{"id":"vidhyamitra:city-day:berlin:2003-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2003-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-04-30","date_display":"April 30, 2003 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":2003,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452759.770833,"kali_year":5105,"ahargana":1864294.2708,"sun":{"sidereal_longitude":15.4657,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":359.3245,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.8588,"elapsed_within_tithi_degrees":7.8588},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.3245,"elapsed_within_degrees":12.6578},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.7902},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2003,"month":4,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452759.770833,"ahargana":1864294.2708,"kali_year":5105,"ayanamsa_lahiri":23.8995,"grahas":{"sun":{"sidereal_longitude":15.405697000000032,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":359.526897,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-2.9738},"mars":{"sidereal_longitude":280.8331969999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":26.278997000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":105.13869699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":346.20869700000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":61.92359699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":40.7179,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.7179,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2003,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452759.770833,"kali_year":5105,"ahargana":1864294.2708,"sun":{"sidereal_longitude":15.4657,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":359.3245,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.8588,"elapsed_within_tithi_degrees":7.8588},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.3245,"elapsed_within_degrees":12.6578},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.7902},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.974,"elongation":16.141},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.974,"opposition_distance":163.859}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":0.804,"opposition_distance":1.295}]},"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":"04:38","sunsetLocal":"19:29","solarNoonLocal":"12:04","dayLengthHours":14.847933685266776,"dayLengthDisplay":"14 Hours 50 Mins 53 Secs","nightLengthDisplay":"9 Hours 09 Mins 07 Secs","moonriseLocal":"04:08","moonsetLocal":"17:52","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:55","startHours":12.059908980179966,"endHours":13.915900690838312,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"08:21","startHours":6.491933848204924,"endHours":8.34792555886327,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:12","end":"12:04","startHours":10.203917269521618,"endHours":12.059908980179966,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:06","end":"08:36","startHours":8.100459997442158,"endHours":8.595391120284383,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:15","end":"05:39","startHours":5.254606041099359,"endHours":5.65055093937314,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:33","startHours":11.564977857337738,"endHours":12.55484010302219,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:39","end":"03:39","startHours":2.6562176461776734,"endHours":3.646079891862125,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:24","end":"04:38","startHours":3.398614330441012,"endHours":4.635942137546577,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:31","startHours":14.534564594391094,"endHours":15.524426840075545,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:17","end":"19:41","startHours":19.283875822813354,"endHours":19.683875822813352,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:29","end":"20:06","startHours":19.483875822813353,"endHours":20.102539726366135,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:14","end":"20:59","startHours":19.233875822813353,"endHours":20.983875822813353,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:33","startHours":23.564977857337738,"endHours":24.554840103022187,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:38","end":"06:30","startHours":4.635942137546577,"endHours":6.491933848204924,"quality":"auspicious"},{"name":"Amṛta","start":"06:30","end":"08:21","startHours":6.491933848204924,"endHours":8.34792555886327,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"10:12","startHours":8.34792555886327,"endHours":10.203917269521618,"quality":"inauspicious"},{"name":"Śubha","start":"10:12","end":"12:04","startHours":10.203917269521618,"endHours":12.059908980179966,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:55","startHours":12.059908980179966,"endHours":13.915900690838312,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:46","startHours":13.915900690838312,"endHours":15.77189240149666,"quality":"inauspicious"},{"name":"Chala","start":"15:46","end":"17:38","startHours":15.77189240149666,"endHours":17.627884112155005,"quality":"neutral"},{"name":"Labha","start":"17:38","end":"19:29","startHours":17.627884112155005,"endHours":19.483875822813353,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:29","end":"20:38","startHours":19.483875822813353,"endHours":20.627884112155005,"quality":"inauspicious"},{"name":"Chala","start":"20:38","end":"21:46","startHours":20.627884112155005,"endHours":21.771892401496657,"quality":"neutral"},{"name":"Labha","start":"21:46","end":"22:55","startHours":21.771892401496657,"endHours":22.915900690838313,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:04","startHours":22.915900690838313,"endHours":24.059908980179966,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:12","startHours":24.059908980179966,"endHours":25.203917269521618,"quality":"inauspicious"},{"name":"Śubha","start":"01:12","end":"02:21","startHours":25.203917269521618,"endHours":26.34792555886327,"quality":"auspicious"},{"name":"Roga","start":"02:21","end":"03:30","startHours":26.34792555886327,"endHours":27.491933848204923,"quality":"inauspicious"},{"name":"Udveg","start":"03:30","end":"04:38","startHours":27.491933848204923,"endHours":28.63594213754658,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:38","end":"05:38","startHours":4.635942137546577,"endHours":5.635942137546577,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:38","end":"06:38","startHours":5.635942137546577,"endHours":6.635942137546577,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:38","end":"07:38","startHours":6.635942137546577,"endHours":7.635942137546577,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:38","end":"08:38","startHours":7.635942137546577,"endHours":8.635942137546577,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:38","end":"09:38","startHours":8.635942137546577,"endHours":9.635942137546577,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:38","end":"10:38","startHours":9.635942137546577,"endHours":10.635942137546577,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:38","end":"11:38","startHours":10.635942137546577,"endHours":11.635942137546577,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:38","end":"12:38","startHours":11.635942137546577,"endHours":12.635942137546577,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:38","end":"13:38","startHours":12.635942137546577,"endHours":13.635942137546577,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:38","end":"14:38","startHours":13.635942137546577,"endHours":14.635942137546577,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:38","end":"15:38","startHours":14.635942137546577,"endHours":15.635942137546577,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:38","end":"16:38","startHours":15.635942137546577,"endHours":16.63594213754658,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:38","end":"17:38","startHours":16.63594213754658,"endHours":17.63594213754658,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:38","end":"18:38","startHours":17.63594213754658,"endHours":18.63594213754658,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:38","end":"19:38","startHours":18.63594213754658,"endHours":19.63594213754658,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:38","end":"20:38","startHours":19.63594213754658,"endHours":20.63594213754658,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:38","end":"21:38","startHours":20.63594213754658,"endHours":21.63594213754658,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:38","end":"22:38","startHours":21.63594213754658,"endHours":22.63594213754658,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:38","end":"23:38","startHours":22.63594213754658,"endHours":23.63594213754658,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:38","end":"00:38","startHours":23.63594213754658,"endHours":24.63594213754658,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:38","end":"01:38","startHours":24.63594213754658,"endHours":25.63594213754658,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:38","end":"02:38","startHours":25.63594213754658,"endHours":26.63594213754658,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:38","end":"03:38","startHours":26.63594213754658,"endHours":27.63594213754658,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:38","end":"04:38","startHours":27.63594213754658,"endHours":28.63594213754658,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.592580891224287,"eotMinutes":2.785461189202204,"ayanamsa":23.8995}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"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 Caturdaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 30, 2003 CE · Berlin, Germany · Vidhyamitra","description":"April 30, 2003 CE for Berlin, Germany: Kṛṣṇa Caturdaśī, sūryodaya 04:38, sūryāsta 19:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2003-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2003-04-30","sa":"https://sa.vidhyamitra.com/city/berlin/2003-04-30","hi":"https://hi.vidhyamitra.com/city/berlin/2003-04-30","x-default":"https://vidhyamitra.com/city/berlin/2003-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:36:43.437Z","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":"2026-06-01T14:36:43.437Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:36:43.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}