{"id":"vidhyamitra:city-day:berlin:2002-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2002-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-31","date_display":"December 31, 2002 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":2002,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452639.770833,"kali_year":5104,"ahargana":1864174.2708,"sun":{"sidereal_longitude":255.0284,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":220.0358,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0074,"elapsed_within_tithi_degrees":1.0074},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.0358,"elapsed_within_degrees":6.7025},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.0642},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2002,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452639.770833,"ahargana":1864174.2708,"kali_year":5104,"ayanamsa_lahiri":23.8949,"grahas":{"sun":{"sidereal_longitude":255.28068200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":218.528282,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":0.551},"mars":{"sidereal_longitude":205.03898200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.978782,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":112.97558200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":208.788182,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":60.509882000000005,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.0761,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.0761,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452639.770833,"kali_year":5104,"ahargana":1864174.2708,"sun":{"sidereal_longitude":255.0284,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":220.0358,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0074,"elapsed_within_tithi_degrees":1.0074},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.0358,"elapsed_within_degrees":6.7025},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.0642},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.551,"elongation":34.993},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.551,"opposition_distance":145.007}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"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":"16:01","solarNoonLocal":"12:10","dayLengthHours":7.725314633789873,"dayLengthDisplay":"7 Hours 43 Mins 31 Secs","nightLengthDisplay":"16 Hours 16 Mins 29 Secs","moonriseLocal":"05:36","moonsetLocal":"13:50","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:03","startHours":14.091932573844224,"endHours":15.057596903067957,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:14","end":"11:12","startHours":10.229275256949286,"endHours":11.194939586173021,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:10","end":"13:08","startHours":12.160603915396756,"endHours":13.126268244620489,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:21","startHours":10.100520013052789,"endHours":10.358030500845786,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:50","startHours":8.619834708243063,"endHours":8.82584309847746,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:25","startHours":11.90309342760376,"endHours":12.418114403189751,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:16","end":"07:47","startHours":7.267904647329836,"endHours":7.782925622915827,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:18","startHours":7.6541703790193285,"endHours":8.297946598501818,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"13:58","startHours":13.448156354361734,"endHours":13.963177329947726,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:49","end":"16:13","startHours":15.823261232291692,"endHours":16.22326123229169,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:01","end":"16:21","startHours":16.02326123229169,"endHours":16.345149342032936,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:46","end":"17:31","startHours":15.773261232291691,"endHours":17.52326123229169,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:25","startHours":23.90309342760376,"endHours":24.41811440318975,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"08:18","end":"09:16","startHours":8.297946598501818,"endHours":9.263610927725553,"quality":"inauspicious"},{"name":"Udveg","start":"09:16","end":"10:14","startHours":9.263610927725553,"endHours":10.229275256949286,"quality":"inauspicious"},{"name":"Chala","start":"10:14","end":"11:12","startHours":10.229275256949286,"endHours":11.194939586173021,"quality":"neutral"},{"name":"Labha","start":"11:12","end":"12:10","startHours":11.194939586173021,"endHours":12.160603915396756,"quality":"auspicious"},{"name":"Amṛta","start":"12:10","end":"13:08","startHours":12.160603915396756,"endHours":13.126268244620489,"quality":"auspicious"},{"name":"Kāla","start":"13:08","end":"14:06","startHours":13.126268244620489,"endHours":14.091932573844224,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:03","startHours":14.091932573844224,"endHours":15.057596903067957,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:01","startHours":15.057596903067957,"endHours":16.02326123229169,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:01","end":"18:03","startHours":16.02326123229169,"endHours":18.057596903067957,"quality":"inauspicious"},{"name":"Śubha","start":"18:03","end":"20:06","startHours":18.057596903067957,"endHours":20.091932573844225,"quality":"auspicious"},{"name":"Roga","start":"20:06","end":"22:08","startHours":20.091932573844225,"endHours":22.12626824462049,"quality":"inauspicious"},{"name":"Udveg","start":"22:08","end":"00:10","startHours":22.12626824462049,"endHours":24.160603915396756,"quality":"inauspicious"},{"name":"Chala","start":"00:10","end":"02:12","startHours":24.160603915396756,"endHours":26.19493958617302,"quality":"neutral"},{"name":"Labha","start":"02:12","end":"04:14","startHours":26.19493958617302,"endHours":28.229275256949286,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"06:16","startHours":28.229275256949286,"endHours":30.263610927725555,"quality":"auspicious"},{"name":"Kāla","start":"06:16","end":"08:18","startHours":30.263610927725555,"endHours":32.297946598501824,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:18","end":"09:18","startHours":8.297946598501818,"endHours":9.297946598501818,"planetary_lord":"Mars"},{"name":"Hora 2","start":"09:18","end":"10:18","startHours":9.297946598501818,"endHours":10.297946598501818,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"10:18","end":"11:18","startHours":10.297946598501818,"endHours":11.297946598501818,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"11:18","end":"12:18","startHours":11.297946598501818,"endHours":12.297946598501818,"planetary_lord":"Moon"},{"name":"Hora 5","start":"12:18","end":"13:18","startHours":12.297946598501818,"endHours":13.297946598501818,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"13:18","end":"14:18","startHours":13.297946598501818,"endHours":14.297946598501818,"planetary_lord":"Venus"},{"name":"Hora 7","start":"14:18","end":"15:18","startHours":14.297946598501818,"endHours":15.297946598501818,"planetary_lord":"Sun"},{"name":"Hora 8","start":"15:18","end":"16:18","startHours":15.297946598501818,"endHours":16.297946598501817,"planetary_lord":"Mars"},{"name":"Hora 9","start":"16:18","end":"17:18","startHours":16.297946598501817,"endHours":17.297946598501817,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"17:18","end":"18:18","startHours":17.297946598501817,"endHours":18.297946598501817,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"18:18","end":"19:18","startHours":18.297946598501817,"endHours":19.297946598501817,"planetary_lord":"Moon"},{"name":"Hora 12","start":"19:18","end":"20:18","startHours":19.297946598501817,"endHours":20.297946598501817,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"20:18","end":"21:18","startHours":20.297946598501817,"endHours":21.297946598501817,"planetary_lord":"Venus"},{"name":"Hora 14","start":"21:18","end":"22:18","startHours":21.297946598501817,"endHours":22.297946598501817,"planetary_lord":"Sun"},{"name":"Hora 15","start":"22:18","end":"23:18","startHours":22.297946598501817,"endHours":23.297946598501817,"planetary_lord":"Mars"},{"name":"Hora 16","start":"23:18","end":"00:18","startHours":23.297946598501817,"endHours":24.297946598501817,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"00:18","end":"01:18","startHours":24.297946598501817,"endHours":25.297946598501817,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"01:18","end":"02:18","startHours":25.297946598501817,"endHours":26.297946598501817,"planetary_lord":"Moon"},{"name":"Hora 19","start":"02:18","end":"03:18","startHours":26.297946598501817,"endHours":27.297946598501817,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"03:18","end":"04:18","startHours":27.297946598501817,"endHours":28.297946598501817,"planetary_lord":"Venus"},{"name":"Hora 21","start":"04:18","end":"05:18","startHours":28.297946598501817,"endHours":29.297946598501817,"planetary_lord":"Sun"},{"name":"Hora 22","start":"05:18","end":"06:18","startHours":29.297946598501817,"endHours":30.297946598501817,"planetary_lord":"Mars"},{"name":"Hora 23","start":"06:18","end":"07:18","startHours":30.297946598501817,"endHours":31.297946598501817,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"07:18","end":"08:18","startHours":31.297946598501817,"endHours":32.29794659850182,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-23.11906738150762,"eotMinutes":-3.2562349238053434,"ayanamsa":23.8949}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"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 Trayodaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 31, 2002 CE · Berlin, Germany · Vidhyamitra","description":"December 31, 2002 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 08:18, sūryāsta 16:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2002-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2002-12-31","sa":"https://sa.vidhyamitra.com/city/berlin/2002-12-31","hi":"https://hi.vidhyamitra.com/city/berlin/2002-12-31","x-default":"https://vidhyamitra.com/city/berlin/2002-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:52:30.660Z","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":"2026-05-31T02:52:30.660Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:52:30.660Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}