{"id":"vidhyamitra:city-day:berlin:2000-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2000-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-12-15","date_display":"December 15, 2000 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":2000,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451893.770833,"kali_year":5102,"ahargana":1863428.2708,"sun":{"sidereal_longitude":239.1228,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":106.7295,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.6067,"elapsed_within_tithi_degrees":11.6067},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.7295,"elapsed_within_degrees":0.0628},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8523},"karana":{"half_tithi_index":37,"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":2000,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451893.770833,"ahargana":1863428.2708,"kali_year":5102,"ayanamsa_lahiri":23.8663,"grahas":{"sun":{"sidereal_longitude":239.50818500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":110.208485,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":1.547},"mars":{"sidereal_longitude":181.00478499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":233.46608500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":40.02968499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":283.89808500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":31.57048500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":86.6028,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.6028,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":2000,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451893.770833,"kali_year":5102,"ahargana":1863428.2708,"sun":{"sidereal_longitude":239.1228,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":106.7295,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.6067,"elapsed_within_tithi_degrees":11.6067},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.7295,"elapsed_within_degrees":0.0628},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8523},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.547,"elongation":132.393},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.547,"opposition_distance":47.607}},"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":"08:12","sunsetLocal":"15:53","solarNoonLocal":"12:02","dayLengthHours":7.6886942717486875,"dayLengthDisplay":"7 Hours 41 Mins 19 Secs","nightLengthDisplay":"16 Hours 18 Mins 41 Secs","moonriseLocal":"19:49","moonsetLocal":"11:01","rahuKala":{"name":"Rāhu Kāla","start":"11:05","end":"12:02","startHours":11.075614298805212,"endHours":12.036701082773797,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:58","end":"14:55","startHours":13.95887465071097,"endHours":14.919961434679555,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:07","startHours":9.15344073086804,"endHours":10.114527514836626,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:59","end":"10:15","startHours":9.98638261030748,"endHours":10.242672419365771,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:31","end":"08:43","startHours":8.512716208222315,"endHours":8.717748055468947,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:18","startHours":11.780411273715508,"endHours":12.292990891832087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:10","end":"07:41","startHours":7.167194710666296,"endHours":7.679774328782875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:33","end":"08:12","startHours":7.55162942425373,"endHours":8.192353946899454,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:19","end":"13:50","startHours":13.318150128065245,"endHours":13.830729746181824,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:41","end":"16:05","startHours":15.681048218648142,"endHours":16.081048218648142,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:53","end":"16:12","startHours":15.881048218648141,"endHours":16.201410479971003,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:38","end":"17:23","startHours":15.631048218648141,"endHours":17.38104821864814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:18","startHours":23.780411273715504,"endHours":24.292990891832087,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:12","end":"09:09","startHours":8.192353946899454,"endHours":9.15344073086804,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:07","startHours":9.15344073086804,"endHours":10.114527514836626,"quality":"auspicious"},{"name":"Amṛta","start":"10:07","end":"11:05","startHours":10.114527514836626,"endHours":11.075614298805212,"quality":"auspicious"},{"name":"Kāla","start":"11:05","end":"12:02","startHours":11.075614298805212,"endHours":12.036701082773797,"quality":"inauspicious"},{"name":"Śubha","start":"12:02","end":"13:00","startHours":12.036701082773797,"endHours":12.997787866742383,"quality":"auspicious"},{"name":"Roga","start":"13:00","end":"13:58","startHours":12.997787866742383,"endHours":13.95887465071097,"quality":"inauspicious"},{"name":"Udveg","start":"13:58","end":"14:55","startHours":13.95887465071097,"endHours":14.919961434679555,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"15:53","startHours":14.919961434679555,"endHours":15.881048218648141,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"15:53","end":"17:55","startHours":15.881048218648141,"endHours":17.919961434679557,"quality":"inauspicious"},{"name":"Udveg","start":"17:55","end":"19:58","startHours":17.919961434679557,"endHours":19.958874650710968,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"22:00","startHours":19.958874650710968,"endHours":21.997787866742385,"quality":"neutral"},{"name":"Labha","start":"22:00","end":"00:02","startHours":21.997787866742385,"endHours":24.036701082773796,"quality":"auspicious"},{"name":"Amṛta","start":"00:02","end":"02:05","startHours":24.036701082773796,"endHours":26.075614298805213,"quality":"auspicious"},{"name":"Kāla","start":"02:05","end":"04:07","startHours":26.075614298805213,"endHours":28.114527514836624,"quality":"inauspicious"},{"name":"Śubha","start":"04:07","end":"06:09","startHours":28.114527514836624,"endHours":30.15344073086804,"quality":"auspicious"},{"name":"Roga","start":"06:09","end":"08:12","startHours":30.15344073086804,"endHours":32.19235394689945,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:12","end":"09:12","startHours":8.192353946899454,"endHours":9.192353946899454,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:12","end":"10:12","startHours":9.192353946899454,"endHours":10.192353946899454,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:12","end":"11:12","startHours":10.192353946899454,"endHours":11.192353946899454,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:12","end":"12:12","startHours":11.192353946899454,"endHours":12.192353946899454,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:12","end":"13:12","startHours":12.192353946899454,"endHours":13.192353946899454,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:12","end":"14:12","startHours":13.192353946899454,"endHours":14.192353946899454,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:12","end":"15:12","startHours":14.192353946899454,"endHours":15.192353946899454,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:12","end":"16:12","startHours":15.192353946899454,"endHours":16.192353946899452,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:12","end":"17:12","startHours":16.192353946899452,"endHours":17.192353946899452,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:12","end":"18:12","startHours":17.192353946899452,"endHours":18.192353946899452,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:12","end":"19:12","startHours":18.192353946899452,"endHours":19.192353946899452,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:12","end":"20:12","startHours":19.192353946899452,"endHours":20.192353946899452,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:12","end":"21:12","startHours":20.192353946899452,"endHours":21.192353946899452,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:12","end":"22:12","startHours":21.192353946899452,"endHours":22.192353946899452,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:12","end":"23:12","startHours":22.192353946899452,"endHours":23.192353946899452,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:12","end":"00:12","startHours":23.192353946899452,"endHours":24.192353946899452,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:12","end":"01:12","startHours":24.192353946899452,"endHours":25.192353946899452,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:12","end":"02:12","startHours":25.192353946899452,"endHours":26.192353946899452,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:12","end":"03:12","startHours":26.192353946899452,"endHours":27.192353946899452,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:12","end":"04:12","startHours":27.192353946899452,"endHours":28.192353946899452,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:12","end":"05:12","startHours":28.192353946899452,"endHours":29.192353946899452,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:12","end":"06:12","startHours":29.192353946899452,"endHours":30.192353946899452,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:12","end":"07:12","startHours":30.192353946899452,"endHours":31.192353946899452,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:12","end":"08:12","startHours":31.192353946899452,"endHours":32.19235394689945,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","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":-23.270726434902194,"eotMinutes":4.177935033572184,"ayanamsa":23.8663}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 December 15, 2000 CE · Berlin, Germany · Vidhyamitra","description":"December 15, 2000 CE for Berlin, Germany: Kṛṣṇa Caturthī, sūryodaya 08:12, sūryāsta 15:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2000-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2000-12-15","sa":"https://sa.vidhyamitra.com/city/berlin/2000-12-15","hi":"https://hi.vidhyamitra.com/city/berlin/2000-12-15","x-default":"https://vidhyamitra.com/city/berlin/2000-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:36:58.113Z","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":"2026-05-31T16:36:58.113Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:36:58.113Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}