{"id":"vidhyamitra:city-day:berlin:2121-07-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2121-07-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-19","date_display":"July 19, 2121 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":2121,"month":7,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495938.770833,"kali_year":5223,"ahargana":1907473.2708,"sun":{"sidereal_longitude":90.1789,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":142.2153,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.0364,"elapsed_within_tithi_degrees":4.0364},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.2153,"elapsed_within_degrees":8.882},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.3943},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2121,"month":7,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495938.770833,"ahargana":1907473.2708,"kali_year":5223,"ayanamsa_lahiri":25.5509,"grahas":{"sun":{"sidereal_longitude":90.91504199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":139.33444199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.4116},"mars":{"sidereal_longitude":150.65784200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":97.02554199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":100.40764200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":53.98544199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":73.588142,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":272.8867,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.8867,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2121,"month":7,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495938.770833,"kali_year":5223,"ahargana":1907473.2708,"sun":{"sidereal_longitude":90.1789,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":142.2153,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.0364,"elapsed_within_tithi_degrees":4.0364},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.2153,"elapsed_within_degrees":8.882},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.3943},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.412,"elongation":52.036},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.412,"opposition_distance":127.964}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":0.554,"opposition_distance":1.232}]},"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":"20:18","solarNoonLocal":"12:12","dayLengthHours":16.199840739566227,"dayLengthDisplay":"16 Hours 11 Mins 59 Secs","nightLengthDisplay":"7 Hours 48 Mins 01 Secs","moonriseLocal":"08:51","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"08:09","end":"10:11","startHours":8.155198632169126,"endHours":10.180178724614905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:14","end":"16:15","startHours":14.230138909506461,"endHours":16.255119001952238,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:06","end":"06:08","startHours":4.10523844727757,"endHours":6.130218539723348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:53","end":"08:26","startHours":7.885201286509689,"endHours":8.425195977828563,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:47","end":"05:13","startHours":4.780231811426162,"endHours":5.212227564481262,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:45","startHours":11.66516412574181,"endHours":12.745153508379559,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:57","end":"03:02","startHours":1.9452596820020727,"endHours":3.025249064639821,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:45","end":"04:06","startHours":2.755251718980384,"endHours":4.10523844727757,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:59","startHours":14.905132273655054,"endHours":15.985121656292803,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:06","end":"20:30","startHours":20.1050791868438,"endHours":20.505079186843798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:18","end":"20:59","startHours":20.3050791868438,"endHours":20.98007255099239,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:03","end":"21:48","startHours":20.0550791868438,"endHours":21.8050791868438,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:45","startHours":23.66516412574181,"endHours":24.74515350837956,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:06","end":"06:08","startHours":4.10523844727757,"endHours":6.130218539723348,"quality":"inauspicious"},{"name":"Śubha","start":"06:08","end":"08:09","startHours":6.130218539723348,"endHours":8.155198632169126,"quality":"auspicious"},{"name":"Roga","start":"08:09","end":"10:11","startHours":8.155198632169126,"endHours":10.180178724614905,"quality":"inauspicious"},{"name":"Udveg","start":"10:11","end":"12:12","startHours":10.180178724614905,"endHours":12.205158817060683,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"14:14","startHours":12.205158817060683,"endHours":14.230138909506461,"quality":"neutral"},{"name":"Labha","start":"14:14","end":"16:15","startHours":14.230138909506461,"endHours":16.255119001952238,"quality":"auspicious"},{"name":"Amṛta","start":"16:15","end":"18:17","startHours":16.255119001952238,"endHours":18.280099094398018,"quality":"auspicious"},{"name":"Kāla","start":"18:17","end":"20:18","startHours":18.280099094398018,"endHours":20.3050791868438,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"20:18","end":"21:17","startHours":20.3050791868438,"endHours":21.280099094398018,"quality":"auspicious"},{"name":"Amṛta","start":"21:17","end":"22:15","startHours":21.280099094398018,"endHours":22.25511900195224,"quality":"auspicious"},{"name":"Kāla","start":"22:15","end":"23:14","startHours":22.25511900195224,"endHours":23.230138909506465,"quality":"inauspicious"},{"name":"Śubha","start":"23:14","end":"00:12","startHours":23.230138909506465,"endHours":24.205158817060685,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:11","startHours":24.205158817060685,"endHours":25.180178724614905,"quality":"inauspicious"},{"name":"Udveg","start":"01:11","end":"02:09","startHours":25.180178724614905,"endHours":26.155198632169128,"quality":"inauspicious"},{"name":"Chala","start":"02:09","end":"03:08","startHours":26.155198632169128,"endHours":27.13021853972335,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:06","startHours":27.13021853972335,"endHours":28.10523844727757,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:06","end":"05:06","startHours":4.10523844727757,"endHours":5.10523844727757,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:06","end":"06:06","startHours":5.10523844727757,"endHours":6.10523844727757,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:06","end":"07:06","startHours":6.10523844727757,"endHours":7.10523844727757,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:06","end":"08:06","startHours":7.10523844727757,"endHours":8.10523844727757,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:06","end":"09:06","startHours":8.10523844727757,"endHours":9.10523844727757,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:06","end":"10:06","startHours":9.10523844727757,"endHours":10.10523844727757,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:06","end":"11:06","startHours":10.10523844727757,"endHours":11.10523844727757,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:06","end":"12:06","startHours":11.10523844727757,"endHours":12.10523844727757,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:06","end":"13:06","startHours":12.10523844727757,"endHours":13.10523844727757,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:06","end":"14:06","startHours":13.10523844727757,"endHours":14.10523844727757,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:06","end":"15:06","startHours":14.10523844727757,"endHours":15.10523844727757,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:06","end":"16:06","startHours":15.10523844727757,"endHours":16.10523844727757,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:06","end":"17:06","startHours":16.10523844727757,"endHours":17.10523844727757,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:06","end":"18:06","startHours":17.10523844727757,"endHours":18.10523844727757,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:06","end":"19:06","startHours":18.10523844727757,"endHours":19.10523844727757,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:06","end":"20:06","startHours":19.10523844727757,"endHours":20.10523844727757,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:06","end":"21:06","startHours":20.10523844727757,"endHours":21.10523844727757,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:06","end":"22:06","startHours":21.10523844727757,"endHours":22.10523844727757,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:06","end":"23:06","startHours":22.10523844727757,"endHours":23.10523844727757,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:06","end":"00:06","startHours":23.10523844727757,"endHours":24.10523844727757,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:06","end":"01:06","startHours":24.10523844727757,"endHours":25.10523844727757,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:06","end":"02:06","startHours":25.10523844727757,"endHours":26.10523844727757,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:06","end":"03:06","startHours":26.10523844727757,"endHours":27.10523844727757,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:06","end":"04:06","startHours":27.10523844727757,"endHours":28.10523844727757,"planetary_lord":"Mercury"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.85780246741543,"eotMinutes":-5.929529023641085,"ayanamsa":25.5509}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pañcamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"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}],"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 19, 2121 CE · Berlin, Germany · Vidhyamitra","description":"July 19, 2121 CE for Berlin, Germany: Śukla Pañcamī, sūryodaya 04:06, sūryāsta 20:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2121-07-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2121-07-19","sa":"https://sa.vidhyamitra.com/city/berlin/2121-07-19","hi":"https://hi.vidhyamitra.com/city/berlin/2121-07-19","x-default":"https://vidhyamitra.com/city/berlin/2121-07-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:24:54.567Z","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":"2026-06-03T09:24:54.567Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:24:54.567Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}