{"id":"vidhyamitra:city-day:berlin:2003-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2003-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-11-13","date_display":"November 13, 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":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452956.770833,"kali_year":5105,"ahargana":1864491.2708,"sun":{"sidereal_longitude":205.6963,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.6766,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9804,"elapsed_within_tithi_degrees":10.9804},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.6766,"elapsed_within_degrees":6.01},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.3729},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452956.770833,"ahargana":1864491.2708,"kali_year":5105,"ayanamsa_lahiri":23.907,"grahas":{"sun":{"sidereal_longitude":206.33177,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":69.46807000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.0325},"mars":{"sidereal_longitude":318.3411699999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":217.12257,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":141.05026999999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":228.67317000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.93097,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":30.2799,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":210.2799,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452956.770833,"kali_year":5105,"ahargana":1864491.2708,"sun":{"sidereal_longitude":205.6963,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":72.6766,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.9804,"elapsed_within_tithi_degrees":10.9804},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":72.6766,"elapsed_within_degrees":6.01},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.3729},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.032,"elongation":133.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.032,"opposition_distance":46.98}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-0.607,"opposition_distance":1.076},{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":-0.629,"elongation":0.882}]},"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":"07:24","sunsetLocal":"16:18","solarNoonLocal":"11:51","dayLengthHours":8.908666066044894,"dayLengthDisplay":"8 Hours 54 Mins 31 Secs","nightLengthDisplay":"15 Hours 05 Mins 29 Secs","moonriseLocal":"18:21","moonsetLocal":"11:06","rahuKala":{"name":"Rāhu Kāla","start":"12:58","end":"14:05","startHours":12.965586578014648,"endHours":14.079169836270259,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:24","end":"08:31","startHours":7.397670286736588,"endHours":8.5112535449922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:37","end":"10:44","startHours":9.624836803247812,"endHours":10.738420061503422,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:46","startHours":9.476359035480396,"endHours":9.773314571015227,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:46","end":"08:00","startHours":7.768864706155125,"endHours":8.006429134582989,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:09","startHours":11.555047784224206,"endHours":12.148958855293865,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:48","startHours":6.209848144597268,"endHours":6.803759215666928,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:39","end":"07:24","startHours":6.6552814478995135,"endHours":7.397670286736588,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:20","end":"13:56","startHours":13.336780997433184,"endHours":13.930692068502843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:06","end":"16:30","startHours":16.106336352781483,"endHours":16.50633635278148,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:18","end":"16:41","startHours":16.306336352781482,"endHours":16.67753077220002,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:03","end":"17:48","startHours":16.056336352781482,"endHours":17.806336352781482,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:09","startHours":23.555047784224204,"endHours":24.148958855293866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:24","end":"08:31","startHours":7.397670286736588,"endHours":8.5112535449922,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:37","startHours":8.5112535449922,"endHours":9.624836803247812,"quality":"inauspicious"},{"name":"Udveg","start":"09:37","end":"10:44","startHours":9.624836803247812,"endHours":10.738420061503422,"quality":"inauspicious"},{"name":"Chala","start":"10:44","end":"11:51","startHours":10.738420061503422,"endHours":11.852003319759035,"quality":"neutral"},{"name":"Labha","start":"11:51","end":"12:58","startHours":11.852003319759035,"endHours":12.965586578014648,"quality":"auspicious"},{"name":"Amṛta","start":"12:58","end":"14:05","startHours":12.965586578014648,"endHours":14.079169836270259,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:12","startHours":14.079169836270259,"endHours":15.19275309452587,"quality":"inauspicious"},{"name":"Śubha","start":"15:12","end":"16:18","startHours":15.19275309452587,"endHours":16.306336352781482,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:18","end":"18:12","startHours":16.306336352781482,"endHours":18.19275309452587,"quality":"auspicious"},{"name":"Kāla","start":"18:12","end":"20:05","startHours":18.19275309452587,"endHours":20.07916983627026,"quality":"inauspicious"},{"name":"Śubha","start":"20:05","end":"21:58","startHours":20.07916983627026,"endHours":21.965586578014648,"quality":"auspicious"},{"name":"Roga","start":"21:58","end":"23:51","startHours":21.965586578014648,"endHours":23.852003319759035,"quality":"inauspicious"},{"name":"Udveg","start":"23:51","end":"01:44","startHours":23.852003319759035,"endHours":25.738420061503422,"quality":"inauspicious"},{"name":"Chala","start":"01:44","end":"03:37","startHours":25.738420061503422,"endHours":27.62483680324781,"quality":"neutral"},{"name":"Labha","start":"03:37","end":"05:31","startHours":27.62483680324781,"endHours":29.5112535449922,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:24","startHours":29.5112535449922,"endHours":31.397670286736588,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:24","end":"08:24","startHours":7.397670286736588,"endHours":8.397670286736588,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:24","end":"09:24","startHours":8.397670286736588,"endHours":9.397670286736588,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:24","end":"10:24","startHours":9.397670286736588,"endHours":10.397670286736588,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:24","end":"11:24","startHours":10.397670286736588,"endHours":11.397670286736588,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:24","end":"12:24","startHours":11.397670286736588,"endHours":12.397670286736588,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:24","end":"13:24","startHours":12.397670286736588,"endHours":13.397670286736588,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:24","end":"14:24","startHours":13.397670286736588,"endHours":14.397670286736588,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:24","end":"15:24","startHours":14.397670286736588,"endHours":15.397670286736588,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:24","end":"16:24","startHours":15.397670286736588,"endHours":16.397670286736588,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:24","end":"17:24","startHours":16.397670286736588,"endHours":17.397670286736588,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:24","end":"18:24","startHours":17.397670286736588,"endHours":18.397670286736588,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:24","end":"19:24","startHours":18.397670286736588,"endHours":19.397670286736588,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:24","end":"20:24","startHours":19.397670286736588,"endHours":20.397670286736588,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:24","end":"21:24","startHours":20.397670286736588,"endHours":21.397670286736588,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:24","end":"22:24","startHours":21.397670286736588,"endHours":22.397670286736588,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:24","end":"23:24","startHours":22.397670286736588,"endHours":23.397670286736588,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:24","end":"00:24","startHours":23.397670286736588,"endHours":24.397670286736588,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:24","end":"01:24","startHours":24.397670286736588,"endHours":25.397670286736588,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:24","end":"02:24","startHours":25.397670286736588,"endHours":26.397670286736588,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:24","end":"03:24","startHours":26.397670286736588,"endHours":27.397670286736588,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:24","end":"04:24","startHours":27.397670286736588,"endHours":28.397670286736588,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:24","end":"05:24","startHours":28.397670286736588,"endHours":29.397670286736588,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:24","end":"06:24","startHours":29.397670286736588,"endHours":30.397670286736588,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:24","end":"07:24","startHours":30.397670286736588,"endHours":31.397670286736588,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.802900248325216,"eotMinutes":15.25980081445791,"ayanamsa":23.907}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 November 13, 2003 CE · Berlin, Germany · Vidhyamitra","description":"November 13, 2003 CE for Berlin, Germany: Kṛṣṇa Caturthī, sūryodaya 07:24, sūryāsta 16:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2003-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2003-11-13","sa":"https://sa.vidhyamitra.com/city/berlin/2003-11-13","hi":"https://hi.vidhyamitra.com/city/berlin/2003-11-13","x-default":"https://vidhyamitra.com/city/berlin/2003-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:25:46.910Z","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":"2026-06-01T03:25:46.910Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:25:46.910Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}