{"id":"vidhyamitra:city-day:berlin:2011-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2011-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-04-16","date_display":"April 16, 2011 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":2011,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455667.770833,"kali_year":5112,"ahargana":1867202.2708,"sun":{"sidereal_longitude":1.8061,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":154.1674,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.3613,"elapsed_within_tithi_degrees":8.3613},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.1674,"elapsed_within_degrees":7.5008},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.9735},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2011,"month":4,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455667.770833,"ahargana":1867202.2708,"kali_year":5112,"ayanamsa_lahiri":24.0107,"grahas":{"sun":{"sidereal_longitude":1.704589999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":152.23499000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-4.4958},"mars":{"sidereal_longitude":346.54599,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":351.11649,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":354.71659,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":329.65909,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":168.71009000000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":246.6381,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":66.6381,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2011,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455667.770833,"kali_year":5112,"ahargana":1867202.2708,"sun":{"sidereal_longitude":1.8061,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":154.1674,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.3613,"elapsed_within_tithi_degrees":8.3613},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.1674,"elapsed_within_degrees":7.5008},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.9735},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":152.361},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":27.639}},"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":"05:08","sunsetLocal":"19:05","solarNoonLocal":"12:06","dayLengthHours":13.952059945687793,"dayLengthDisplay":"13 Hours 57 Mins 07 Secs","nightLengthDisplay":"10 Hours 02 Mins 53 Secs","moonriseLocal":"15:57","moonsetLocal":"04:20","rahuKala":{"name":"Rāhu Kāla","start":"08:37","end":"10:22","startHours":8.618063494968077,"endHours":10.362070988179052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:51","end":"15:36","startHours":13.850085974601,"endHours":15.594093467811973,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:08","end":"06:52","startHours":5.130048508546129,"endHours":6.874056001757103,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:51","startHours":8.385529162539948,"endHours":8.850597827396207,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:43","end":"06:05","startHours":5.711384339616454,"endHours":6.083439271501462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:34","startHours":11.641009816533765,"endHours":12.571147146246284,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:16","end":"04:12","startHours":3.26977384912109,"endHours":4.199911178833609,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:58","end":"05:08","startHours":3.9673768464054797,"endHours":5.130048508546129,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:22","startHours":14.431421805671324,"endHours":15.361559135383843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.882108454233922,"endHours":19.28210845423392,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:40","startHours":19.08210845423392,"endHours":19.663444285304244,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.83210845423392,"endHours":20.58210845423392,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:34","startHours":23.641009816533764,"endHours":24.571147146246286,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:08","end":"06:52","startHours":5.130048508546129,"endHours":6.874056001757103,"quality":"inauspicious"},{"name":"Śubha","start":"06:52","end":"08:37","startHours":6.874056001757103,"endHours":8.618063494968077,"quality":"auspicious"},{"name":"Roga","start":"08:37","end":"10:22","startHours":8.618063494968077,"endHours":10.362070988179052,"quality":"inauspicious"},{"name":"Udveg","start":"10:22","end":"12:06","startHours":10.362070988179052,"endHours":12.106078481390025,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:51","startHours":12.106078481390025,"endHours":13.850085974601,"quality":"neutral"},{"name":"Labha","start":"13:51","end":"15:36","startHours":13.850085974601,"endHours":15.594093467811973,"quality":"auspicious"},{"name":"Amṛta","start":"15:36","end":"17:20","startHours":15.594093467811973,"endHours":17.33810096102295,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"19:05","startHours":17.33810096102295,"endHours":19.08210845423392,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:05","end":"20:20","startHours":19.08210845423392,"endHours":20.338100961022946,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:36","startHours":20.338100961022946,"endHours":21.594093467811973,"quality":"auspicious"},{"name":"Kāla","start":"21:36","end":"22:51","startHours":21.594093467811973,"endHours":22.850085974601,"quality":"inauspicious"},{"name":"Śubha","start":"22:51","end":"00:06","startHours":22.850085974601,"endHours":24.106078481390025,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:22","startHours":24.106078481390025,"endHours":25.36207098817905,"quality":"inauspicious"},{"name":"Udveg","start":"01:22","end":"02:37","startHours":25.36207098817905,"endHours":26.618063494968077,"quality":"inauspicious"},{"name":"Chala","start":"02:37","end":"03:52","startHours":26.618063494968077,"endHours":27.874056001757104,"quality":"neutral"},{"name":"Labha","start":"03:52","end":"05:08","startHours":27.874056001757104,"endHours":29.13004850854613,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.130048508546129,"endHours":6.130048508546129,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.130048508546129,"endHours":7.130048508546129,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.130048508546129,"endHours":8.130048508546128,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.130048508546128,"endHours":9.130048508546128,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.130048508546128,"endHours":10.130048508546128,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.130048508546128,"endHours":11.130048508546128,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.130048508546128,"endHours":12.130048508546128,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.130048508546128,"endHours":13.130048508546128,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.130048508546128,"endHours":14.130048508546128,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.130048508546128,"endHours":15.130048508546128,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.130048508546128,"endHours":16.13004850854613,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.13004850854613,"endHours":17.13004850854613,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.13004850854613,"endHours":18.13004850854613,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.13004850854613,"endHours":19.13004850854613,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.13004850854613,"endHours":20.13004850854613,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.13004850854613,"endHours":21.13004850854613,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.13004850854613,"endHours":22.13004850854613,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.13004850854613,"endHours":23.13004850854613,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.13004850854613,"endHours":24.13004850854613,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.13004850854613,"endHours":25.13004850854613,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.13004850854613,"endHours":26.13004850854613,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.13004850854613,"endHours":27.13004850854613,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.13004850854613,"endHours":28.13004850854613,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.13004850854613,"endHours":29.13004850854613,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.937622882989947,"eotMinutes":0.015291116598477705,"ayanamsa":24.0107}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","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":"Caitra Śukla Trayodaśī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 16, 2011 CE · Berlin, Germany · Vidhyamitra","description":"April 16, 2011 CE for Berlin, Germany: Śukla Trayodaśī, sūryodaya 05:08, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2011-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2011-04-16","sa":"https://sa.vidhyamitra.com/city/berlin/2011-04-16","hi":"https://hi.vidhyamitra.com/city/berlin/2011-04-16","x-default":"https://vidhyamitra.com/city/berlin/2011-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:13:53.439Z","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":"2026-06-01T02:13:53.439Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:13:53.439Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}