{"id":"vidhyamitra:city-day:berlin:2124-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2124-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-10-31","date_display":"October 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497138.770833,"kali_year":5226,"ahargana":1908673.2708,"sun":{"sidereal_longitude":191.2821,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":111.7419,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.4597,"elapsed_within_tithi_degrees":4.4597},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.7419,"elapsed_within_degrees":5.0752},"yoga":{"number":23,"name":"Śubha","sum_longitude":303.024},"karana":{"half_tithi_index":46,"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":2124,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497138.770833,"ahargana":1908673.2708,"kali_year":5226,"ayanamsa_lahiri":25.5968,"grahas":{"sun":{"sidereal_longitude":192.27759300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":112.95809299999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-4.4608},"mars":{"sidereal_longitude":136.220193,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":213.73949300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":194.74119300000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":163.08639300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.731493,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":209.3049,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.3049,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2124,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497138.770833,"kali_year":5226,"ahargana":1908673.2708,"sun":{"sidereal_longitude":191.2821,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":111.7419,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.4597,"elapsed_within_tithi_degrees":4.4597},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.7419,"elapsed_within_degrees":5.0752},"yoga":{"number":23,"name":"Śubha","sum_longitude":303.024},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.461,"elongation":79.54},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.461,"opposition_distance":100.46}},"eclipse_window_40days":[{"offset_days":6,"type":"solar","occurs":true,"moon_latitude":-0.985,"elongation":0.983}]},"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":"07:01","sunsetLocal":"16:39","solarNoonLocal":"11:50","dayLengthHours":9.642227289799832,"dayLengthDisplay":"9 Hours 38 Mins 32 Secs","nightLengthDisplay":"14 Hours 21 Mins 28 Secs","moonriseLocal":"23:05","moonsetLocal":"14:00","rahuKala":{"name":"Rāhu Kāla","start":"14:15","end":"15:27","startHours":14.24267716327449,"endHours":15.447955574499469,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:25","end":"10:38","startHours":9.421563518374574,"endHours":10.626841929599554,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:50","end":"13:02","startHours":11.832120340824531,"endHours":13.037398752049512,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:35","startHours":9.260859730211244,"endHours":9.582267306537904,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:40","startHours":7.4127661663329425,"endHours":7.669892227394271,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:09","startHours":11.51071276449787,"endHours":12.153527917151193,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:22","startHours":5.7253763906179715,"endHours":6.368191543271294,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:01","startHours":6.207487755107963,"endHours":7.011006695924616,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:26","end":"14:05","startHours":13.439158222457838,"endHours":14.08197337511116,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:27","end":"16:51","startHours":16.45323398572445,"endHours":16.853233985724447,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:39","end":"17:03","startHours":16.653233985724448,"endHours":17.054993456132774,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:24","end":"18:09","startHours":16.403233985724448,"endHours":18.153233985724448,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:09","startHours":23.51071276449787,"endHours":24.15352791715119,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:13","startHours":7.011006695924616,"endHours":8.216285107149595,"quality":"inauspicious"},{"name":"Udveg","start":"08:13","end":"09:25","startHours":8.216285107149595,"endHours":9.421563518374574,"quality":"inauspicious"},{"name":"Chala","start":"09:25","end":"10:38","startHours":9.421563518374574,"endHours":10.626841929599554,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"11:50","startHours":10.626841929599554,"endHours":11.832120340824531,"quality":"auspicious"},{"name":"Amṛta","start":"11:50","end":"13:02","startHours":11.832120340824531,"endHours":13.037398752049512,"quality":"auspicious"},{"name":"Kāla","start":"13:02","end":"14:15","startHours":13.037398752049512,"endHours":14.24267716327449,"quality":"inauspicious"},{"name":"Śubha","start":"14:15","end":"15:27","startHours":14.24267716327449,"endHours":15.447955574499469,"quality":"auspicious"},{"name":"Roga","start":"15:27","end":"16:39","startHours":15.447955574499469,"endHours":16.653233985724448,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:39","end":"18:27","startHours":16.653233985724448,"endHours":18.44795557449947,"quality":"inauspicious"},{"name":"Śubha","start":"18:27","end":"20:15","startHours":18.44795557449947,"endHours":20.24267716327449,"quality":"auspicious"},{"name":"Roga","start":"20:15","end":"22:02","startHours":20.24267716327449,"endHours":22.037398752049512,"quality":"inauspicious"},{"name":"Udveg","start":"22:02","end":"23:50","startHours":22.037398752049512,"endHours":23.83212034082453,"quality":"inauspicious"},{"name":"Chala","start":"23:50","end":"01:38","startHours":23.83212034082453,"endHours":25.626841929599554,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:25","startHours":25.626841929599554,"endHours":27.421563518374576,"quality":"auspicious"},{"name":"Amṛta","start":"03:25","end":"05:13","startHours":27.421563518374576,"endHours":29.216285107149595,"quality":"auspicious"},{"name":"Kāla","start":"05:13","end":"07:01","startHours":29.216285107149595,"endHours":31.011006695924614,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.011006695924616,"endHours":8.011006695924616,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.011006695924616,"endHours":9.011006695924616,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.011006695924616,"endHours":10.011006695924616,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.011006695924616,"endHours":11.011006695924616,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.011006695924616,"endHours":12.011006695924616,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.011006695924616,"endHours":13.011006695924616,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.011006695924616,"endHours":14.011006695924616,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.011006695924616,"endHours":15.011006695924616,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.011006695924616,"endHours":16.011006695924614,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.011006695924614,"endHours":17.011006695924614,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.011006695924614,"endHours":18.011006695924614,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.011006695924614,"endHours":19.011006695924614,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.011006695924614,"endHours":20.011006695924614,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.011006695924614,"endHours":21.011006695924614,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.011006695924614,"endHours":22.011006695924614,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.011006695924614,"endHours":23.011006695924614,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.011006695924614,"endHours":24.011006695924614,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.011006695924614,"endHours":25.011006695924614,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.011006695924614,"endHours":26.011006695924614,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.011006695924614,"endHours":27.011006695924614,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.011006695924614,"endHours":28.011006695924614,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.011006695924614,"endHours":29.011006695924614,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.011006695924614,"endHours":30.011006695924614,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.011006695924614,"endHours":31.011006695924614,"planetary_lord":"Saturn"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.133431150719183,"eotMinutes":16.45277955052819,"ayanamsa":25.5968}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Navamī · 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 31, 2124 CE · Berlin, Germany · Vidhyamitra","description":"October 31, 2124 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 07:01, sūryāsta 16:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2124-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2124-10-31","sa":"https://sa.vidhyamitra.com/city/berlin/2124-10-31","hi":"https://hi.vidhyamitra.com/city/berlin/2124-10-31","x-default":"https://vidhyamitra.com/city/berlin/2124-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:20:33.846Z","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":"2026-06-03T01:20:33.846Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:20:33.846Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}