{"id":"vidhyamitra:city-day:berlin:2103-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2103-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-07-24","date_display":"July 24, 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":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489368.770833,"kali_year":5205,"ahargana":1900903.2708,"sun":{"sidereal_longitude":94.5935,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":331.4603,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.8668,"elapsed_within_tithi_degrees":8.8668},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.4603,"elapsed_within_degrees":11.4603},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.0538},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489368.770833,"ahargana":1900903.2708,"kali_year":5205,"ayanamsa_lahiri":25.2996,"grahas":{"sun":{"sidereal_longitude":95.31616400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":335.145864,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":4.2404},"mars":{"sidereal_longitude":35.80176399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":120.72776399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":265.21286399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":90.81566399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":208.98476400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":260.9969,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.9969,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2103,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489368.770833,"kali_year":5205,"ahargana":1900903.2708,"sun":{"sidereal_longitude":94.5935,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":331.4603,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.8668,"elapsed_within_tithi_degrees":8.8668},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.4603,"elapsed_within_degrees":11.4603},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.0538},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.24,"elongation":123.133},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.24,"opposition_distance":56.867}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":0.715,"elongation":2.753},{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":0.972,"opposition_distance":2.888}]},"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":"04:12","sunsetLocal":"20:13","solarNoonLocal":"12:13","dayLengthHours":16.004673135401298,"dayLengthDisplay":"16 Hours 00 Mins 17 Secs","nightLengthDisplay":"7 Hours 59 Mins 43 Secs","moonriseLocal":"22:07","moonsetLocal":"10:17","rahuKala":{"name":"Rāhu Kāla","start":"16:13","end":"18:13","startHours":16.21017111703563,"endHours":18.210755258960795,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:12","end":"10:13","startHours":8.207834549334983,"endHours":10.208418691260146,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"14:13","startHours":12.209002833185307,"endHours":14.20958697511047,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:56","end":"08:28","startHours":7.941089997078295,"endHours":8.474579101591672,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:52","end":"05:18","startHours":4.873527646126379,"endHours":5.300318929737081,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:45","startHours":11.67551372867193,"endHours":12.742491937698684,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:04","end":"03:08","startHours":2.072709847431152,"endHours":3.1396880564579055,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:52","end":"04:12","startHours":2.872943504201217,"endHours":4.2066662654846585,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:57","startHours":14.87644835575219,"endHours":15.943426564778944,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:01","end":"20:25","startHours":20.011339400885955,"endHours":20.411339400885954,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:13","end":"20:53","startHours":20.211339400885954,"endHours":20.878200781527674,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:58","end":"21:43","startHours":19.961339400885954,"endHours":21.711339400885954,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:45","startHours":23.675513728671934,"endHours":24.742491937698684,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:12","end":"06:12","startHours":4.2066662654846585,"endHours":6.207250407409821,"quality":"inauspicious"},{"name":"Udveg","start":"06:12","end":"08:12","startHours":6.207250407409821,"endHours":8.207834549334983,"quality":"inauspicious"},{"name":"Chala","start":"08:12","end":"10:13","startHours":8.207834549334983,"endHours":10.208418691260146,"quality":"neutral"},{"name":"Labha","start":"10:13","end":"12:13","startHours":10.208418691260146,"endHours":12.209002833185307,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"14:13","startHours":12.209002833185307,"endHours":14.20958697511047,"quality":"auspicious"},{"name":"Kāla","start":"14:13","end":"16:13","startHours":14.20958697511047,"endHours":16.21017111703563,"quality":"inauspicious"},{"name":"Śubha","start":"16:13","end":"18:13","startHours":16.21017111703563,"endHours":18.210755258960795,"quality":"auspicious"},{"name":"Roga","start":"18:13","end":"20:13","startHours":18.210755258960795,"endHours":20.211339400885954,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"20:13","end":"21:13","startHours":20.211339400885954,"endHours":21.21075525896079,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:13","startHours":21.21075525896079,"endHours":22.210171117035628,"quality":"auspicious"},{"name":"Roga","start":"22:13","end":"23:13","startHours":22.210171117035628,"endHours":23.20958697511047,"quality":"inauspicious"},{"name":"Udveg","start":"23:13","end":"00:13","startHours":23.20958697511047,"endHours":24.209002833185306,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:13","startHours":24.209002833185306,"endHours":25.208418691260142,"quality":"neutral"},{"name":"Labha","start":"01:13","end":"02:12","startHours":25.208418691260142,"endHours":26.207834549334983,"quality":"auspicious"},{"name":"Amṛta","start":"02:12","end":"03:12","startHours":26.207834549334983,"endHours":27.20725040740982,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:12","startHours":27.20725040740982,"endHours":28.206666265484657,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:12","end":"05:12","startHours":4.2066662654846585,"endHours":5.2066662654846585,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:12","end":"06:12","startHours":5.2066662654846585,"endHours":6.2066662654846585,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:12","end":"07:12","startHours":6.2066662654846585,"endHours":7.2066662654846585,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:12","end":"08:12","startHours":7.2066662654846585,"endHours":8.206666265484658,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:12","end":"09:12","startHours":8.206666265484658,"endHours":9.206666265484658,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:12","end":"10:12","startHours":9.206666265484658,"endHours":10.206666265484658,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:12","end":"11:12","startHours":10.206666265484658,"endHours":11.206666265484658,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:12","end":"12:12","startHours":11.206666265484658,"endHours":12.206666265484658,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:12","end":"13:12","startHours":12.206666265484658,"endHours":13.206666265484658,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:12","end":"14:12","startHours":13.206666265484658,"endHours":14.206666265484658,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:12","end":"15:12","startHours":14.206666265484658,"endHours":15.206666265484658,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:12","end":"16:12","startHours":15.206666265484658,"endHours":16.206666265484657,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:12","end":"17:12","startHours":16.206666265484657,"endHours":17.206666265484657,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:12","end":"18:12","startHours":17.206666265484657,"endHours":18.206666265484657,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:12","end":"19:12","startHours":18.206666265484657,"endHours":19.206666265484657,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:12","end":"20:12","startHours":19.206666265484657,"endHours":20.206666265484657,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:12","end":"21:12","startHours":20.206666265484657,"endHours":21.206666265484657,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:12","end":"22:12","startHours":21.206666265484657,"endHours":22.206666265484657,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:12","end":"23:12","startHours":22.206666265484657,"endHours":23.206666265484657,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:12","end":"00:12","startHours":23.206666265484657,"endHours":24.206666265484657,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:12","end":"01:12","startHours":24.206666265484657,"endHours":25.206666265484657,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:12","end":"02:12","startHours":25.206666265484657,"endHours":26.206666265484657,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:12","end":"03:12","startHours":26.206666265484657,"endHours":27.206666265484657,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:12","end":"04:12","startHours":27.206666265484657,"endHours":28.206666265484657,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North","anandadiYoga":{"name":"Saumya","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":20.016413804830876,"eotMinutes":-6.160169991118456,"ayanamsa":25.2996}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pañcamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 24, 2103 CE · Berlin, Germany · Vidhyamitra","description":"July 24, 2103 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 04:12, sūryāsta 20:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2103-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2103-07-24","sa":"https://sa.vidhyamitra.com/city/berlin/2103-07-24","hi":"https://hi.vidhyamitra.com/city/berlin/2103-07-24","x-default":"https://vidhyamitra.com/city/berlin/2103-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:21:01.427Z","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":"2026-05-31T23:21:01.427Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:21:01.427Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}