{"id":"vidhyamitra:city-day:berlin:2124-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2124-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-10-03","date_display":"October 3, 2124 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":2124,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497110.770833,"kali_year":5226,"ahargana":1908645.2708,"sun":{"sidereal_longitude":163.4801,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":102.6677,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.1876,"elapsed_within_tithi_degrees":11.1876},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.6677,"elapsed_within_degrees":9.3343},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.1477},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":2124,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497110.770833,"ahargana":1908645.2708,"kali_year":5226,"ayanamsa_lahiri":25.5957,"grahas":{"sun":{"sidereal_longitude":164.52816299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":102.029763,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-4.2764},"mars":{"sidereal_longitude":119.349763,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":180.341363,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":188.72506299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":128.898663,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":119.29306299999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":210.7885,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.7885,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":2124,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497110.770833,"kali_year":5226,"ahargana":1908645.2708,"sun":{"sidereal_longitude":163.4801,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":102.6677,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.1876,"elapsed_within_tithi_degrees":11.1876},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.6677,"elapsed_within_degrees":9.3343},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.1477},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.276,"elongation":60.812},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.276,"opposition_distance":119.188}},"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":"06:10","sunsetLocal":"17:39","solarNoonLocal":"11:55","dayLengthHours":11.484329308860161,"dayLengthDisplay":"11 Hours 29 Mins 04 Secs","nightLengthDisplay":"12 Hours 30 Mins 56 Secs","moonriseLocal":"23:57","moonsetLocal":"15:32","rahuKala":{"name":"Rāhu Kāla","start":"14:47","end":"16:13","startHours":14.780843509189118,"endHours":16.216384672796636,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:28","startHours":9.038678854759038,"endHours":10.474220018366557,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:21","startHours":11.909761181974076,"endHours":13.345302345581597,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:14","startHours":8.847273366278035,"endHours":9.23008434324004,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:57","startHours":6.646110248746504,"endHours":6.952359030316108,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:18","startHours":11.52695020501207,"endHours":12.292572158936082,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:24","startHours":4.636352619695975,"endHours":5.401974573619986,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:10","startHours":5.210569085138983,"endHours":6.167596527543997,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:35","startHours":13.823816066784104,"endHours":14.589438020708116,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.451925836404158,"endHours":17.851925836404156,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:08","startHours":17.651925836404157,"endHours":18.130439557606664,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.401925836404157,"endHours":19.151925836404157,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:18","startHours":23.52695020501207,"endHours":24.292572158936082,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:10","end":"07:36","startHours":6.167596527543997,"endHours":7.603137691151517,"quality":"inauspicious"},{"name":"Udveg","start":"07:36","end":"09:02","startHours":7.603137691151517,"endHours":9.038678854759038,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:28","startHours":9.038678854759038,"endHours":10.474220018366557,"quality":"neutral"},{"name":"Labha","start":"10:28","end":"11:55","startHours":10.474220018366557,"endHours":11.909761181974076,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:21","startHours":11.909761181974076,"endHours":13.345302345581597,"quality":"auspicious"},{"name":"Kāla","start":"13:21","end":"14:47","startHours":13.345302345581597,"endHours":14.780843509189118,"quality":"inauspicious"},{"name":"Śubha","start":"14:47","end":"16:13","startHours":14.780843509189118,"endHours":16.216384672796636,"quality":"auspicious"},{"name":"Roga","start":"16:13","end":"17:39","startHours":16.216384672796636,"endHours":17.651925836404157,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:39","end":"19:13","startHours":17.651925836404157,"endHours":19.216384672796636,"quality":"inauspicious"},{"name":"Śubha","start":"19:13","end":"20:47","startHours":19.216384672796636,"endHours":20.78084350918912,"quality":"auspicious"},{"name":"Roga","start":"20:47","end":"22:21","startHours":20.78084350918912,"endHours":22.345302345581597,"quality":"inauspicious"},{"name":"Udveg","start":"22:21","end":"23:55","startHours":22.345302345581597,"endHours":23.909761181974076,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:28","startHours":23.909761181974076,"endHours":25.474220018366555,"quality":"neutral"},{"name":"Labha","start":"01:28","end":"03:02","startHours":25.474220018366555,"endHours":27.038678854759034,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:36","startHours":27.038678854759034,"endHours":28.603137691151517,"quality":"auspicious"},{"name":"Kāla","start":"04:36","end":"06:10","startHours":28.603137691151517,"endHours":30.167596527543996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.167596527543997,"endHours":7.167596527543997,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.167596527543997,"endHours":8.167596527543996,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.167596527543996,"endHours":9.167596527543996,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.167596527543996,"endHours":10.167596527543996,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.167596527543996,"endHours":11.167596527543996,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.167596527543996,"endHours":12.167596527543996,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.167596527543996,"endHours":13.167596527543996,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.167596527543996,"endHours":14.167596527543996,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.167596527543996,"endHours":15.167596527543996,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.167596527543996,"endHours":16.167596527543996,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.167596527543996,"endHours":17.167596527543996,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.167596527543996,"endHours":18.167596527543996,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.167596527543996,"endHours":19.167596527543996,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.167596527543996,"endHours":20.167596527543996,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.167596527543996,"endHours":21.167596527543996,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.167596527543996,"endHours":22.167596527543996,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.167596527543996,"endHours":23.167596527543996,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.167596527543996,"endHours":24.167596527543996,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.167596527543996,"endHours":25.167596527543996,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.167596527543996,"endHours":26.167596527543996,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.167596527543996,"endHours":27.167596527543996,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.167596527543996,"endHours":28.167596527543996,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.167596527543996,"endHours":29.167596527543996,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.167596527543996,"endHours":30.167596527543996,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.008939539590562,"eotMinutes":11.794329081555436,"ayanamsa":25.5957}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Daśamī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"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 October 3, 2124 CE · Berlin, Germany · Vidhyamitra","description":"October 3, 2124 CE for Berlin, Germany: Kṛṣṇa Daśamī, sūryodaya 06:10, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2124-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2124-10-03","sa":"https://sa.vidhyamitra.com/city/berlin/2124-10-03","hi":"https://hi.vidhyamitra.com/city/berlin/2124-10-03","x-default":"https://vidhyamitra.com/city/berlin/2124-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:50:11.238Z","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":"2026-06-02T21:50:11.238Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:50:11.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}