{"id":"vidhyamitra:city-day:berlin:2115-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-07-29","date_display":"July 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493756.770833,"kali_year":5217,"ahargana":1905291.2708,"sun":{"sidereal_longitude":99.2374,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":192.4771,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.2397,"elapsed_within_tithi_degrees":9.2397},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.4771,"elapsed_within_degrees":5.8105},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.7145},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493756.770833,"ahargana":1905291.2708,"kali_year":5217,"ayanamsa_lahiri":25.4674,"grahas":{"sun":{"sidereal_longitude":100.02071000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":195.70501000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":1.2409},"mars":{"sidereal_longitude":118.34001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":121.70681000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":269.03061,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":101.08880999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":358.25811,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":28.4996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.4996,"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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493756.770833,"kali_year":5217,"ahargana":1905291.2708,"sun":{"sidereal_longitude":99.2374,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":192.4771,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.2397,"elapsed_within_tithi_degrees":9.2397},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.4771,"elapsed_within_degrees":5.8105},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.7145},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.241,"elongation":93.24},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.241,"opposition_distance":86.76}},"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":"04:20","sunsetLocal":"20:05","solarNoonLocal":"12:13","dayLengthHours":15.752305286546488,"dayLengthDisplay":"15 Hours 45 Mins 08 Secs","nightLengthDisplay":"8 Hours 14 Mins 52 Secs","moonriseLocal":"13:54","moonsetLocal":"23:17","rahuKala":{"name":"Rāhu Kāla","start":"06:18","end":"08:16","startHours":6.301679790970836,"endHours":8.270717951789148,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:14","end":"12:13","startHours":10.23975611260746,"endHours":12.20879427342577,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:11","end":"16:09","startHours":14.177832434244081,"endHours":16.146870595062392,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:00","end":"08:32","startHours":8.008179530346705,"endHours":8.533256373231588,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:59","end":"05:25","startHours":4.988987683758629,"endHours":5.409049158066535,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.683717430540888,"endHours":12.733871116310652,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:14","end":"03:17","startHours":2.232334258612994,"endHours":3.2824879443827597,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:01","end":"04:20","startHours":3.019949522940318,"endHours":4.3326416301525255,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:53","startHours":14.834178487850185,"endHours":15.884332173619951,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:53","end":"20:17","startHours":19.884946916699015,"endHours":20.284946916699013,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:05","end":"20:44","startHours":20.084946916699014,"endHours":20.741292970305118,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:50","end":"21:35","startHours":19.834946916699014,"endHours":21.584946916699014,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.683717430540888,"endHours":24.733871116310652,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:20","end":"06:18","startHours":4.3326416301525255,"endHours":6.301679790970836,"quality":"auspicious"},{"name":"Kāla","start":"06:18","end":"08:16","startHours":6.301679790970836,"endHours":8.270717951789148,"quality":"inauspicious"},{"name":"Śubha","start":"08:16","end":"10:14","startHours":8.270717951789148,"endHours":10.23975611260746,"quality":"auspicious"},{"name":"Roga","start":"10:14","end":"12:13","startHours":10.23975611260746,"endHours":12.20879427342577,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"14:11","startHours":12.20879427342577,"endHours":14.177832434244081,"quality":"inauspicious"},{"name":"Chala","start":"14:11","end":"16:09","startHours":14.177832434244081,"endHours":16.146870595062392,"quality":"neutral"},{"name":"Labha","start":"16:09","end":"18:07","startHours":16.146870595062392,"endHours":18.115908755880703,"quality":"auspicious"},{"name":"Amṛta","start":"18:07","end":"20:05","startHours":18.115908755880703,"endHours":20.084946916699014,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:05","end":"21:07","startHours":20.084946916699014,"endHours":21.115908755880703,"quality":"neutral"},{"name":"Labha","start":"21:07","end":"22:09","startHours":21.115908755880703,"endHours":22.146870595062392,"quality":"auspicious"},{"name":"Amṛta","start":"22:09","end":"23:11","startHours":22.146870595062392,"endHours":23.17783243424408,"quality":"auspicious"},{"name":"Kāla","start":"23:11","end":"00:13","startHours":23.17783243424408,"endHours":24.20879427342577,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:14","startHours":24.20879427342577,"endHours":25.23975611260746,"quality":"auspicious"},{"name":"Roga","start":"01:14","end":"02:16","startHours":25.23975611260746,"endHours":26.27071795178915,"quality":"inauspicious"},{"name":"Udveg","start":"02:16","end":"03:18","startHours":26.27071795178915,"endHours":27.301679790970837,"quality":"inauspicious"},{"name":"Chala","start":"03:18","end":"04:20","startHours":27.301679790970837,"endHours":28.332641630152526,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:20","end":"05:20","startHours":4.3326416301525255,"endHours":5.3326416301525255,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:20","end":"06:20","startHours":5.3326416301525255,"endHours":6.3326416301525255,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:20","end":"07:20","startHours":6.3326416301525255,"endHours":7.3326416301525255,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:20","end":"08:20","startHours":7.3326416301525255,"endHours":8.332641630152526,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:20","end":"09:20","startHours":8.332641630152526,"endHours":9.332641630152526,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:20","end":"10:20","startHours":9.332641630152526,"endHours":10.332641630152526,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:20","end":"11:20","startHours":10.332641630152526,"endHours":11.332641630152526,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:20","end":"12:20","startHours":11.332641630152526,"endHours":12.332641630152526,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:20","end":"13:20","startHours":12.332641630152526,"endHours":13.332641630152526,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:20","end":"14:20","startHours":13.332641630152526,"endHours":14.332641630152526,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:20","end":"15:20","startHours":14.332641630152526,"endHours":15.332641630152526,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:20","end":"16:20","startHours":15.332641630152526,"endHours":16.332641630152526,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:20","end":"17:20","startHours":16.332641630152526,"endHours":17.332641630152526,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:20","end":"18:20","startHours":17.332641630152526,"endHours":18.332641630152526,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:20","end":"19:20","startHours":18.332641630152526,"endHours":19.332641630152526,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:20","end":"20:20","startHours":19.332641630152526,"endHours":20.332641630152526,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:20","end":"21:20","startHours":20.332641630152526,"endHours":21.332641630152526,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:20","end":"22:20","startHours":21.332641630152526,"endHours":22.332641630152526,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:20","end":"23:20","startHours":22.332641630152526,"endHours":23.332641630152526,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:20","end":"00:20","startHours":23.332641630152526,"endHours":24.332641630152526,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:20","end":"01:20","startHours":24.332641630152526,"endHours":25.332641630152526,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:20","end":"02:20","startHours":25.332641630152526,"endHours":26.332641630152526,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:20","end":"03:20","startHours":26.332641630152526,"endHours":27.332641630152526,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:20","end":"04:20","startHours":27.332641630152526,"endHours":28.332641630152526,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.89580156380175,"eotMinutes":-6.147656405546237,"ayanamsa":25.4674}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Aṣṭamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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 29, 2115 CE · Berlin, Germany · Vidhyamitra","description":"July 29, 2115 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 04:20, sūryāsta 20:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-07-29","sa":"https://sa.vidhyamitra.com/city/berlin/2115-07-29","hi":"https://hi.vidhyamitra.com/city/berlin/2115-07-29","x-default":"https://vidhyamitra.com/city/berlin/2115-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:16:58.744Z","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":"2026-05-31T03:16:58.744Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:16:58.744Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}