{"id":"vidhyamitra:city-day:berlin:2113-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2113-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-15","date_display":"July 15, 2113 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":2113,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493012.770833,"kali_year":5215,"ahargana":1904547.2708,"sun":{"sidereal_longitude":86.4565,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":112.067,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6105,"elapsed_within_tithi_degrees":1.6105},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.067,"elapsed_within_degrees":5.4003},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.5236},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2113,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493012.770833,"ahargana":1904547.2708,"kali_year":5215,"ayanamsa_lahiri":25.439,"grahas":{"sun":{"sidereal_longitude":87.14703700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":110.61163699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":3.1326},"mars":{"sidereal_longitude":97.834837,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":66.08793700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":201.071237,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":48.987337000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":332.503737,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.9203,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.9203,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493012.770833,"kali_year":5215,"ahargana":1904547.2708,"sun":{"sidereal_longitude":86.4565,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":112.067,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6105,"elapsed_within_tithi_degrees":1.6105},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.067,"elapsed_within_degrees":5.4003},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.5236},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.133,"elongation":25.61},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.133,"opposition_distance":154.39}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":-0.002,"opposition_distance":2.521},{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"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":"04:01","sunsetLocal":"20:23","solarNoonLocal":"12:12","dayLengthHours":16.363170521406722,"dayLengthDisplay":"16 Hours 21 Mins 47 Secs","nightLengthDisplay":"7 Hours 38 Mins 13 Secs","moonriseLocal":"06:14","moonsetLocal":"21:18","rahuKala":{"name":"Rāhu Kāla","start":"08:07","end":"10:09","startHours":8.108600888087905,"endHours":10.153997203263746,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:15","end":"16:17","startHours":14.244789833615425,"endHours":16.290186148791264,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:01","end":"06:04","startHours":4.017808257736224,"endHours":6.063204572912064,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:50","end":"08:23","startHours":7.835881379397792,"endHours":8.381320396778015,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:42","end":"05:08","startHours":4.699607029461504,"endHours":5.135958243365683,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.653954501059362,"endHours":12.744832535819809,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:50","end":"02:56","startHours":1.8360521882153278,"endHours":2.926930222975776,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:39","end":"04:01","startHours":2.654210714285664,"endHours":4.017808257736224,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"16:01","startHours":14.926588605340704,"endHours":16.01746664010115,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:11","end":"20:35","startHours":20.180978779142947,"endHours":20.580978779142946,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:23","end":"21:04","startHours":20.380978779142946,"endHours":21.062777550868226,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:08","end":"21:53","startHours":20.130978779142946,"endHours":21.880978779142946,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.65395450105936,"endHours":24.74483253581981,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:01","end":"06:04","startHours":4.017808257736224,"endHours":6.063204572912064,"quality":"inauspicious"},{"name":"Śubha","start":"06:04","end":"08:07","startHours":6.063204572912064,"endHours":8.108600888087905,"quality":"auspicious"},{"name":"Roga","start":"08:07","end":"10:09","startHours":8.108600888087905,"endHours":10.153997203263746,"quality":"inauspicious"},{"name":"Udveg","start":"10:09","end":"12:12","startHours":10.153997203263746,"endHours":12.199393518439585,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"14:15","startHours":12.199393518439585,"endHours":14.244789833615425,"quality":"neutral"},{"name":"Labha","start":"14:15","end":"16:17","startHours":14.244789833615425,"endHours":16.290186148791264,"quality":"auspicious"},{"name":"Amṛta","start":"16:17","end":"18:20","startHours":16.290186148791264,"endHours":18.335582463967107,"quality":"auspicious"},{"name":"Kāla","start":"18:20","end":"20:23","startHours":18.335582463967107,"endHours":20.380978779142946,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:23","end":"21:20","startHours":20.380978779142946,"endHours":21.335582463967107,"quality":"auspicious"},{"name":"Amṛta","start":"21:20","end":"22:17","startHours":21.335582463967107,"endHours":22.290186148791264,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"23:15","startHours":22.290186148791264,"endHours":23.244789833615425,"quality":"inauspicious"},{"name":"Śubha","start":"23:15","end":"00:12","startHours":23.244789833615425,"endHours":24.199393518439585,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:09","startHours":24.199393518439585,"endHours":25.153997203263746,"quality":"inauspicious"},{"name":"Udveg","start":"01:09","end":"02:07","startHours":25.153997203263746,"endHours":26.108600888087906,"quality":"inauspicious"},{"name":"Chala","start":"02:07","end":"03:04","startHours":26.108600888087906,"endHours":27.063204572912063,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:01","startHours":27.063204572912063,"endHours":28.017808257736224,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:01","end":"05:01","startHours":4.017808257736224,"endHours":5.017808257736224,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:01","end":"06:01","startHours":5.017808257736224,"endHours":6.017808257736224,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:01","end":"07:01","startHours":6.017808257736224,"endHours":7.017808257736224,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:01","end":"08:01","startHours":7.017808257736224,"endHours":8.017808257736224,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:01","end":"09:01","startHours":8.017808257736224,"endHours":9.017808257736224,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:01","end":"10:01","startHours":9.017808257736224,"endHours":10.017808257736224,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:01","end":"11:01","startHours":10.017808257736224,"endHours":11.017808257736224,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:01","end":"12:01","startHours":11.017808257736224,"endHours":12.017808257736224,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:01","end":"13:01","startHours":12.017808257736224,"endHours":13.017808257736224,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:01","end":"14:01","startHours":13.017808257736224,"endHours":14.017808257736224,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:01","end":"15:01","startHours":14.017808257736224,"endHours":15.017808257736224,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:01","end":"16:01","startHours":15.017808257736224,"endHours":16.017808257736224,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:01","end":"17:01","startHours":16.017808257736224,"endHours":17.017808257736224,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:01","end":"18:01","startHours":17.017808257736224,"endHours":18.017808257736224,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:01","end":"19:01","startHours":18.017808257736224,"endHours":19.017808257736224,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:01","end":"20:01","startHours":19.017808257736224,"endHours":20.017808257736224,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:01","end":"21:01","startHours":20.017808257736224,"endHours":21.017808257736224,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:01","end":"22:01","startHours":21.017808257736224,"endHours":22.017808257736224,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:01","end":"23:01","startHours":22.017808257736224,"endHours":23.017808257736224,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:01","end":"00:01","startHours":23.017808257736224,"endHours":24.017808257736224,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:01","end":"01:01","startHours":24.017808257736224,"endHours":25.017808257736224,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:01","end":"02:01","startHours":25.017808257736224,"endHours":26.017808257736224,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:01","end":"03:01","startHours":26.017808257736224,"endHours":27.017808257736224,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:01","end":"04:01","startHours":27.017808257736224,"endHours":28.017808257736224,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.54475654911341,"eotMinutes":-5.583611106375076,"ayanamsa":25.439}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Tṛtīyā · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[],"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 July 15, 2113 CE · Berlin, Germany · Vidhyamitra","description":"July 15, 2113 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 04:01, sūryāsta 20:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2113-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2113-07-15","sa":"https://sa.vidhyamitra.com/city/berlin/2113-07-15","hi":"https://hi.vidhyamitra.com/city/berlin/2113-07-15","x-default":"https://vidhyamitra.com/city/berlin/2113-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:07:27.551Z","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":"2026-06-02T13:07:27.551Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:07:27.551Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}