{"id":"vidhyamitra:city-day:berlin:2002-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2002-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-08-04","date_display":"August 4, 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":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452490.770833,"kali_year":5104,"ahargana":1864025.2708,"sun":{"sidereal_longitude":107.0677,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":48.0289,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.9611,"elapsed_within_tithi_degrees":0.9611},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.0289,"elapsed_within_degrees":8.0289},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.0966},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2002,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452490.770833,"ahargana":1864025.2708,"kali_year":5104,"ayanamsa_lahiri":23.8892,"grahas":{"sun":{"sidereal_longitude":107.62627500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":47.25527499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-0.5433},"mars":{"sidereal_longitude":109.80927500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":121.872275,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":96.53107499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":152.57877499999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":61.23207500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":54.9708,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.9708,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452490.770833,"kali_year":5104,"ahargana":1864025.2708,"sun":{"sidereal_longitude":107.0677,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":48.0289,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.9611,"elapsed_within_tithi_degrees":0.9611},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.0289,"elapsed_within_degrees":8.0289},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.0966},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.543,"elongation":59.039},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.543,"opposition_distance":120.961}},"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":"04:30","sunsetLocal":"19:55","solarNoonLocal":"12:12","dayLengthHours":15.411652596899971,"dayLengthDisplay":"15 Hours 24 Mins 42 Secs","nightLengthDisplay":"8 Hours 35 Mins 18 Secs","moonriseLocal":"23:58","moonsetLocal":"16:24","rahuKala":{"name":"Rāhu Kāla","start":"17:59","end":"19:55","startHours":17.982267481571455,"endHours":19.90872405618395,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"14:08","startHours":12.202897757733965,"endHours":14.12935433234646,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:03","end":"17:59","startHours":16.055810906958957,"endHours":17.982267481571455,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:06","end":"08:36","startHours":8.093123731893971,"endHours":8.60684548512397,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:08","end":"05:33","startHours":5.139223650821477,"endHours":5.550201053405476,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:43","startHours":11.689176004503965,"endHours":12.716619510963964,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:27","end":"03:28","startHours":2.442184446363982,"endHours":3.4696279528239797,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:13","end":"04:30","startHours":3.2127670762089804,"endHours":4.497071459283978,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:48","startHours":14.771506523883959,"endHours":15.798950030343956,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:43","end":"20:07","startHours":19.70872405618395,"endHours":20.10872405618395,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:55","end":"20:33","startHours":19.90872405618395,"endHours":20.550876247721447,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:40","end":"21:25","startHours":19.65872405618395,"endHours":21.40872405618395,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:43","startHours":23.689176004503967,"endHours":24.716619510963962,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:30","end":"06:25","startHours":4.497071459283978,"endHours":6.423528033896474,"quality":"inauspicious"},{"name":"Chala","start":"06:25","end":"08:21","startHours":6.423528033896474,"endHours":8.34998460850897,"quality":"neutral"},{"name":"Labha","start":"08:21","end":"10:17","startHours":8.34998460850897,"endHours":10.276441183121467,"quality":"auspicious"},{"name":"Amṛta","start":"10:17","end":"12:12","startHours":10.276441183121467,"endHours":12.202897757733965,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"14:08","startHours":12.202897757733965,"endHours":14.12935433234646,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"16:03","startHours":14.12935433234646,"endHours":16.055810906958957,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:59","startHours":16.055810906958957,"endHours":17.982267481571455,"quality":"inauspicious"},{"name":"Udveg","start":"17:59","end":"19:55","startHours":17.982267481571455,"endHours":19.90872405618395,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:55","end":"20:59","startHours":19.90872405618395,"endHours":20.98226748157145,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:03","startHours":20.98226748157145,"endHours":22.055810906958957,"quality":"inauspicious"},{"name":"Udveg","start":"22:03","end":"23:08","startHours":22.055810906958957,"endHours":23.12935433234646,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:12","startHours":23.12935433234646,"endHours":24.202897757733965,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:17","startHours":24.202897757733965,"endHours":25.276441183121467,"quality":"auspicious"},{"name":"Amṛta","start":"01:17","end":"02:21","startHours":25.276441183121467,"endHours":26.34998460850897,"quality":"auspicious"},{"name":"Kāla","start":"02:21","end":"03:25","startHours":26.34998460850897,"endHours":27.423528033896474,"quality":"inauspicious"},{"name":"Śubha","start":"03:25","end":"04:30","startHours":27.423528033896474,"endHours":28.49707145928398,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:30","end":"05:30","startHours":4.497071459283978,"endHours":5.497071459283978,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:30","end":"06:30","startHours":5.497071459283978,"endHours":6.497071459283978,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:30","end":"07:30","startHours":6.497071459283978,"endHours":7.497071459283978,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:30","end":"08:30","startHours":7.497071459283978,"endHours":8.497071459283978,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:30","end":"09:30","startHours":8.497071459283978,"endHours":9.497071459283978,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:30","end":"10:30","startHours":9.497071459283978,"endHours":10.497071459283978,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:30","end":"11:30","startHours":10.497071459283978,"endHours":11.497071459283978,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:30","end":"12:30","startHours":11.497071459283978,"endHours":12.497071459283978,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:30","end":"13:30","startHours":12.497071459283978,"endHours":13.497071459283978,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:30","end":"14:30","startHours":13.497071459283978,"endHours":14.497071459283978,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:30","end":"15:30","startHours":14.497071459283978,"endHours":15.497071459283978,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:30","end":"16:30","startHours":15.497071459283978,"endHours":16.49707145928398,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:30","end":"17:30","startHours":16.49707145928398,"endHours":17.49707145928398,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:30","end":"18:30","startHours":17.49707145928398,"endHours":18.49707145928398,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:30","end":"19:30","startHours":18.49707145928398,"endHours":19.49707145928398,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:30","end":"20:30","startHours":19.49707145928398,"endHours":20.49707145928398,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:30","end":"21:30","startHours":20.49707145928398,"endHours":21.49707145928398,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:30","end":"22:30","startHours":21.49707145928398,"endHours":22.49707145928398,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:30","end":"23:30","startHours":22.49707145928398,"endHours":23.49707145928398,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:30","end":"00:30","startHours":23.49707145928398,"endHours":24.49707145928398,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:30","end":"01:30","startHours":24.49707145928398,"endHours":25.49707145928398,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:30","end":"02:30","startHours":25.49707145928398,"endHours":26.49707145928398,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:30","end":"03:30","startHours":26.49707145928398,"endHours":27.49707145928398,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:30","end":"04:30","startHours":27.49707145928398,"endHours":28.49707145928398,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.32628270166254,"eotMinutes":-5.793865464037833,"ayanamsa":23.8892}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ekādaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"aja-ekadashi","name":"Ajā Ekādaśī","name_sanskrit":"अजा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"King Hariścandra observed this; restored him to throne and family.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 August 4, 2002 CE · Berlin, Germany · Vidhyamitra","description":"August 4, 2002 CE for Berlin, Germany: Kṛṣṇa Ekādaśī, sūryodaya 04:30, sūryāsta 19:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2002-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2002-08-04","sa":"https://sa.vidhyamitra.com/city/berlin/2002-08-04","hi":"https://hi.vidhyamitra.com/city/berlin/2002-08-04","x-default":"https://vidhyamitra.com/city/berlin/2002-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T19:52:24.091Z","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":"2026-05-16T19:52:24.091Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T19:52:24.091Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}