{"id":"vidhyamitra:city-day:berlin:2104-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2104-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-01-10","date_display":"January 10, 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":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489538.770833,"kali_year":5205,"ahargana":1901073.2708,"sun":{"sidereal_longitude":263.1148,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.3094,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1946,"elapsed_within_tithi_degrees":9.1946},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.3094,"elapsed_within_degrees":2.976},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4241},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489538.770833,"ahargana":1901073.2708,"kali_year":5205,"ayanamsa_lahiri":25.3061,"grahas":{"sun":{"sidereal_longitude":263.53456900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":55.985769000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":1.215},"mars":{"sidereal_longitude":96.30966899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":244.28126900000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":278.515269,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":231.65676899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":223.05806899999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":251.9895,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.9895,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2104,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489538.770833,"kali_year":5205,"ahargana":1901073.2708,"sun":{"sidereal_longitude":263.1148,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.3094,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1946,"elapsed_within_tithi_degrees":9.1946},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.3094,"elapsed_within_degrees":2.976},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4241},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.215,"elongation":153.195},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.215,"opposition_distance":26.805}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.89,"opposition_distance":1.868}]},"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":"08:15","sunsetLocal":"16:13","solarNoonLocal":"12:14","dayLengthHours":7.9637578627337735,"dayLengthDisplay":"7 Hours 57 Mins 50 Secs","nightLengthDisplay":"16 Hours 02 Mins 10 Secs","moonriseLocal":"14:03","moonsetLocal":"06:44","rahuKala":{"name":"Rāhu Kāla","start":"13:14","end":"14:13","startHours":13.226791796584486,"endHours":14.22226152942621,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:15","end":"09:15","startHours":8.249443132375879,"endHours":9.2449128652176,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:14","end":"11:14","startHours":10.240382598059321,"endHours":11.235852330901043,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.107653300347092,"endHours":10.373111895771551,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:35","end":"08:48","startHours":8.581266376656453,"endHours":8.79363325299602,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:30","startHours":11.965863468318307,"endHours":12.496780659167225,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:11","end":"07:43","startHours":7.187608750678042,"endHours":7.71852594152696,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:35","end":"08:15","startHours":7.585796643814731,"endHours":8.249443132375879,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:05","startHours":13.55861504086506,"endHours":14.089532231713978,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:01","end":"16:25","startHours":16.013200995109653,"endHours":16.41320099510965,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:13","end":"16:33","startHours":16.213200995109652,"endHours":16.545024239390226,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:58","end":"17:43","startHours":15.963200995109652,"endHours":17.713200995109652,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:30","startHours":23.965863468318307,"endHours":24.496780659167225,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:15","end":"09:15","startHours":8.249443132375879,"endHours":9.2449128652176,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:14","startHours":9.2449128652176,"endHours":10.240382598059321,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:14","startHours":10.240382598059321,"endHours":11.235852330901043,"quality":"inauspicious"},{"name":"Chala","start":"11:14","end":"12:14","startHours":11.235852330901043,"endHours":12.231322063742766,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:14","startHours":12.231322063742766,"endHours":13.226791796584486,"quality":"auspicious"},{"name":"Amṛta","start":"13:14","end":"14:13","startHours":13.226791796584486,"endHours":14.22226152942621,"quality":"auspicious"},{"name":"Kāla","start":"14:13","end":"15:13","startHours":14.22226152942621,"endHours":15.21773126226793,"quality":"inauspicious"},{"name":"Śubha","start":"15:13","end":"16:13","startHours":15.21773126226793,"endHours":16.213200995109652,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:13","end":"18:13","startHours":16.213200995109652,"endHours":18.217731262267932,"quality":"auspicious"},{"name":"Kāla","start":"18:13","end":"20:13","startHours":18.217731262267932,"endHours":20.22226152942621,"quality":"inauspicious"},{"name":"Śubha","start":"20:13","end":"22:14","startHours":20.22226152942621,"endHours":22.226791796584486,"quality":"auspicious"},{"name":"Roga","start":"22:14","end":"00:14","startHours":22.226791796584486,"endHours":24.231322063742766,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"02:14","startHours":24.231322063742766,"endHours":26.235852330901047,"quality":"inauspicious"},{"name":"Chala","start":"02:14","end":"04:14","startHours":26.235852330901047,"endHours":28.240382598059323,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"06:15","startHours":28.240382598059323,"endHours":30.2449128652176,"quality":"auspicious"},{"name":"Amṛta","start":"06:15","end":"08:15","startHours":30.2449128652176,"endHours":32.24944313237588,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:15","end":"09:15","startHours":8.249443132375879,"endHours":9.249443132375879,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:15","end":"10:15","startHours":9.249443132375879,"endHours":10.249443132375879,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:15","end":"11:15","startHours":10.249443132375879,"endHours":11.249443132375879,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:15","end":"12:15","startHours":11.249443132375879,"endHours":12.249443132375879,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:15","end":"13:15","startHours":12.249443132375879,"endHours":13.249443132375879,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:15","end":"14:15","startHours":13.249443132375879,"endHours":14.249443132375879,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:15","end":"15:15","startHours":14.249443132375879,"endHours":15.249443132375879,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:15","end":"16:15","startHours":15.249443132375879,"endHours":16.24944313237588,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:15","end":"17:15","startHours":16.24944313237588,"endHours":17.24944313237588,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:15","end":"18:15","startHours":17.24944313237588,"endHours":18.24944313237588,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:15","end":"19:15","startHours":18.24944313237588,"endHours":19.24944313237588,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:15","end":"20:15","startHours":19.24944313237588,"endHours":20.24944313237588,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:15","end":"21:15","startHours":20.24944313237588,"endHours":21.24944313237588,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:15","end":"22:15","startHours":21.24944313237588,"endHours":22.24944313237588,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:15","end":"23:15","startHours":22.24944313237588,"endHours":23.24944313237588,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:15","end":"00:15","startHours":23.24944313237588,"endHours":24.24944313237588,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:15","end":"01:15","startHours":24.24944313237588,"endHours":25.24944313237588,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:15","end":"02:15","startHours":25.24944313237588,"endHours":26.24944313237588,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:15","end":"03:15","startHours":26.24944313237588,"endHours":27.24944313237588,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:15","end":"04:15","startHours":27.24944313237588,"endHours":28.24944313237588,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:15","end":"05:15","startHours":28.24944313237588,"endHours":29.24944313237588,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:15","end":"06:15","startHours":29.24944313237588,"endHours":30.24944313237588,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:15","end":"07:15","startHours":30.24944313237588,"endHours":31.24944313237588,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:15","end":"08:15","startHours":31.24944313237588,"endHours":32.24944313237588,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.112232451698603,"eotMinutes":-7.499323824565993,"ayanamsa":25.3061}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 10, 2104 CE · Berlin, Germany · Vidhyamitra","description":"January 10, 2104 CE for Berlin, Germany: Śukla Trayodaśī, sūryodaya 08:15, sūryāsta 16:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2104-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2104-01-10","sa":"https://sa.vidhyamitra.com/city/berlin/2104-01-10","hi":"https://hi.vidhyamitra.com/city/berlin/2104-01-10","x-default":"https://vidhyamitra.com/city/berlin/2104-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:30:57.103Z","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":"2026-06-02T18:30:57.103Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:30:57.103Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}