{"id":"vidhyamitra:city-day:berlin:2001-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2001-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-04-20","date_display":"April 20, 2001 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":2001,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452019.770833,"kali_year":5103,"ahargana":1863554.2708,"sun":{"sidereal_longitude":6.2735,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":323.2498,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":316.9763,"elapsed_within_tithi_degrees":4.9763},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2498,"elapsed_within_degrees":3.2498},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.5232},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":2001,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452019.770833,"ahargana":1863554.2708,"kali_year":5103,"ayanamsa_lahiri":23.8712,"grahas":{"sun":{"sidereal_longitude":6.165670999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":324.19297099999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.0202},"mars":{"sidereal_longitude":242.49637099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":2.224470999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":47.29877099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":337.60047099999997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":35.969471,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":79.9267,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.9267,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2001,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452019.770833,"kali_year":5103,"ahargana":1863554.2708,"sun":{"sidereal_longitude":6.2735,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":323.2498,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":316.9763,"elapsed_within_tithi_degrees":4.9763},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2498,"elapsed_within_degrees":3.2498},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.5232},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.02,"elongation":43.024},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.02,"opposition_distance":136.976}},"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":"04:58","sunsetLocal":"19:13","solarNoonLocal":"12:05","dayLengthHours":14.242364579326452,"dayLengthDisplay":"14 Hours 14 Mins 33 Secs","nightLengthDisplay":"9 Hours 45 Mins 27 Secs","moonriseLocal":"03:38","moonsetLocal":"14:57","rahuKala":{"name":"Rāhu Kāla","start":"10:19","end":"12:05","startHours":10.309908369823512,"endHours":12.090203942239318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:39","end":"17:26","startHours":15.650795087070932,"endHours":17.43109065948674,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:45","end":"08:32","startHours":6.7493172249918985,"endHours":8.529612797407705,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:46","startHours":8.292240054418931,"endHours":8.76698554039648,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:34","end":"05:57","startHours":5.562453510048028,"endHours":5.942249898830067,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:34","startHours":11.61545845626177,"endHours":12.564949428216867,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:04","end":"04:01","startHours":3.070039708665899,"endHours":4.019530680620996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:47","end":"04:58","startHours":3.7821579376322214,"endHours":4.969021652576092,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:25","startHours":14.46393137212706,"endHours":15.413422344082157,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.011386231902545,"endHours":19.411386231902544,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:48","startHours":19.211386231902544,"endHours":19.80481808937448,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.961386231902544,"endHours":20.711386231902544,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:34","startHours":23.61545845626177,"endHours":24.56494942821687,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:58","end":"06:45","startHours":4.969021652576092,"endHours":6.7493172249918985,"quality":"neutral"},{"name":"Labha","start":"06:45","end":"08:32","startHours":6.7493172249918985,"endHours":8.529612797407705,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"10:19","startHours":8.529612797407705,"endHours":10.309908369823512,"quality":"auspicious"},{"name":"Kāla","start":"10:19","end":"12:05","startHours":10.309908369823512,"endHours":12.090203942239318,"quality":"inauspicious"},{"name":"Śubha","start":"12:05","end":"13:52","startHours":12.090203942239318,"endHours":13.870499514655124,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:39","startHours":13.870499514655124,"endHours":15.650795087070932,"quality":"inauspicious"},{"name":"Udveg","start":"15:39","end":"17:26","startHours":15.650795087070932,"endHours":17.43109065948674,"quality":"inauspicious"},{"name":"Chala","start":"17:26","end":"19:13","startHours":17.43109065948674,"endHours":19.211386231902544,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:13","end":"20:26","startHours":19.211386231902544,"endHours":20.43109065948674,"quality":"inauspicious"},{"name":"Udveg","start":"20:26","end":"21:39","startHours":20.43109065948674,"endHours":21.650795087070932,"quality":"inauspicious"},{"name":"Chala","start":"21:39","end":"22:52","startHours":21.650795087070932,"endHours":22.870499514655126,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:05","startHours":22.870499514655126,"endHours":24.09020394223932,"quality":"auspicious"},{"name":"Amṛta","start":"00:05","end":"01:19","startHours":24.09020394223932,"endHours":25.30990836982351,"quality":"auspicious"},{"name":"Kāla","start":"01:19","end":"02:32","startHours":25.30990836982351,"endHours":26.529612797407705,"quality":"inauspicious"},{"name":"Śubha","start":"02:32","end":"03:45","startHours":26.529612797407705,"endHours":27.7493172249919,"quality":"auspicious"},{"name":"Roga","start":"03:45","end":"04:58","startHours":27.7493172249919,"endHours":28.969021652576092,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:58","end":"05:58","startHours":4.969021652576092,"endHours":5.969021652576092,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:58","end":"06:58","startHours":5.969021652576092,"endHours":6.969021652576092,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:58","end":"07:58","startHours":6.969021652576092,"endHours":7.969021652576092,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:58","end":"08:58","startHours":7.969021652576092,"endHours":8.969021652576092,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:58","end":"09:58","startHours":8.969021652576092,"endHours":9.969021652576092,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:58","end":"10:58","startHours":9.969021652576092,"endHours":10.969021652576092,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:58","end":"11:58","startHours":10.969021652576092,"endHours":11.969021652576092,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:58","end":"12:58","startHours":11.969021652576092,"endHours":12.969021652576092,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:58","end":"13:58","startHours":12.969021652576092,"endHours":13.969021652576092,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:58","end":"14:58","startHours":13.969021652576092,"endHours":14.969021652576092,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:58","end":"15:58","startHours":14.969021652576092,"endHours":15.969021652576092,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:58","end":"16:58","startHours":15.969021652576092,"endHours":16.969021652576092,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:58","end":"17:58","startHours":16.969021652576092,"endHours":17.969021652576092,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:58","end":"18:58","startHours":17.969021652576092,"endHours":18.969021652576092,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:58","end":"19:58","startHours":18.969021652576092,"endHours":19.969021652576092,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:58","end":"20:58","startHours":19.969021652576092,"endHours":20.969021652576092,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:58","end":"21:58","startHours":20.969021652576092,"endHours":21.969021652576092,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:58","end":"22:58","startHours":21.969021652576092,"endHours":22.969021652576092,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:58","end":"23:58","startHours":22.969021652576092,"endHours":23.969021652576092,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:58","end":"00:58","startHours":23.969021652576092,"endHours":24.969021652576092,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:58","end":"01:58","startHours":24.969021652576092,"endHours":25.969021652576092,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:58","end":"02:58","startHours":25.969021652576092,"endHours":26.969021652576092,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:58","end":"03:58","startHours":26.969021652576092,"endHours":27.969021652576092,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:58","end":"04:58","startHours":27.969021652576092,"endHours":28.969021652576092,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.483623923157952,"eotMinutes":0.9677634656409275,"ayanamsa":23.8712}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Dvādaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[],"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 April 20, 2001 CE · Berlin, Germany · Vidhyamitra","description":"April 20, 2001 CE for Berlin, Germany: Kṛṣṇa Dvādaśī, sūryodaya 04:58, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2001-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2001-04-20","sa":"https://sa.vidhyamitra.com/city/berlin/2001-04-20","hi":"https://hi.vidhyamitra.com/city/berlin/2001-04-20","x-default":"https://vidhyamitra.com/city/berlin/2001-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:28:05.454Z","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":"2026-06-01T19:28:05.454Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:28:05.454Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}