{"id":"vidhyamitra:city-day:berlin:2015-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2015-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-06","date_display":"December 6, 2015 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":2015,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457362.770833,"kali_year":5117,"ahargana":1868897.2708,"sun":{"sidereal_longitude":228.9986,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":167.2006,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.202,"elapsed_within_tithi_degrees":10.202},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.2006,"elapsed_within_degrees":7.2006},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.1992},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2015,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457362.770833,"ahargana":1868897.2708,"kali_year":5117,"ayanamsa_lahiri":24.0755,"grahas":{"sun":{"sidereal_longitude":229.50232900000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":168.917329,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":0.8093},"mars":{"sidereal_longitude":169.43832900000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":239.45142899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":146.73512900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":186.73042899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.86592900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.8288,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":336.8288,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457362.770833,"kali_year":5117,"ahargana":1868897.2708,"sun":{"sidereal_longitude":228.9986,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":167.2006,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.202,"elapsed_within_tithi_degrees":10.202},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.2006,"elapsed_within_degrees":7.2006},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.1992},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.809,"elongation":61.798},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.809,"opposition_distance":118.202}},"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":"08:02","sunsetLocal":"15:55","solarNoonLocal":"11:58","dayLengthHours":7.890046368138016,"dayLengthDisplay":"7 Hours 53 Mins 24 Secs","nightLengthDisplay":"16 Hours 06 Mins 36 Secs","moonriseLocal":"02:19","moonsetLocal":"13:33","rahuKala":{"name":"Rāhu Kāla","start":"14:56","end":"15:55","startHours":14.929386063472563,"endHours":15.915641859489815,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:58","end":"12:57","startHours":11.970618675420807,"endHours":12.95687447143806,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"14:56","startHours":13.943130267455311,"endHours":14.929386063472563,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:52","end":"10:08","startHours":9.866606310584004,"endHours":10.129607856188603,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:21","end":"08:34","startHours":8.35434742335755,"endHours":8.56474865984123,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:14","startHours":11.707617129816207,"endHours":12.233620221025408,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:58","end":"07:30","startHours":6.973589308933397,"endHours":7.499592400142598,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:22","end":"08:02","startHours":7.368091627340298,"endHours":8.0255954913518,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:49","startHours":13.28562640344381,"endHours":13.811629494653012,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:43","end":"16:07","startHours":15.715641859489816,"endHours":16.115641859489816,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:55","end":"16:15","startHours":15.915641859489815,"endHours":16.244393791495565,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:40","end":"17:25","startHours":15.665641859489815,"endHours":17.415641859489817,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:14","startHours":23.70761712981621,"endHours":24.233620221025408,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"08:02","end":"09:01","startHours":8.0255954913518,"endHours":9.011851287369051,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:00","startHours":9.011851287369051,"endHours":9.998107083386303,"quality":"neutral"},{"name":"Labha","start":"10:00","end":"10:59","startHours":9.998107083386303,"endHours":10.984362879403555,"quality":"auspicious"},{"name":"Amṛta","start":"10:59","end":"11:58","startHours":10.984362879403555,"endHours":11.970618675420807,"quality":"auspicious"},{"name":"Kāla","start":"11:58","end":"12:57","startHours":11.970618675420807,"endHours":12.95687447143806,"quality":"inauspicious"},{"name":"Śubha","start":"12:57","end":"13:57","startHours":12.95687447143806,"endHours":13.943130267455311,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"14:56","startHours":13.943130267455311,"endHours":14.929386063472563,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"15:55","startHours":14.929386063472563,"endHours":15.915641859489815,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"15:55","end":"17:56","startHours":15.915641859489815,"endHours":17.929386063472563,"quality":"auspicious"},{"name":"Roga","start":"17:56","end":"19:57","startHours":17.929386063472563,"endHours":19.94313026745531,"quality":"inauspicious"},{"name":"Udveg","start":"19:57","end":"21:57","startHours":19.94313026745531,"endHours":21.95687447143806,"quality":"inauspicious"},{"name":"Chala","start":"21:57","end":"23:58","startHours":21.95687447143806,"endHours":23.97061867542081,"quality":"neutral"},{"name":"Labha","start":"23:58","end":"01:59","startHours":23.97061867542081,"endHours":25.984362879403555,"quality":"auspicious"},{"name":"Amṛta","start":"01:59","end":"04:00","startHours":25.984362879403555,"endHours":27.9981070833863,"quality":"auspicious"},{"name":"Kāla","start":"04:00","end":"06:01","startHours":27.9981070833863,"endHours":30.01185128736905,"quality":"inauspicious"},{"name":"Śubha","start":"06:01","end":"08:02","startHours":30.01185128736905,"endHours":32.0255954913518,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:02","end":"09:02","startHours":8.0255954913518,"endHours":9.0255954913518,"planetary_lord":"Sun"},{"name":"Hora 2","start":"09:02","end":"10:02","startHours":9.0255954913518,"endHours":10.0255954913518,"planetary_lord":"Mars"},{"name":"Hora 3","start":"10:02","end":"11:02","startHours":10.0255954913518,"endHours":11.0255954913518,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"11:02","end":"12:02","startHours":11.0255954913518,"endHours":12.0255954913518,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"12:02","end":"13:02","startHours":12.0255954913518,"endHours":13.0255954913518,"planetary_lord":"Moon"},{"name":"Hora 6","start":"13:02","end":"14:02","startHours":13.0255954913518,"endHours":14.0255954913518,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"14:02","end":"15:02","startHours":14.0255954913518,"endHours":15.0255954913518,"planetary_lord":"Venus"},{"name":"Hora 8","start":"15:02","end":"16:02","startHours":15.0255954913518,"endHours":16.0255954913518,"planetary_lord":"Sun"},{"name":"Hora 9","start":"16:02","end":"17:02","startHours":16.0255954913518,"endHours":17.0255954913518,"planetary_lord":"Mars"},{"name":"Hora 10","start":"17:02","end":"18:02","startHours":17.0255954913518,"endHours":18.0255954913518,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"18:02","end":"19:02","startHours":18.0255954913518,"endHours":19.0255954913518,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"19:02","end":"20:02","startHours":19.0255954913518,"endHours":20.0255954913518,"planetary_lord":"Moon"},{"name":"Hora 13","start":"20:02","end":"21:02","startHours":20.0255954913518,"endHours":21.0255954913518,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"21:02","end":"22:02","startHours":21.0255954913518,"endHours":22.0255954913518,"planetary_lord":"Venus"},{"name":"Hora 15","start":"22:02","end":"23:02","startHours":22.0255954913518,"endHours":23.0255954913518,"planetary_lord":"Sun"},{"name":"Hora 16","start":"23:02","end":"00:02","startHours":23.0255954913518,"endHours":24.0255954913518,"planetary_lord":"Mars"},{"name":"Hora 17","start":"00:02","end":"01:02","startHours":24.0255954913518,"endHours":25.0255954913518,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"01:02","end":"02:02","startHours":25.0255954913518,"endHours":26.0255954913518,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"02:02","end":"03:02","startHours":26.0255954913518,"endHours":27.0255954913518,"planetary_lord":"Moon"},{"name":"Hora 20","start":"03:02","end":"04:02","startHours":27.0255954913518,"endHours":28.0255954913518,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"04:02","end":"05:02","startHours":28.0255954913518,"endHours":29.0255954913518,"planetary_lord":"Venus"},{"name":"Hora 22","start":"05:02","end":"06:02","startHours":29.0255954913518,"endHours":30.0255954913518,"planetary_lord":"Sun"},{"name":"Hora 23","start":"06:02","end":"07:02","startHours":30.0255954913518,"endHours":31.0255954913518,"planetary_lord":"Mars"},{"name":"Hora 24","start":"07:02","end":"08:02","startHours":31.0255954913518,"endHours":32.0255954913518,"planetary_lord":"Jupiter"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.42705018373996,"eotMinutes":8.142879474751563,"ayanamsa":24.0755}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Daśamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 6, 2015 CE · Berlin, Germany · Vidhyamitra","description":"December 6, 2015 CE for Berlin, Germany: Kṛṣṇa Daśamī, sūryodaya 08:02, sūryāsta 15:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2015-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2015-12-06","sa":"https://sa.vidhyamitra.com/city/berlin/2015-12-06","hi":"https://hi.vidhyamitra.com/city/berlin/2015-12-06","x-default":"https://vidhyamitra.com/city/berlin/2015-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:25:35.031Z","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":"2026-06-03T07:25:35.031Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:25:35.031Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}