{"id":"vidhyamitra:city-day:berlin:2157-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2157-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-18","date_display":"August 18, 2157 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":2157,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509117.770833,"kali_year":5259,"ahargana":1920652.2708,"sun":{"sidereal_longitude":118.4091,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":264.1286,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.7196,"elapsed_within_tithi_degrees":1.7196},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.1286,"elapsed_within_degrees":10.7953},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.5377},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2157,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509117.770833,"ahargana":1920652.2708,"kali_year":5259,"ayanamsa_lahiri":26.0549,"grahas":{"sun":{"sidereal_longitude":119.40870699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":264.749907,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.2802},"mars":{"sidereal_longitude":205.77700700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":99.59400699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":116.08970699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":160.889407,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":154.17180699999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.5999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.5999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509117.770833,"kali_year":5259,"ahargana":1920652.2708,"sun":{"sidereal_longitude":118.4091,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":264.1286,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.7196,"elapsed_within_tithi_degrees":1.7196},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.1286,"elapsed_within_degrees":10.7953},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.5377},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.28,"elongation":145.72},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.28,"opposition_distance":34.28}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"04:54","sunsetLocal":"19:26","solarNoonLocal":"12:10","dayLengthHours":14.539808382550998,"dayLengthDisplay":"14 Hours 32 Mins 23 Secs","nightLengthDisplay":"9 Hours 27 Mins 37 Secs","moonriseLocal":"17:52","moonsetLocal":"01:50","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:48","startHours":13.982610343167384,"endHours":15.800086390986255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:54","end":"06:43","startHours":4.895230104073009,"endHours":6.712706151891883,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:32","end":"10:21","startHours":8.530182199710758,"endHours":10.347658247529633,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:17","end":"08:46","startHours":8.287852060001574,"endHours":8.772512339419942,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:30","end":"05:53","startHours":5.501055453345967,"endHours":5.88878367688066,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:39","startHours":11.68047401593014,"endHours":12.649794574766874,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:57","end":"03:56","startHours":2.9565889863995425,"endHours":3.9259095452362756,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:41","end":"04:54","startHours":3.683579405527092,"endHours":4.895230104073009,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:33","startHours":14.588435692440342,"endHours":15.557756251277075,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:14","end":"19:38","startHours":19.235038486624006,"endHours":19.635038486624005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:26","end":"20:02","startHours":19.435038486624006,"endHours":20.040863835896964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:11","end":"20:56","startHours":19.185038486624006,"endHours":20.935038486624006,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:39","startHours":23.68047401593014,"endHours":24.649794574766876,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:54","end":"06:43","startHours":4.895230104073009,"endHours":6.712706151891883,"quality":"auspicious"},{"name":"Roga","start":"06:43","end":"08:32","startHours":6.712706151891883,"endHours":8.530182199710758,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"10:21","startHours":8.530182199710758,"endHours":10.347658247529633,"quality":"inauspicious"},{"name":"Chala","start":"10:21","end":"12:10","startHours":10.347658247529633,"endHours":12.165134295348508,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:59","startHours":12.165134295348508,"endHours":13.982610343167384,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:48","startHours":13.982610343167384,"endHours":15.800086390986255,"quality":"auspicious"},{"name":"Kāla","start":"15:48","end":"17:37","startHours":15.800086390986255,"endHours":17.61756243880513,"quality":"inauspicious"},{"name":"Śubha","start":"17:37","end":"19:26","startHours":17.61756243880513,"endHours":19.435038486624006,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:26","end":"20:37","startHours":19.435038486624006,"endHours":20.61756243880513,"quality":"auspicious"},{"name":"Kāla","start":"20:37","end":"21:48","startHours":20.61756243880513,"endHours":21.800086390986255,"quality":"inauspicious"},{"name":"Śubha","start":"21:48","end":"22:59","startHours":21.800086390986255,"endHours":22.98261034316738,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:10","startHours":22.98261034316738,"endHours":24.16513429534851,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:21","startHours":24.16513429534851,"endHours":25.34765824752963,"quality":"inauspicious"},{"name":"Chala","start":"01:21","end":"02:32","startHours":25.34765824752963,"endHours":26.530182199710758,"quality":"neutral"},{"name":"Labha","start":"02:32","end":"03:43","startHours":26.530182199710758,"endHours":27.712706151891883,"quality":"auspicious"},{"name":"Amṛta","start":"03:43","end":"04:54","startHours":27.712706151891883,"endHours":28.895230104073008,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:54","end":"05:54","startHours":4.895230104073009,"endHours":5.895230104073009,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:54","end":"06:54","startHours":5.895230104073009,"endHours":6.895230104073009,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:54","end":"07:54","startHours":6.895230104073009,"endHours":7.895230104073009,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:54","end":"08:54","startHours":7.895230104073009,"endHours":8.895230104073008,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:54","end":"09:54","startHours":8.895230104073008,"endHours":9.895230104073008,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:54","end":"10:54","startHours":9.895230104073008,"endHours":10.895230104073008,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:54","end":"11:54","startHours":10.895230104073008,"endHours":11.895230104073008,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:54","end":"12:54","startHours":11.895230104073008,"endHours":12.895230104073008,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:54","end":"13:54","startHours":12.895230104073008,"endHours":13.895230104073008,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:54","end":"14:54","startHours":13.895230104073008,"endHours":14.895230104073008,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:54","end":"15:54","startHours":14.895230104073008,"endHours":15.895230104073008,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:54","end":"16:54","startHours":15.895230104073008,"endHours":16.895230104073008,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:54","end":"17:54","startHours":16.895230104073008,"endHours":17.895230104073008,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:54","end":"18:54","startHours":17.895230104073008,"endHours":18.895230104073008,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:54","end":"19:54","startHours":18.895230104073008,"endHours":19.895230104073008,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:54","end":"20:54","startHours":19.895230104073008,"endHours":20.895230104073008,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:54","end":"21:54","startHours":20.895230104073008,"endHours":21.895230104073008,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:54","end":"22:54","startHours":21.895230104073008,"endHours":22.895230104073008,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:54","end":"23:54","startHours":22.895230104073008,"endHours":23.895230104073008,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:54","end":"00:54","startHours":23.895230104073008,"endHours":24.895230104073008,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:54","end":"01:54","startHours":24.895230104073008,"endHours":25.895230104073008,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:54","end":"02:54","startHours":25.895230104073008,"endHours":26.895230104073008,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:54","end":"03:54","startHours":26.895230104073008,"endHours":27.895230104073008,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:54","end":"04:54","startHours":27.895230104073008,"endHours":28.895230104073008,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.03147603910922,"eotMinutes":-3.5280577209103767,"ayanamsa":26.0549}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"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":"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 August 18, 2157 CE · Berlin, Germany · Vidhyamitra","description":"August 18, 2157 CE for Berlin, Germany: Śukla Trayodaśī, sūryodaya 04:54, sūryāsta 19:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2157-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2157-08-18","sa":"https://sa.vidhyamitra.com/city/berlin/2157-08-18","hi":"https://hi.vidhyamitra.com/city/berlin/2157-08-18","x-default":"https://vidhyamitra.com/city/berlin/2157-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:56:54.943Z","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":"2026-06-02T20:56:54.943Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:56:54.943Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}