{"id":"vidhyamitra:city-day:berlin:2018-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2018-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-05-13","date_display":"May 13, 2018 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":2018,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458251.770833,"kali_year":5120,"ahargana":1869786.2708,"sun":{"sidereal_longitude":28.098,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":355.9179,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.8198,"elapsed_within_tithi_degrees":3.8198},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.9179,"elapsed_within_degrees":9.2512},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.0159},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2018,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458251.770833,"ahargana":1869786.2708,"kali_year":5120,"ayanamsa_lahiri":24.1095,"grahas":{"sun":{"sidereal_longitude":28.144461999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":356.103862,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-4.1164},"mars":{"sidereal_longitude":274.3711619999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":4.715362000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":203.574162,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":57.841162,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":254.41966200000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":109.7253,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.7253,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2018,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458251.770833,"kali_year":5120,"ahargana":1869786.2708,"sun":{"sidereal_longitude":28.098,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":355.9179,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.8198,"elapsed_within_tithi_degrees":3.8198},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.9179,"elapsed_within_degrees":9.2512},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.0159},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.116,"elongation":32.18},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.116,"opposition_distance":147.82}},"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":15.628015266104232,"dayLengthDisplay":"15 Hours 37 Mins 41 Secs","nightLengthDisplay":"8 Hours 22 Mins 19 Secs","moonriseLocal":"03:09","moonsetLocal":"16:40","rahuKala":{"name":"Rāhu Kāla","start":"17:54","end":"19:51","startHours":17.904281745729815,"endHours":19.857783653992843,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:03","end":"14:00","startHours":12.043776020940728,"endHours":13.997277929203756,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:57","end":"17:54","startHours":15.950779837466786,"endHours":17.904281745729815,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:53","end":"08:24","startHours":7.876305283312933,"endHours":8.397239125516407,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:53","end":"05:18","startHours":4.880935690642955,"endHours":5.297682764405735,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:34","startHours":11.522842178737253,"endHours":12.564709863144202,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:09","end":"03:11","startHours":2.1460330190747143,"endHours":3.187900703481663,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:56","end":"04:14","startHours":2.927433782379926,"endHours":4.229768387888612,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:41","startHours":14.6484452319581,"endHours":15.690312916365048,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:39","end":"20:03","startHours":19.657783653992844,"endHours":20.057783653992843,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:51","end":"20:31","startHours":19.857783653992843,"endHours":20.508950956747185,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:36","end":"21:21","startHours":19.607783653992843,"endHours":21.357783653992843,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:34","startHours":23.52284217873725,"endHours":24.564709863144202,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:14","end":"06:11","startHours":4.229768387888612,"endHours":6.18327029615164,"quality":"inauspicious"},{"name":"Chala","start":"06:11","end":"08:08","startHours":6.18327029615164,"endHours":8.136772204414669,"quality":"neutral"},{"name":"Labha","start":"08:08","end":"10:05","startHours":8.136772204414669,"endHours":10.0902741126777,"quality":"auspicious"},{"name":"Amṛta","start":"10:05","end":"12:03","startHours":10.0902741126777,"endHours":12.043776020940728,"quality":"auspicious"},{"name":"Kāla","start":"12:03","end":"14:00","startHours":12.043776020940728,"endHours":13.997277929203756,"quality":"inauspicious"},{"name":"Śubha","start":"14:00","end":"15:57","startHours":13.997277929203756,"endHours":15.950779837466786,"quality":"auspicious"},{"name":"Roga","start":"15:57","end":"17:54","startHours":15.950779837466786,"endHours":17.904281745729815,"quality":"inauspicious"},{"name":"Udveg","start":"17:54","end":"19:51","startHours":17.904281745729815,"endHours":19.857783653992843,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:51","end":"20:54","startHours":19.857783653992843,"endHours":20.904281745729815,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"21:57","startHours":20.904281745729815,"endHours":21.950779837466786,"quality":"inauspicious"},{"name":"Udveg","start":"21:57","end":"23:00","startHours":21.950779837466786,"endHours":22.997277929203758,"quality":"inauspicious"},{"name":"Chala","start":"23:00","end":"00:03","startHours":22.997277929203758,"endHours":24.043776020940726,"quality":"neutral"},{"name":"Labha","start":"00:03","end":"01:05","startHours":24.043776020940726,"endHours":25.090274112677697,"quality":"auspicious"},{"name":"Amṛta","start":"01:05","end":"02:08","startHours":25.090274112677697,"endHours":26.13677220441467,"quality":"auspicious"},{"name":"Kāla","start":"02:08","end":"03:11","startHours":26.13677220441467,"endHours":27.18327029615164,"quality":"inauspicious"},{"name":"Śubha","start":"03:11","end":"04:14","startHours":27.18327029615164,"endHours":28.229768387888612,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:14","end":"05:14","startHours":4.229768387888612,"endHours":5.229768387888612,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:14","end":"06:14","startHours":5.229768387888612,"endHours":6.229768387888612,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:14","end":"07:14","startHours":6.229768387888612,"endHours":7.229768387888612,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:14","end":"08:14","startHours":7.229768387888612,"endHours":8.229768387888612,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:14","end":"09:14","startHours":8.229768387888612,"endHours":9.229768387888612,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:14","end":"10:14","startHours":9.229768387888612,"endHours":10.229768387888612,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:14","end":"11:14","startHours":10.229768387888612,"endHours":11.229768387888612,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:14","end":"12:14","startHours":11.229768387888612,"endHours":12.229768387888612,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:14","end":"13:14","startHours":12.229768387888612,"endHours":13.229768387888612,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:14","end":"14:14","startHours":13.229768387888612,"endHours":14.229768387888612,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:14","end":"15:14","startHours":14.229768387888612,"endHours":15.229768387888612,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:14","end":"16:14","startHours":15.229768387888612,"endHours":16.229768387888612,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:14","end":"17:14","startHours":16.229768387888612,"endHours":17.229768387888612,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:14","end":"18:14","startHours":17.229768387888612,"endHours":18.229768387888612,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:14","end":"19:14","startHours":18.229768387888612,"endHours":19.229768387888612,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:14","end":"20:14","startHours":19.229768387888612,"endHours":20.229768387888612,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:14","end":"21:14","startHours":20.229768387888612,"endHours":21.229768387888612,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:14","end":"22:14","startHours":21.229768387888612,"endHours":22.229768387888612,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:14","end":"23:14","startHours":22.229768387888612,"endHours":23.229768387888612,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:14","end":"00:14","startHours":23.229768387888612,"endHours":24.229768387888612,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:14","end":"01:14","startHours":24.229768387888612,"endHours":25.229768387888612,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:14","end":"02:14","startHours":25.229768387888612,"endHours":26.229768387888612,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:14","end":"03:14","startHours":26.229768387888612,"endHours":27.229768387888612,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:14","end":"04:14","startHours":27.229768387888612,"endHours":28.229768387888612,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","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":18.330616647586375,"eotMinutes":3.7534387435564067,"ayanamsa":24.1095}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Trayodaśī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"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},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2018 CE · Berlin, Germany · Vidhyamitra","description":"May 13, 2018 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 04:14, sūryāsta 19:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2018-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2018-05-13","sa":"https://sa.vidhyamitra.com/city/berlin/2018-05-13","hi":"https://hi.vidhyamitra.com/city/berlin/2018-05-13","x-default":"https://vidhyamitra.com/city/berlin/2018-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:35:12.655Z","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":"2026-05-15T13:35:12.655Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:35:12.655Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}