{"id":"vidhyamitra:city-day:berlin:2091-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2091-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-07-14","date_display":"July 14, 2091 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":2091,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484976.770833,"kali_year":5193,"ahargana":1896511.2708,"sun":{"sidereal_longitude":86.1655,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.6921,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.5266,"elapsed_within_tithi_degrees":4.5266},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6921,"elapsed_within_degrees":1.3587},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.8576},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2091,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484976.770833,"ahargana":1896511.2708,"kali_year":5193,"ayanamsa_lahiri":25.1316,"grahas":{"sun":{"sidereal_longitude":86.80047100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.064370999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-4.4174},"mars":{"sidereal_longitude":160.53407100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.39377100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":260.9070710000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":82.483971,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":66.26097099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":133.7062,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.7062,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484976.770833,"kali_year":5193,"ahargana":1896511.2708,"sun":{"sidereal_longitude":86.1655,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":54.6921,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.5266,"elapsed_within_tithi_degrees":4.5266},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.6921,"elapsed_within_degrees":1.3587},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.8576},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.417,"elongation":31.473},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.417,"opposition_distance":148.527}},"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":"04:00","sunsetLocal":"20:24","solarNoonLocal":"12:12","dayLengthHours":16.38870380131539,"dayLengthDisplay":"16 Hours 23 Mins 19 Secs","nightLengthDisplay":"7 Hours 36 Mins 41 Secs","moonriseLocal":"01:48","moonsetLocal":"18:29","rahuKala":{"name":"Rāhu Kāla","start":"08:06","end":"10:09","startHours":8.100431157778477,"endHours":10.149019132942902,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:15","end":"16:18","startHours":14.246195083271749,"endHours":16.294783058436174,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:00","end":"06:03","startHours":4.00325520744963,"endHours":6.0518431826140535,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:50","end":"08:22","startHours":7.827286094423221,"endHours":8.373576221133735,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:41","end":"05:07","startHours":4.686117865837772,"endHours":5.1231499672061815,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.651316981396812,"endHours":12.743897234817839,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:49","end":"02:55","startHours":1.818094700607578,"endHours":2.910674954028604,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:38","end":"04:00","startHours":2.6375298906733473,"endHours":4.00325520744963,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"16:01","startHours":14.929057741659891,"endHours":16.021637995080916,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:12","end":"20:36","startHours":20.19195900876502,"endHours":20.59195900876502,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:24","end":"21:04","startHours":20.39195900876502,"endHours":21.074821667153163,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:09","end":"21:54","startHours":20.14195900876502,"endHours":21.89195900876502,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.651316981396814,"endHours":24.74389723481784,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:00","end":"06:03","startHours":4.00325520744963,"endHours":6.0518431826140535,"quality":"inauspicious"},{"name":"Śubha","start":"06:03","end":"08:06","startHours":6.0518431826140535,"endHours":8.100431157778477,"quality":"auspicious"},{"name":"Roga","start":"08:06","end":"10:09","startHours":8.100431157778477,"endHours":10.149019132942902,"quality":"inauspicious"},{"name":"Udveg","start":"10:09","end":"12:12","startHours":10.149019132942902,"endHours":12.197607108107325,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"14:15","startHours":12.197607108107325,"endHours":14.246195083271749,"quality":"neutral"},{"name":"Labha","start":"14:15","end":"16:18","startHours":14.246195083271749,"endHours":16.294783058436174,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"18:21","startHours":16.294783058436174,"endHours":18.343371033600597,"quality":"auspicious"},{"name":"Kāla","start":"18:21","end":"20:24","startHours":18.343371033600597,"endHours":20.39195900876502,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:24","end":"21:21","startHours":20.39195900876502,"endHours":21.343371033600597,"quality":"auspicious"},{"name":"Amṛta","start":"21:21","end":"22:18","startHours":21.343371033600597,"endHours":22.294783058436174,"quality":"auspicious"},{"name":"Kāla","start":"22:18","end":"23:15","startHours":22.294783058436174,"endHours":23.24619508327175,"quality":"inauspicious"},{"name":"Śubha","start":"23:15","end":"00:12","startHours":23.24619508327175,"endHours":24.197607108107327,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:09","startHours":24.197607108107327,"endHours":25.149019132942904,"quality":"inauspicious"},{"name":"Udveg","start":"01:09","end":"02:06","startHours":25.149019132942904,"endHours":26.100431157778477,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:03","startHours":26.100431157778477,"endHours":27.051843182614054,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:00","startHours":27.051843182614054,"endHours":28.00325520744963,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:00","end":"05:00","startHours":4.00325520744963,"endHours":5.00325520744963,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:00","end":"06:00","startHours":5.00325520744963,"endHours":6.00325520744963,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:00","end":"07:00","startHours":6.00325520744963,"endHours":7.00325520744963,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:00","end":"08:00","startHours":7.00325520744963,"endHours":8.00325520744963,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:00","end":"09:00","startHours":8.00325520744963,"endHours":9.00325520744963,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:00","end":"10:00","startHours":9.00325520744963,"endHours":10.00325520744963,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:00","end":"11:00","startHours":10.00325520744963,"endHours":11.00325520744963,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:00","end":"12:00","startHours":11.00325520744963,"endHours":12.00325520744963,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:00","end":"13:00","startHours":12.00325520744963,"endHours":13.00325520744963,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:00","end":"14:00","startHours":13.00325520744963,"endHours":14.00325520744963,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:00","end":"15:00","startHours":14.00325520744963,"endHours":15.00325520744963,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:00","end":"16:00","startHours":15.00325520744963,"endHours":16.00325520744963,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:00","end":"17:00","startHours":16.00325520744963,"endHours":17.00325520744963,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:00","end":"18:00","startHours":17.00325520744963,"endHours":18.00325520744963,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:00","end":"19:00","startHours":18.00325520744963,"endHours":19.00325520744963,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:00","end":"20:00","startHours":19.00325520744963,"endHours":20.00325520744963,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:00","end":"21:00","startHours":20.00325520744963,"endHours":21.00325520744963,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:00","end":"22:00","startHours":21.00325520744963,"endHours":22.00325520744963,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:00","end":"23:00","startHours":22.00325520744963,"endHours":23.00325520744963,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:00","end":"00:00","startHours":23.00325520744963,"endHours":24.00325520744963,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:00","end":"01:00","startHours":24.00325520744963,"endHours":25.00325520744963,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:00","end":"02:00","startHours":25.00325520744963,"endHours":26.00325520744963,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:00","end":"03:00","startHours":26.00325520744963,"endHours":27.00325520744963,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:00","end":"04:00","startHours":27.00325520744963,"endHours":28.00325520744963,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","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":21.650721601059235,"eotMinutes":-5.476426486439539,"ayanamsa":25.1316}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha (Adhika) Kṛṣṇa Trayodaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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":"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 14, 2091 CE · Berlin, Germany · Vidhyamitra","description":"July 14, 2091 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 04:00, sūryāsta 20:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2091-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2091-07-14","sa":"https://sa.vidhyamitra.com/city/berlin/2091-07-14","hi":"https://hi.vidhyamitra.com/city/berlin/2091-07-14","x-default":"https://vidhyamitra.com/city/berlin/2091-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:22:02.425Z","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":"2026-06-02T00:22:02.425Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:22:02.425Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}