20.10177277828648,"endHours":22.134929541838208,"quality":"neutral"},{"name":"Labha","start":"22:08","end":"00:10","startHours":22.134929541838208,"endHours":24.168086305389934,"quality":"auspicious"},{"name":"Amṛta","start":"00:10","end":"02:12","startHours":24.168086305389934,"endHours":26.20124306894166,"quality":"auspicious"},{"name":"Kāla","start":"02:12","end":"04:14","startHours":26.20124306894166,"endHours":28.234399832493388,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"06:16","startHours":28.234399832493388,"endHours":30.267556596045115,"quality":"auspicious"},{"name":"Roga","start":"06:16","end":"08:18","startHours":30.267556596045115,"endHours":32.30071335959684,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:18","end":"09:18","startHours":8.30071335959684,"endHours":9.30071335959684,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:18","end":"10:18","startHours":9.30071335959684,"endHours":10.30071335959684,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:18","end":"11:18","startHours":10.30071335959684,"endHours":11.30071335959684,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:18","end":"12:18","startHours":11.30071335959684,"endHours":12.30071335959684,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:18","end":"13:18","startHours":12.30071335959684,"endHours":13.30071335959684,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:18","end":"14:18","startHours":13.30071335959684,"endHours":14.30071335959684,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:18","end":"15:18","startHours":14.30071335959684,"endHours":15.30071335959684,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:18","end":"16:18","startHours":15.30071335959684,"endHours":16.30071335959684,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:18","end":"17:18","startHours":16.30071335959684,"endHours":17.30071335959684,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:18","end":"18:18","startHours":17.30071335959684,"endHours":18.30071335959684,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:18","end":"19:18","startHours":18.30071335959684,"endHours":19.30071335959684,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:18","end":"20:18","startHours":19.30071335959684,"endHours":20.30071335959684,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:18","end":"21:18","startHours":20.30071335959684,"endHours":21.30071335959684,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:18","end":"22:18","startHours":21.30071335959684,"endHours":22.30071335959684,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:18","end":"23:18","startHours":22.30071335959684,"endHours":23.30071335959684,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:18","end":"00:18","startHours":23.30071335959684,"endHours":24.30071335959684,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:18","end":"01:18","startHours":24.30071335959684,"endHours":25.30071335959684,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:18","end":"02:18","startHours":25.30071335959684,"endHours":26.30071335959684,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:18","end":"03:18","startHours":26.30071335959684,"endHours":27.30071335959684,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:18","end":"04:18","startHours":27.30071335959684,"endHours":28.30071335959684,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:18","end":"05:18","startHours":28.30071335959684,"endHours":29.30071335959684,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:18","end":"06:18","startHours":29.30071335959684,"endHours":30.30071335959684,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:18","end":"07:18","startHours":30.30071335959684,"endHours":31.30071335959684,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:18","end":"08:18","startHours":31.30071335959684,"endHours":32.30071335959684,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"Mānasa","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":-23.079880227759613,"eotMinutes":-3.705178323396069,"ayanamsa":25.4175}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Dvitīyā · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"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 January 1, 2112 CE · Berlin, Germany · Vidhyamitra","description":"January 1, 2112 CE for Berlin, Germany: Śukla Dvitīyā, sūryodaya 08:18, sūryāsta 16:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2112-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2112-01-01","sa":"https://sa.vidhyamitra.com/city/berlin/2112-01-01","hi":"https://hi.vidhyamitra.com/city/berlin/2112-01-01","x-default":"https://vidhyamitra.com/city/berlin/2112-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:47:08.288Z","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":"2026-06-01T10:47:08.288Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:47:08.288Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}