{"id":"vidhyamitra:city-day:berlin:2104-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2104-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-08-13","date_display":"August 13, 2104 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":2104,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489754.770833,"kali_year":5206,"ahargana":1901289.2708,"sun":{"sidereal_longitude":114.3158,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":17.9159,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.6001,"elapsed_within_tithi_degrees":11.6001},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.9159,"elapsed_within_degrees":4.5826},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":132.2317},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2104,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489754.770833,"ahargana":1901289.2708,"kali_year":5206,"ayanamsa_lahiri":25.3144,"grahas":{"sun":{"sidereal_longitude":115.163816,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":20.861616000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":3.0459},"mars":{"sidereal_longitude":157.992116,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":97.078416,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":301.907416,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":138.271116,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":220.47421599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":240.5448,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":60.5448,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489754.770833,"kali_year":5206,"ahargana":1901289.2708,"sun":{"sidereal_longitude":114.3158,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":17.9159,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.6001,"elapsed_within_tithi_degrees":11.6001},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.9159,"elapsed_within_degrees":4.5826},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":132.2317},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.046,"elongation":96.4},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.046,"opposition_distance":83.6}},"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":"04:45","sunsetLocal":"19:37","solarNoonLocal":"12:11","dayLengthHours":14.861719380929959,"dayLengthDisplay":"14 Hours 51 Mins 42 Secs","nightLengthDisplay":"9 Hours 08 Mins 18 Secs","moonriseLocal":"22:17","moonsetLocal":"13:30","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"14:02","startHours":12.182358678970258,"endHours":14.040073601586503,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:37","end":"08:28","startHours":6.609213911121524,"endHours":8.466928833737768,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:19","end":"12:11","startHours":10.324643756354014,"endHours":12.182358678970258,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:43","startHours":8.219233510722269,"endHours":8.714624156753269,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:22","end":"05:46","startHours":5.370737296044028,"endHours":5.767049812868827,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:41","startHours":11.68696803293926,"endHours":12.677749325001257,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:46","end":"03:46","startHours":2.7699364043812844,"endHours":3.760717696443282,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:31","end":"04:45","startHours":3.5130223734277823,"endHours":4.751498988505279,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:39","startHours":14.659311909125252,"endHours":15.65009320118725,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:25","end":"19:49","startHours":19.41321836943524,"endHours":19.813218369435237,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:37","end":"20:14","startHours":19.613218369435238,"endHours":20.232456676973985,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:22","end":"21:07","startHours":19.363218369435238,"endHours":21.113218369435238,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:41","startHours":23.686968032939262,"endHours":24.67774932500126,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:45","end":"06:37","startHours":4.751498988505279,"endHours":6.609213911121524,"quality":"auspicious"},{"name":"Amṛta","start":"06:37","end":"08:28","startHours":6.609213911121524,"endHours":8.466928833737768,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"10:19","startHours":8.466928833737768,"endHours":10.324643756354014,"quality":"inauspicious"},{"name":"Śubha","start":"10:19","end":"12:11","startHours":10.324643756354014,"endHours":12.182358678970258,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"14:02","startHours":12.182358678970258,"endHours":14.040073601586503,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:54","startHours":14.040073601586503,"endHours":15.897788524202749,"quality":"inauspicious"},{"name":"Chala","start":"15:54","end":"17:45","startHours":15.897788524202749,"endHours":17.75550344681899,"quality":"neutral"},{"name":"Labha","start":"17:45","end":"19:37","startHours":17.75550344681899,"endHours":19.613218369435238,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:37","end":"20:45","startHours":19.613218369435238,"endHours":20.75550344681899,"quality":"inauspicious"},{"name":"Chala","start":"20:45","end":"21:54","startHours":20.75550344681899,"endHours":21.89778852420275,"quality":"neutral"},{"name":"Labha","start":"21:54","end":"23:02","startHours":21.89778852420275,"endHours":23.040073601586503,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:11","startHours":23.040073601586503,"endHours":24.18235867897026,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:19","startHours":24.18235867897026,"endHours":25.324643756354014,"quality":"inauspicious"},{"name":"Śubha","start":"01:19","end":"02:28","startHours":25.324643756354014,"endHours":26.466928833737768,"quality":"auspicious"},{"name":"Roga","start":"02:28","end":"03:37","startHours":26.466928833737768,"endHours":27.609213911121522,"quality":"inauspicious"},{"name":"Udveg","start":"03:37","end":"04:45","startHours":27.609213911121522,"endHours":28.75149898850528,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:45","end":"05:45","startHours":4.751498988505279,"endHours":5.751498988505279,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:45","end":"06:45","startHours":5.751498988505279,"endHours":6.751498988505279,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:45","end":"07:45","startHours":6.751498988505279,"endHours":7.751498988505279,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:45","end":"08:45","startHours":7.751498988505279,"endHours":8.75149898850528,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:45","end":"09:45","startHours":8.75149898850528,"endHours":9.75149898850528,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:45","end":"10:45","startHours":9.75149898850528,"endHours":10.75149898850528,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:45","end":"11:45","startHours":10.75149898850528,"endHours":11.75149898850528,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:45","end":"12:45","startHours":11.75149898850528,"endHours":12.75149898850528,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:45","end":"13:45","startHours":12.75149898850528,"endHours":13.75149898850528,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:45","end":"14:45","startHours":13.75149898850528,"endHours":14.75149898850528,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:45","end":"15:45","startHours":14.75149898850528,"endHours":15.75149898850528,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:45","end":"16:45","startHours":15.75149898850528,"endHours":16.75149898850528,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:45","end":"17:45","startHours":16.75149898850528,"endHours":17.75149898850528,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:45","end":"18:45","startHours":17.75149898850528,"endHours":18.75149898850528,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:45","end":"19:45","startHours":18.75149898850528,"endHours":19.75149898850528,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:45","end":"20:45","startHours":19.75149898850528,"endHours":20.75149898850528,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:45","end":"21:45","startHours":20.75149898850528,"endHours":21.75149898850528,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:45","end":"22:45","startHours":21.75149898850528,"endHours":22.75149898850528,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:45","end":"23:45","startHours":22.75149898850528,"endHours":23.75149898850528,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:45","end":"00:45","startHours":23.75149898850528,"endHours":24.75149898850528,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:45","end":"01:45","startHours":24.75149898850528,"endHours":25.75149898850528,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:45","end":"02:45","startHours":25.75149898850528,"endHours":26.75149898850528,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:45","end":"03:45","startHours":26.75149898850528,"endHours":27.75149898850528,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:45","end":"04:45","startHours":27.75149898850528,"endHours":28.75149898850528,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":14.66136330414083,"eotMinutes":-4.561520738215509,"ayanamsa":25.3144}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 13, 2104 CE · Berlin, Germany · Vidhyamitra","description":"August 13, 2104 CE for Berlin, Germany: Kṛṣṇa Saptamī, sūryodaya 04:45, sūryāsta 19:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2104-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2104-08-13","sa":"https://sa.vidhyamitra.com/city/berlin/2104-08-13","hi":"https://hi.vidhyamitra.com/city/berlin/2104-08-13","x-default":"https://vidhyamitra.com/city/berlin/2104-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T23:01:16.890Z","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":"2026-06-02T23:01:16.890Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T23:01:16.890Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}