{"id":"vidhyamitra:city-day:berlin:2103-08-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2103-08-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-08-22","date_display":"August 22, 2103 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":2103,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489397.770833,"kali_year":5205,"ahargana":1900932.2708,"sun":{"sidereal_longitude":122.2103,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":355.3362,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1259,"elapsed_within_tithi_degrees":5.1259},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.3362,"elapsed_within_degrees":8.6696},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.5466},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2103,"month":8,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489397.770833,"ahargana":1900932.2708,"kali_year":5205,"ayanamsa_lahiri":25.3007,"grahas":{"sun":{"sidereal_longitude":123.09735599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":359.182856,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":4.4763},"mars":{"sidereal_longitude":55.184555999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":117.242456,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":262.216956,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":85.184956,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":209.36205599999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":259.4604,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":79.4604,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2103,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489397.770833,"kali_year":5205,"ahargana":1900932.2708,"sun":{"sidereal_longitude":122.2103,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":355.3362,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1259,"elapsed_within_tithi_degrees":5.1259},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.3362,"elapsed_within_degrees":8.6696},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.5466},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.476,"elongation":126.874},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.476,"opposition_distance":53.126}},"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":"04:59","sunsetLocal":"19:19","solarNoonLocal":"12:09","dayLengthHours":14.346454365047274,"dayLengthDisplay":"14 Hours 20 Mins 47 Secs","nightLengthDisplay":"9 Hours 39 Mins 13 Secs","moonriseLocal":"20:59","moonsetLocal":"10:48","rahuKala":{"name":"Rāhu Kāla","start":"12:09","end":"13:57","startHours":12.148622271064138,"endHours":13.941929066695046,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:46","end":"08:34","startHours":6.768701884171409,"endHours":8.562008679802318,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:21","end":"12:09","startHours":10.355315475433228,"endHours":12.148622271064138,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:19","end":"08:48","startHours":8.32290110705153,"endHours":8.801116252553106,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:34","end":"05:57","startHours":5.57316402041747,"endHours":5.9557361368187305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:38","startHours":11.670407125562562,"endHours":12.626837416565714,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:04","end":"04:01","startHours":3.062534506534197,"endHours":4.018964797537349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:47","end":"04:59","startHours":3.7798572247865607,"endHours":4.9753950885405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:30","startHours":14.539697998572017,"endHours":15.496128289575168,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.121849453587775,"endHours":19.521849453587773,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:55","startHours":19.321849453587774,"endHours":19.919618385464744,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.071849453587774,"endHours":20.821849453587774,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:38","startHours":23.670407125562562,"endHours":24.626837416565714,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:59","end":"06:46","startHours":4.9753950885405,"endHours":6.768701884171409,"quality":"auspicious"},{"name":"Amṛta","start":"06:46","end":"08:34","startHours":6.768701884171409,"endHours":8.562008679802318,"quality":"auspicious"},{"name":"Kāla","start":"08:34","end":"10:21","startHours":8.562008679802318,"endHours":10.355315475433228,"quality":"inauspicious"},{"name":"Śubha","start":"10:21","end":"12:09","startHours":10.355315475433228,"endHours":12.148622271064138,"quality":"auspicious"},{"name":"Roga","start":"12:09","end":"13:57","startHours":12.148622271064138,"endHours":13.941929066695046,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:44","startHours":13.941929066695046,"endHours":15.735235862325956,"quality":"inauspicious"},{"name":"Chala","start":"15:44","end":"17:32","startHours":15.735235862325956,"endHours":17.528542657956862,"quality":"neutral"},{"name":"Labha","start":"17:32","end":"19:19","startHours":17.528542657956862,"endHours":19.321849453587774,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:19","end":"20:32","startHours":19.321849453587774,"endHours":20.528542657956866,"quality":"inauspicious"},{"name":"Chala","start":"20:32","end":"21:44","startHours":20.528542657956866,"endHours":21.735235862325954,"quality":"neutral"},{"name":"Labha","start":"21:44","end":"22:57","startHours":21.735235862325954,"endHours":22.941929066695046,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:09","startHours":22.941929066695046,"endHours":24.148622271064138,"quality":"auspicious"},{"name":"Kāla","start":"00:09","end":"01:21","startHours":24.148622271064138,"endHours":25.35531547543323,"quality":"inauspicious"},{"name":"Śubha","start":"01:21","end":"02:34","startHours":25.35531547543323,"endHours":26.562008679802318,"quality":"auspicious"},{"name":"Roga","start":"02:34","end":"03:46","startHours":26.562008679802318,"endHours":27.76870188417141,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"04:59","startHours":27.76870188417141,"endHours":28.975395088540502,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:59","end":"05:59","startHours":4.9753950885405,"endHours":5.9753950885405,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:59","end":"06:59","startHours":5.9753950885405,"endHours":6.9753950885405,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:59","end":"07:59","startHours":6.9753950885405,"endHours":7.9753950885405,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:59","end":"08:59","startHours":7.9753950885405,"endHours":8.9753950885405,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:59","end":"09:59","startHours":8.9753950885405,"endHours":9.9753950885405,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:59","end":"10:59","startHours":9.9753950885405,"endHours":10.9753950885405,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:59","end":"11:59","startHours":10.9753950885405,"endHours":11.9753950885405,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:59","end":"12:59","startHours":11.9753950885405,"endHours":12.9753950885405,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:59","end":"13:59","startHours":12.9753950885405,"endHours":13.9753950885405,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:59","end":"14:59","startHours":13.9753950885405,"endHours":14.9753950885405,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:59","end":"15:59","startHours":14.9753950885405,"endHours":15.9753950885405,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:59","end":"16:59","startHours":15.9753950885405,"endHours":16.975395088540502,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:59","end":"17:59","startHours":16.975395088540502,"endHours":17.975395088540502,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:59","end":"18:59","startHours":17.975395088540502,"endHours":18.975395088540502,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:59","end":"19:59","startHours":18.975395088540502,"endHours":19.975395088540502,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:59","end":"20:59","startHours":19.975395088540502,"endHours":20.975395088540502,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:59","end":"21:59","startHours":20.975395088540502,"endHours":21.975395088540502,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:59","end":"22:59","startHours":21.975395088540502,"endHours":22.975395088540502,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:59","end":"23:59","startHours":22.975395088540502,"endHours":23.975395088540502,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:59","end":"00:59","startHours":23.975395088540502,"endHours":24.975395088540502,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:59","end":"01:59","startHours":24.975395088540502,"endHours":25.975395088540502,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:59","end":"02:59","startHours":25.975395088540502,"endHours":26.975395088540502,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:59","end":"03:59","startHours":26.975395088540502,"endHours":27.975395088540502,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:59","end":"04:59","startHours":27.975395088540502,"endHours":28.975395088540502,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.02964139056731,"eotMinutes":-2.537336263848294,"ayanamsa":25.3007}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"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 22, 2103 CE · Berlin, Germany · Vidhyamitra","description":"August 22, 2103 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 04:59, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2103-08-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2103-08-22","sa":"https://sa.vidhyamitra.com/city/berlin/2103-08-22","hi":"https://hi.vidhyamitra.com/city/berlin/2103-08-22","x-default":"https://vidhyamitra.com/city/berlin/2103-08-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:04:48.449Z","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":"2026-05-31T18:04:48.449Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:04:48.449Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}