{"id":"vidhyamitra:city-day:berlin:2002-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2002-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-05-13","date_display":"May 13, 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":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452407.770833,"kali_year":5104,"ahargana":1863942.2708,"sun":{"sidereal_longitude":28.2325,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":35.2507,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.0182,"elapsed_within_tithi_degrees":7.0182},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.2507,"elapsed_within_degrees":8.584},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.4832},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452407.770833,"ahargana":1863942.2708,"kali_year":5104,"ayanamsa_lahiri":23.886,"grahas":{"sun":{"sidereal_longitude":28.242046000000016,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":35.064445999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-1.8372},"mars":{"sidereal_longitude":55.881845999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":45.97644600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":78.98784599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":57.07004599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":50.994245999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":59.3686,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.3686,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452407.770833,"kali_year":5104,"ahargana":1863942.2708,"sun":{"sidereal_longitude":28.2325,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":35.2507,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.0182,"elapsed_within_tithi_degrees":7.0182},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.2507,"elapsed_within_degrees":8.584},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.4832},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.837,"elongation":7.018},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.837,"opposition_distance":172.982}},"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":"04:14","sunsetLocal":"19:51","solarNoonLocal":"12:03","dayLengthHours":15.620960593946041,"dayLengthDisplay":"15 Hours 37 Mins 15 Secs","nightLengthDisplay":"8 Hours 22 Mins 45 Secs","moonriseLocal":"04:32","moonsetLocal":"20:27","rahuKala":{"name":"Rāhu Kāla","start":"06:11","end":"08:08","startHours":6.185915798210962,"endHours":8.138535872454217,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:05","end":"12:03","startHours":10.091155946697473,"endHours":12.043776020940726,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:00","end":"15:57","startHours":13.996396095183982,"endHours":15.949016169427239,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:53","end":"08:24","startHours":7.878186529221782,"endHours":8.39888521568665,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:18","startHours":4.884169082048791,"endHours":5.300728031220685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:34","startHours":11.52307733447586,"endHours":12.564474707405596,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:09","end":"03:12","startHours":2.150500978108234,"endHours":3.1918983510379704,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:56","end":"04:14","startHours":2.931549007805536,"endHours":4.233295723967706,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:41","startHours":14.647269453265068,"endHours":15.688666826194805,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:39","end":"20:03","startHours":19.65425631791375,"endHours":20.054256317913747,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:51","end":"20:30","startHours":19.854256317913748,"endHours":20.505129675994834,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:36","end":"21:21","startHours":19.604256317913748,"endHours":21.354256317913748,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:34","startHours":23.523077334475857,"endHours":24.564474707405594,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:14","end":"06:11","startHours":4.233295723967706,"endHours":6.185915798210962,"quality":"auspicious"},{"name":"Kāla","start":"06:11","end":"08:08","startHours":6.185915798210962,"endHours":8.138535872454217,"quality":"inauspicious"},{"name":"Śubha","start":"08:08","end":"10:05","startHours":8.138535872454217,"endHours":10.091155946697473,"quality":"auspicious"},{"name":"Roga","start":"10:05","end":"12:03","startHours":10.091155946697473,"endHours":12.043776020940726,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"14:00","startHours":12.043776020940726,"endHours":13.996396095183982,"quality":"inauspicious"},{"name":"Chala","start":"14:00","end":"15:57","startHours":13.996396095183982,"endHours":15.949016169427239,"quality":"neutral"},{"name":"Labha","start":"15:57","end":"17:54","startHours":15.949016169427239,"endHours":17.90163624367049,"quality":"auspicious"},{"name":"Amṛta","start":"17:54","end":"19:51","startHours":17.90163624367049,"endHours":19.854256317913748,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:51","end":"20:54","startHours":19.854256317913748,"endHours":20.90163624367049,"quality":"neutral"},{"name":"Labha","start":"20:54","end":"21:57","startHours":20.90163624367049,"endHours":21.94901616942724,"quality":"auspicious"},{"name":"Amṛta","start":"21:57","end":"23:00","startHours":21.94901616942724,"endHours":22.996396095183982,"quality":"auspicious"},{"name":"Kāla","start":"23:00","end":"00:03","startHours":22.996396095183982,"endHours":24.043776020940726,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:05","startHours":24.043776020940726,"endHours":25.091155946697473,"quality":"auspicious"},{"name":"Roga","start":"01:05","end":"02:08","startHours":25.091155946697473,"endHours":26.138535872454217,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:11","startHours":26.138535872454217,"endHours":27.185915798210964,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:14","startHours":27.185915798210964,"endHours":28.233295723967707,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:14","end":"05:14","startHours":4.233295723967706,"endHours":5.233295723967706,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:14","end":"06:14","startHours":5.233295723967706,"endHours":6.233295723967706,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:14","end":"07:14","startHours":6.233295723967706,"endHours":7.233295723967706,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:14","end":"08:14","startHours":7.233295723967706,"endHours":8.233295723967707,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:14","end":"09:14","startHours":8.233295723967707,"endHours":9.233295723967707,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:14","end":"10:14","startHours":9.233295723967707,"endHours":10.233295723967707,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:14","end":"11:14","startHours":10.233295723967707,"endHours":11.233295723967707,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:14","end":"12:14","startHours":11.233295723967707,"endHours":12.233295723967707,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:14","end":"13:14","startHours":12.233295723967707,"endHours":13.233295723967707,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:14","end":"14:14","startHours":13.233295723967707,"endHours":14.233295723967707,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:14","end":"15:14","startHours":14.233295723967707,"endHours":15.233295723967707,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:14","end":"16:14","startHours":15.233295723967707,"endHours":16.233295723967707,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:14","end":"17:14","startHours":16.233295723967707,"endHours":17.233295723967707,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:14","end":"18:14","startHours":17.233295723967707,"endHours":18.233295723967707,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:14","end":"19:14","startHours":18.233295723967707,"endHours":19.233295723967707,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:14","end":"20:14","startHours":19.233295723967707,"endHours":20.233295723967707,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:14","end":"21:14","startHours":20.233295723967707,"endHours":21.233295723967707,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:14","end":"22:14","startHours":21.233295723967707,"endHours":22.233295723967707,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:14","end":"23:14","startHours":22.233295723967707,"endHours":23.233295723967707,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:14","end":"00:14","startHours":23.233295723967707,"endHours":24.233295723967707,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:14","end":"01:14","startHours":24.233295723967707,"endHours":25.233295723967707,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:14","end":"02:14","startHours":25.233295723967707,"endHours":26.233295723967707,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:14","end":"03:14","startHours":26.233295723967707,"endHours":27.233295723967707,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:14","end":"04:14","startHours":27.233295723967707,"endHours":28.233295723967707,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.29827741293063,"eotMinutes":3.7534387435564067,"ayanamsa":23.886}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 May 13, 2002 CE · Berlin, Germany · Vidhyamitra","description":"May 13, 2002 CE for Berlin, Germany: Śukla Pratipada, sūryodaya 04:14, sūryāsta 19:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2002-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2002-05-13","sa":"https://sa.vidhyamitra.com/city/berlin/2002-05-13","hi":"https://hi.vidhyamitra.com/city/berlin/2002-05-13","x-default":"https://vidhyamitra.com/city/berlin/2002-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T11:05:22.431Z","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":"2026-05-17T11:05:22.431Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T11:05:22.431Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}