{"id":"vidhyamitra:city-day:berlin:2115-12-23:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-12-23","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-23","date_display":"December 23, 2115 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":2115,"month":12,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493903.770833,"kali_year":5217,"ahargana":1905438.2708,"sun":{"sidereal_longitude":244.5051,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.6287,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.1235,"elapsed_within_tithi_degrees":7.1235},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.6287,"elapsed_within_degrees":3.6287},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.1338},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2115,"month":12,"day":23,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493903.770833,"ahargana":1905438.2708,"kali_year":5217,"ayanamsa_lahiri":25.4731,"grahas":{"sun":{"sidereal_longitude":245.11619399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":320.380094,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-3.7764},"mars":{"sidereal_longitude":214.71949399999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":248.581094,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":277.25609399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":282.04469399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":351.502494,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.7108,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.7108,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":12,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493903.770833,"kali_year":5217,"ahargana":1905438.2708,"sun":{"sidereal_longitude":244.5051,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.6287,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.1235,"elapsed_within_tithi_degrees":7.1235},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.6287,"elapsed_within_degrees":3.6287},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.1338},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.776,"elongation":79.124},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.776,"opposition_distance":100.876}},"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":"08:16","sunsetLocal":"15:55","solarNoonLocal":"12:06","dayLengthHours":7.648763978088777,"dayLengthDisplay":"7 Hours 38 Mins 56 Secs","nightLengthDisplay":"16 Hours 21 Mins 04 Secs","moonriseLocal":"11:32","moonsetLocal":"22:42","rahuKala":{"name":"Rāhu Kāla","start":"09:14","end":"10:11","startHours":9.230655313354923,"endHours":10.186750810616019,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:06","startHours":11.142846307877116,"endHours":12.098941805138214,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:03","end":"14:01","startHours":13.055037302399311,"endHours":14.011132799660409,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:04","end":"10:19","startHours":10.059271410981207,"endHours":10.314230210250832,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.593258315180858,"endHours":8.79722535459656,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:21","startHours":11.843983005868587,"endHours":12.35390060440784,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:15","end":"07:46","startHours":7.254724619015322,"endHours":7.764642217554574,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:38","end":"08:16","startHours":7.63716281791976,"endHours":8.274559816093825,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:22","end":"13:53","startHours":13.373735801486344,"endHours":13.883653400025596,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:43","end":"16:07","startHours":15.723323794182603,"endHours":16.123323794182603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:55","end":"16:15","startHours":15.923323794182602,"endHours":16.242022293269635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:40","end":"17:25","startHours":15.673323794182602,"endHours":17.4233237941826,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:21","startHours":23.843983005868587,"endHours":24.35390060440784,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"08:16","end":"09:14","startHours":8.274559816093825,"endHours":9.230655313354923,"quality":"auspicious"},{"name":"Kāla","start":"09:14","end":"10:11","startHours":9.230655313354923,"endHours":10.186750810616019,"quality":"inauspicious"},{"name":"Śubha","start":"10:11","end":"11:09","startHours":10.186750810616019,"endHours":11.142846307877116,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:06","startHours":11.142846307877116,"endHours":12.098941805138214,"quality":"inauspicious"},{"name":"Udveg","start":"12:06","end":"13:03","startHours":12.098941805138214,"endHours":13.055037302399311,"quality":"inauspicious"},{"name":"Chala","start":"13:03","end":"14:01","startHours":13.055037302399311,"endHours":14.011132799660409,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"14:58","startHours":14.011132799660409,"endHours":14.967228296921505,"quality":"auspicious"},{"name":"Amṛta","start":"14:58","end":"15:55","startHours":14.967228296921505,"endHours":15.923323794182602,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"15:55","end":"17:58","startHours":15.923323794182602,"endHours":17.967228296921505,"quality":"neutral"},{"name":"Labha","start":"17:58","end":"20:01","startHours":17.967228296921505,"endHours":20.01113279966041,"quality":"auspicious"},{"name":"Amṛta","start":"20:01","end":"22:03","startHours":20.01113279966041,"endHours":22.055037302399313,"quality":"auspicious"},{"name":"Kāla","start":"22:03","end":"00:06","startHours":22.055037302399313,"endHours":24.098941805138214,"quality":"inauspicious"},{"name":"Śubha","start":"00:06","end":"02:09","startHours":24.098941805138214,"endHours":26.142846307877114,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"04:11","startHours":26.142846307877114,"endHours":28.18675081061602,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"06:14","startHours":28.18675081061602,"endHours":30.230655313354923,"quality":"inauspicious"},{"name":"Chala","start":"06:14","end":"08:16","startHours":30.230655313354923,"endHours":32.27455981609383,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.274559816093825,"endHours":9.274559816093825,"planetary_lord":"Moon"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.274559816093825,"endHours":10.274559816093825,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.274559816093825,"endHours":11.274559816093825,"planetary_lord":"Venus"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.274559816093825,"endHours":12.274559816093825,"planetary_lord":"Sun"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.274559816093825,"endHours":13.274559816093825,"planetary_lord":"Mars"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.274559816093825,"endHours":14.274559816093825,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.274559816093825,"endHours":15.274559816093825,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.274559816093825,"endHours":16.274559816093827,"planetary_lord":"Moon"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.274559816093827,"endHours":17.274559816093827,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.274559816093827,"endHours":18.274559816093827,"planetary_lord":"Venus"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.274559816093827,"endHours":19.274559816093827,"planetary_lord":"Sun"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.274559816093827,"endHours":20.274559816093827,"planetary_lord":"Mars"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.274559816093827,"endHours":21.274559816093827,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.274559816093827,"endHours":22.274559816093827,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.274559816093827,"endHours":23.274559816093827,"planetary_lord":"Moon"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.274559816093827,"endHours":24.274559816093827,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.274559816093827,"endHours":25.274559816093827,"planetary_lord":"Venus"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.274559816093827,"endHours":26.274559816093827,"planetary_lord":"Sun"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.274559816093827,"endHours":27.274559816093827,"planetary_lord":"Mars"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.274559816093827,"endHours":28.274559816093827,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.274559816093827,"endHours":29.274559816093827,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.274559816093827,"endHours":30.274559816093827,"planetary_lord":"Moon"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.274559816093827,"endHours":31.274559816093827,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.274559816093827,"endHours":32.27455981609383,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","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":-23.435186319638238,"eotMinutes":0.4434916917071845,"ayanamsa":25.4731}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Saptamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 December 23, 2115 CE · Berlin, Germany · Vidhyamitra","description":"December 23, 2115 CE for Berlin, Germany: Śukla Saptamī, sūryodaya 08:16, sūryāsta 15:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-12-23","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-12-23","sa":"https://sa.vidhyamitra.com/city/berlin/2115-12-23","hi":"https://hi.vidhyamitra.com/city/berlin/2115-12-23","x-default":"https://vidhyamitra.com/city/berlin/2115-12-23"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:47:46.712Z","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":"2026-06-02T19:47:46.712Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:47:46.712Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}