{"id":"vidhyamitra:city-day:berlin:2115-07-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-07-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-07-19","date_display":"July 19, 2115 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":2115,"month":7,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493746.770833,"kali_year":5217,"ahargana":1905281.2708,"sun":{"sidereal_longitude":89.755,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.3495,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5945,"elapsed_within_tithi_degrees":0.5945},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.3495,"elapsed_within_degrees":1.0162},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.1045},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2115,"month":7,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493746.770833,"ahargana":1905281.2708,"kali_year":5217,"ayanamsa_lahiri":25.4671,"grahas":{"sun":{"sidereal_longitude":90.47339199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":52.96169199999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":1.9229},"mars":{"sidereal_longitude":112.06229200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":105.28149200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":270.31729199999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":88.77649200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":358.033392,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":29.0294,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":209.0294,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":7,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493746.770833,"kali_year":5217,"ahargana":1905281.2708,"sun":{"sidereal_longitude":89.755,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.3495,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5945,"elapsed_within_tithi_degrees":0.5945},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.3495,"elapsed_within_degrees":1.0162},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.1045},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.923,"elongation":35.406},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.923,"opposition_distance":144.594}},"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":"04:06","sunsetLocal":"20:19","solarNoonLocal":"12:12","dayLengthHours":16.22309918059642,"dayLengthDisplay":"16 Hours 13 Mins 23 Secs","nightLengthDisplay":"7 Hours 46 Mins 37 Secs","moonriseLocal":"01:23","moonsetLocal":"18:01","rahuKala":{"name":"Rāhu Kāla","start":"10:11","end":"12:12","startHours":10.177271419486132,"endHours":12.205158817060685,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:16","end":"18:17","startHours":16.26093361220979,"endHours":18.288821009784343,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:07","end":"08:09","startHours":6.121496624337027,"endHours":8.14938402191158,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:53","end":"08:25","startHours":7.878999035568306,"endHours":8.419769008254853,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:46","end":"05:12","startHours":4.769571692620659,"endHours":5.202187670769897,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:45","startHours":11.664388844374137,"endHours":12.745928789747232,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:56","end":"03:01","startHours":1.930529336016285,"endHours":3.0120692813893797,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:45","end":"04:06","startHours":2.741684295046106,"endHours":4.093609226762474,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:59","startHours":14.909008680493422,"endHours":15.990548625866516,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:07","end":"20:31","startHours":20.116708407358896,"endHours":20.516708407358895,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:19","end":"21:00","startHours":20.316708407358895,"endHours":20.99267087321708,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:04","end":"21:49","startHours":20.066708407358895,"endHours":21.816708407358895,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:45","startHours":23.664388844374137,"endHours":24.745928789747232,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:06","end":"06:07","startHours":4.093609226762474,"endHours":6.121496624337027,"quality":"neutral"},{"name":"Labha","start":"06:07","end":"08:09","startHours":6.121496624337027,"endHours":8.14938402191158,"quality":"auspicious"},{"name":"Amṛta","start":"08:09","end":"10:11","startHours":8.14938402191158,"endHours":10.177271419486132,"quality":"auspicious"},{"name":"Kāla","start":"10:11","end":"12:12","startHours":10.177271419486132,"endHours":12.205158817060685,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"14:14","startHours":12.205158817060685,"endHours":14.233046214635237,"quality":"auspicious"},{"name":"Roga","start":"14:14","end":"16:16","startHours":14.233046214635237,"endHours":16.26093361220979,"quality":"inauspicious"},{"name":"Udveg","start":"16:16","end":"18:17","startHours":16.26093361220979,"endHours":18.288821009784343,"quality":"inauspicious"},{"name":"Chala","start":"18:17","end":"20:19","startHours":18.288821009784343,"endHours":20.316708407358895,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"20:19","end":"21:17","startHours":20.316708407358895,"endHours":21.288821009784343,"quality":"inauspicious"},{"name":"Udveg","start":"21:17","end":"22:16","startHours":21.288821009784343,"endHours":22.26093361220979,"quality":"inauspicious"},{"name":"Chala","start":"22:16","end":"23:14","startHours":22.26093361220979,"endHours":23.233046214635237,"quality":"neutral"},{"name":"Labha","start":"23:14","end":"00:12","startHours":23.233046214635237,"endHours":24.205158817060685,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:11","startHours":24.205158817060685,"endHours":25.177271419486132,"quality":"auspicious"},{"name":"Kāla","start":"01:11","end":"02:09","startHours":25.177271419486132,"endHours":26.14938402191158,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:07","startHours":26.14938402191158,"endHours":27.121496624337027,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:06","startHours":27.121496624337027,"endHours":28.093609226762474,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:06","end":"05:06","startHours":4.093609226762474,"endHours":5.093609226762474,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:06","end":"06:06","startHours":5.093609226762474,"endHours":6.093609226762474,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:06","end":"07:06","startHours":6.093609226762474,"endHours":7.093609226762474,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:06","end":"08:06","startHours":7.093609226762474,"endHours":8.093609226762474,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:06","end":"09:06","startHours":8.093609226762474,"endHours":9.093609226762474,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:06","end":"10:06","startHours":9.093609226762474,"endHours":10.093609226762474,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:06","end":"11:06","startHours":10.093609226762474,"endHours":11.093609226762474,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:06","end":"12:06","startHours":11.093609226762474,"endHours":12.093609226762474,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:06","end":"13:06","startHours":12.093609226762474,"endHours":13.093609226762474,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:06","end":"14:06","startHours":13.093609226762474,"endHours":14.093609226762474,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:06","end":"15:06","startHours":14.093609226762474,"endHours":15.093609226762474,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:06","end":"16:06","startHours":15.093609226762474,"endHours":16.093609226762474,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:06","end":"17:06","startHours":16.093609226762474,"endHours":17.093609226762474,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:06","end":"18:06","startHours":17.093609226762474,"endHours":18.093609226762474,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:06","end":"19:06","startHours":18.093609226762474,"endHours":19.093609226762474,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:06","end":"20:06","startHours":19.093609226762474,"endHours":20.093609226762474,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:06","end":"21:06","startHours":20.093609226762474,"endHours":21.093609226762474,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:06","end":"22:06","startHours":21.093609226762474,"endHours":22.093609226762474,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:06","end":"23:06","startHours":22.093609226762474,"endHours":23.093609226762474,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:06","end":"00:06","startHours":23.093609226762474,"endHours":24.093609226762474,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:06","end":"01:06","startHours":24.093609226762474,"endHours":25.093609226762474,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:06","end":"02:06","startHours":25.093609226762474,"endHours":26.093609226762474,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:06","end":"03:06","startHours":26.093609226762474,"endHours":27.093609226762474,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:06","end":"04:06","startHours":27.093609226762474,"endHours":28.093609226762474,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.956586299163376,"eotMinutes":-5.929529023641085,"ayanamsa":25.4671}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Trayodaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi_ingress":"Karka"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 19, 2115 CE · Berlin, Germany · Vidhyamitra","description":"July 19, 2115 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 04:06, sūryāsta 20:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-07-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-07-19","sa":"https://sa.vidhyamitra.com/city/berlin/2115-07-19","hi":"https://hi.vidhyamitra.com/city/berlin/2115-07-19","x-default":"https://vidhyamitra.com/city/berlin/2115-07-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:06:13.576Z","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":"2026-05-31T15:06:13.576Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:06:13.576Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}