{"id":"vidhyamitra:city-day:berlin:2174-07-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2174-07-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2174-07-03","date_display":"July 3, 2174 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":2174,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515280.770833,"kali_year":5276,"ahargana":1926815.2708,"sun":{"sidereal_longitude":74.3552,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":120.6326,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2774,"elapsed_within_tithi_degrees":10.2774},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.6326,"elapsed_within_degrees":0.6326},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.9878},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2174,"month":7,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515280.770833,"ahargana":1926815.2708,"kali_year":5276,"ayanamsa_lahiri":26.2907,"grahas":{"sun":{"sidereal_longitude":75.10423500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":118.349535,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":2.0707},"mars":{"sidereal_longitude":211.801735,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":68.38253499999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":259.74173500000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":54.17323499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":357.882935,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":328.0545,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":148.0545,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"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":2174,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515280.770833,"kali_year":5276,"ahargana":1926815.2708,"sun":{"sidereal_longitude":74.3552,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":120.6326,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2774,"elapsed_within_tithi_degrees":10.2774},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.6326,"elapsed_within_degrees":0.6326},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.9878},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.071,"elongation":46.277},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.071,"opposition_distance":133.723}},"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":"03:49","sunsetLocal":"20:31","solarNoonLocal":"12:10","dayLengthHours":16.709223229920944,"dayLengthDisplay":"16 Hours 42 Mins 33 Secs","nightLengthDisplay":"7 Hours 17 Mins 27 Secs","moonriseLocal":"07:47","moonsetLocal":"22:19","rahuKala":{"name":"Rāhu Kāla","start":"18:26","end":"20:31","startHours":18.436316222685917,"endHours":20.524969126426036,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:10","end":"14:16","startHours":12.170357511465566,"endHours":14.259010415205685,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:21","end":"18:26","startHours":16.347663318945802,"endHours":18.436316222685917,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:43","end":"08:16","startHours":7.714564650153314,"endHours":8.271538757817346,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:31","end":"04:57","startHours":4.511963531085133,"endHours":4.957542817216358,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:44","startHours":11.613383403801533,"endHours":12.727331619129595,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:35","end":"02:42","startHours":1.5878494658489681,"endHours":2.7017976811770312,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:25","end":"03:49","startHours":2.4233106273450153,"endHours":3.815745896505094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.955228049785722,"endHours":16.069176265113786,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:19","end":"20:43","startHours":20.324969126426037,"endHours":20.724969126426036,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:31","end":"21:13","startHours":20.524969126426036,"endHours":21.221186761006077,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:16","end":"22:01","startHours":20.274969126426036,"endHours":22.024969126426036,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:44","startHours":23.61338340380153,"endHours":24.727331619129597,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"03:49","end":"05:54","startHours":3.815745896505094,"endHours":5.904398800245212,"quality":"inauspicious"},{"name":"Chala","start":"05:54","end":"08:00","startHours":5.904398800245212,"endHours":7.99305170398533,"quality":"neutral"},{"name":"Labha","start":"08:00","end":"10:05","startHours":7.99305170398533,"endHours":10.081704607725449,"quality":"auspicious"},{"name":"Amṛta","start":"10:05","end":"12:10","startHours":10.081704607725449,"endHours":12.170357511465566,"quality":"auspicious"},{"name":"Kāla","start":"12:10","end":"14:16","startHours":12.170357511465566,"endHours":14.259010415205685,"quality":"inauspicious"},{"name":"Śubha","start":"14:16","end":"16:21","startHours":14.259010415205685,"endHours":16.347663318945802,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"18:26","startHours":16.347663318945802,"endHours":18.436316222685917,"quality":"inauspicious"},{"name":"Udveg","start":"18:26","end":"20:31","startHours":18.436316222685917,"endHours":20.524969126426036,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"20:31","end":"21:26","startHours":20.524969126426036,"endHours":21.436316222685917,"quality":"auspicious"},{"name":"Roga","start":"21:26","end":"22:21","startHours":21.436316222685917,"endHours":22.3476633189458,"quality":"inauspicious"},{"name":"Udveg","start":"22:21","end":"23:16","startHours":22.3476633189458,"endHours":23.259010415205683,"quality":"inauspicious"},{"name":"Chala","start":"23:16","end":"00:10","startHours":23.259010415205683,"endHours":24.170357511465564,"quality":"neutral"},{"name":"Labha","start":"00:10","end":"01:05","startHours":24.170357511465564,"endHours":25.081704607725445,"quality":"auspicious"},{"name":"Amṛta","start":"01:05","end":"02:00","startHours":25.081704607725445,"endHours":25.99305170398533,"quality":"auspicious"},{"name":"Kāla","start":"02:00","end":"02:54","startHours":25.99305170398533,"endHours":26.90439880024521,"quality":"inauspicious"},{"name":"Śubha","start":"02:54","end":"03:49","startHours":26.90439880024521,"endHours":27.815745896505092,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:49","end":"04:49","startHours":3.815745896505094,"endHours":4.815745896505094,"planetary_lord":"Sun"},{"name":"Hora 2","start":"04:49","end":"05:49","startHours":4.815745896505094,"endHours":5.815745896505094,"planetary_lord":"Mars"},{"name":"Hora 3","start":"05:49","end":"06:49","startHours":5.815745896505094,"endHours":6.815745896505094,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"06:49","end":"07:49","startHours":6.815745896505094,"endHours":7.815745896505094,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"07:49","end":"08:49","startHours":7.815745896505094,"endHours":8.815745896505094,"planetary_lord":"Moon"},{"name":"Hora 6","start":"08:49","end":"09:49","startHours":8.815745896505094,"endHours":9.815745896505094,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"09:49","end":"10:49","startHours":9.815745896505094,"endHours":10.815745896505094,"planetary_lord":"Venus"},{"name":"Hora 8","start":"10:49","end":"11:49","startHours":10.815745896505094,"endHours":11.815745896505094,"planetary_lord":"Sun"},{"name":"Hora 9","start":"11:49","end":"12:49","startHours":11.815745896505094,"endHours":12.815745896505094,"planetary_lord":"Mars"},{"name":"Hora 10","start":"12:49","end":"13:49","startHours":12.815745896505094,"endHours":13.815745896505094,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"13:49","end":"14:49","startHours":13.815745896505094,"endHours":14.815745896505094,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"14:49","end":"15:49","startHours":14.815745896505094,"endHours":15.815745896505094,"planetary_lord":"Moon"},{"name":"Hora 13","start":"15:49","end":"16:49","startHours":15.815745896505094,"endHours":16.815745896505092,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"16:49","end":"17:49","startHours":16.815745896505092,"endHours":17.815745896505092,"planetary_lord":"Venus"},{"name":"Hora 15","start":"17:49","end":"18:49","startHours":17.815745896505092,"endHours":18.815745896505092,"planetary_lord":"Sun"},{"name":"Hora 16","start":"18:49","end":"19:49","startHours":18.815745896505092,"endHours":19.815745896505092,"planetary_lord":"Mars"},{"name":"Hora 17","start":"19:49","end":"20:49","startHours":19.815745896505092,"endHours":20.815745896505092,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"20:49","end":"21:49","startHours":20.815745896505092,"endHours":21.815745896505092,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"21:49","end":"22:49","startHours":21.815745896505092,"endHours":22.815745896505092,"planetary_lord":"Moon"},{"name":"Hora 20","start":"22:49","end":"23:49","startHours":22.815745896505092,"endHours":23.815745896505092,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"23:49","end":"00:49","startHours":23.815745896505092,"endHours":24.815745896505092,"planetary_lord":"Venus"},{"name":"Hora 22","start":"00:49","end":"01:49","startHours":24.815745896505092,"endHours":25.815745896505092,"planetary_lord":"Sun"},{"name":"Hora 23","start":"01:49","end":"02:49","startHours":25.815745896505092,"endHours":26.815745896505092,"planetary_lord":"Mars"},{"name":"Hora 24","start":"02:49","end":"03:49","startHours":26.815745896505092,"endHours":27.815745896505092,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.947817758340033,"eotMinutes":-3.8414506879338766,"ayanamsa":26.2907}},"calendars":{"vikram_samvat":2231,"vikram_samvatsara":"Sarvajit","saka_samvat":2096,"saka_samvatsara":"Bhāva","bengali_samvat":1581,"malayalam_era":1350,"nanakshahi_year":705,"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 Caturthī · Vikram 2231 Sarvajit · Śaka 2096 Bhāva"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 3, 2174 CE · Berlin, Germany · Vidhyamitra","description":"July 3, 2174 CE for Berlin, Germany: Śukla Caturthī, sūryodaya 03:49, sūryāsta 20:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2174-07-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2174-07-03","sa":"https://sa.vidhyamitra.com/city/berlin/2174-07-03","hi":"https://hi.vidhyamitra.com/city/berlin/2174-07-03","x-default":"https://vidhyamitra.com/city/berlin/2174-07-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T19:12:50.739Z","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":"2026-06-03T19:12:50.739Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T19:12:50.739Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}