{"id":"vidhyamitra:city-day:berlin:2102-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2102-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-05-13","date_display":"May 13, 2102 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":2102,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488931.770833,"kali_year":5204,"ahargana":1900466.2708,"sun":{"sidereal_longitude":26.432,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":337.4991,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.0671,"elapsed_within_tithi_degrees":11.0671},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4991,"elapsed_within_degrees":4.1658},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.9312},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2102,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488931.770833,"ahargana":1900466.2708,"kali_year":5204,"ayanamsa_lahiri":25.2829,"grahas":{"sun":{"sidereal_longitude":26.66616099999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":338.029961,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.6089},"mars":{"sidereal_longitude":90.15966100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":8.295660999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":236.87836100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":349.292161,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":200.29466100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":284.1513,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":104.1513,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488931.770833,"kali_year":5204,"ahargana":1900466.2708,"sun":{"sidereal_longitude":26.432,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":337.4991,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.0671,"elapsed_within_tithi_degrees":11.0671},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4991,"elapsed_within_degrees":4.1658},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.9312},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.609,"elongation":48.933},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.609,"opposition_distance":131.067}},"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":15.610911005766607,"dayLengthDisplay":"15 Hours 36 Mins 39 Secs","nightLengthDisplay":"8 Hours 23 Mins 21 Secs","moonriseLocal":"02:37","moonsetLocal":"14:59","rahuKala":{"name":"Rāhu Kāla","start":"08:08","end":"10:06","startHours":8.141048269499075,"endHours":10.0924121452199,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:57","startHours":13.995139896661552,"endHours":15.946503772382378,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:14","end":"06:11","startHours":4.2383205180574235,"endHours":6.189684393778249,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:53","end":"08:24","startHours":7.880866419402965,"endHours":8.401230119595185,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:18","startHours":4.888775143297699,"endHours":5.305066103451475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:34","startHours":11.523412320748507,"endHours":12.564139721132948,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:09","end":"03:12","startHours":2.1568657172885426,"endHours":3.197593117672983,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:56","end":"04:14","startHours":2.9374112675768727,"endHours":4.2383205180574235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:41","startHours":14.645594521901828,"endHours":15.686321922286268,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:39","end":"20:03","startHours":19.64923152382403,"endHours":20.04923152382403,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:51","end":"20:30","startHours":19.84923152382403,"endHours":20.499686149064306,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:36","end":"21:21","startHours":19.59923152382403,"endHours":21.34923152382403,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:34","startHours":23.523412320748506,"endHours":24.564139721132946,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:14","end":"06:11","startHours":4.2383205180574235,"endHours":6.189684393778249,"quality":"inauspicious"},{"name":"Śubha","start":"06:11","end":"08:08","startHours":6.189684393778249,"endHours":8.141048269499075,"quality":"auspicious"},{"name":"Roga","start":"08:08","end":"10:06","startHours":8.141048269499075,"endHours":10.0924121452199,"quality":"inauspicious"},{"name":"Udveg","start":"10:06","end":"12:03","startHours":10.0924121452199,"endHours":12.043776020940726,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"14:00","startHours":12.043776020940726,"endHours":13.995139896661552,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:57","startHours":13.995139896661552,"endHours":15.946503772382378,"quality":"auspicious"},{"name":"Amṛta","start":"15:57","end":"17:54","startHours":15.946503772382378,"endHours":17.897867648103205,"quality":"auspicious"},{"name":"Kāla","start":"17:54","end":"19:51","startHours":17.897867648103205,"endHours":19.84923152382403,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:51","end":"20:54","startHours":19.84923152382403,"endHours":20.897867648103205,"quality":"auspicious"},{"name":"Amṛta","start":"20:54","end":"21:57","startHours":20.897867648103205,"endHours":21.94650377238238,"quality":"auspicious"},{"name":"Kāla","start":"21:57","end":"23:00","startHours":21.94650377238238,"endHours":22.995139896661552,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:03","startHours":22.995139896661552,"endHours":24.043776020940726,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:06","startHours":24.043776020940726,"endHours":25.092412145219903,"quality":"inauspicious"},{"name":"Udveg","start":"01:06","end":"02:08","startHours":25.092412145219903,"endHours":26.141048269499077,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:11","startHours":26.141048269499077,"endHours":27.18968439377825,"quality":"neutral"},{"name":"Labha","start":"03:11","end":"04:14","startHours":27.18968439377825,"endHours":28.238320518057424,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:14","end":"05:14","startHours":4.2383205180574235,"endHours":5.2383205180574235,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:14","end":"06:14","startHours":5.2383205180574235,"endHours":6.2383205180574235,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:14","end":"07:14","startHours":6.2383205180574235,"endHours":7.2383205180574235,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:14","end":"08:14","startHours":7.2383205180574235,"endHours":8.238320518057424,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:14","end":"09:14","startHours":8.238320518057424,"endHours":9.238320518057424,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:14","end":"10:14","startHours":9.238320518057424,"endHours":10.238320518057424,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:14","end":"11:14","startHours":10.238320518057424,"endHours":11.238320518057424,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:14","end":"12:14","startHours":11.238320518057424,"endHours":12.238320518057424,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:14","end":"13:14","startHours":12.238320518057424,"endHours":13.238320518057424,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:14","end":"14:14","startHours":13.238320518057424,"endHours":14.238320518057424,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:14","end":"15:14","startHours":14.238320518057424,"endHours":15.238320518057424,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:14","end":"16:14","startHours":15.238320518057424,"endHours":16.238320518057424,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:14","end":"17:14","startHours":16.238320518057424,"endHours":17.238320518057424,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:14","end":"18:14","startHours":17.238320518057424,"endHours":18.238320518057424,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:14","end":"19:14","startHours":18.238320518057424,"endHours":19.238320518057424,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:14","end":"20:14","startHours":19.238320518057424,"endHours":20.238320518057424,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:14","end":"21:14","startHours":20.238320518057424,"endHours":21.238320518057424,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:14","end":"22:14","startHours":21.238320518057424,"endHours":22.238320518057424,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:14","end":"23:14","startHours":22.238320518057424,"endHours":23.238320518057424,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:14","end":"00:14","startHours":23.238320518057424,"endHours":24.238320518057424,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:14","end":"01:14","startHours":24.238320518057424,"endHours":25.238320518057424,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:14","end":"02:14","startHours":25.238320518057424,"endHours":26.238320518057424,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:14","end":"03:14","startHours":26.238320518057424,"endHours":27.238320518057424,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:14","end":"04:14","startHours":27.238320518057424,"endHours":28.238320518057424,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","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":18.25216134892639,"eotMinutes":3.7534387435564067,"ayanamsa":25.2829}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 May 13, 2102 CE · Berlin, Germany · Vidhyamitra","description":"May 13, 2102 CE for Berlin, Germany: Kṛṣṇa Ekādaśī, sūryodaya 04:14, sūryāsta 19:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2102-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2102-05-13","sa":"https://sa.vidhyamitra.com/city/berlin/2102-05-13","hi":"https://hi.vidhyamitra.com/city/berlin/2102-05-13","x-default":"https://vidhyamitra.com/city/berlin/2102-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T08:46:49.450Z","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":"2026-06-03T08:46:49.450Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T08:46:49.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}