{"id":"vidhyamitra:city-day:berlin:2103-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2103-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-15","date_display":"January 15, 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":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489178.770833,"kali_year":5204,"ahargana":1900713.2708,"sun":{"sidereal_longitude":268.5186,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.7356,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.217,"elapsed_within_tithi_degrees":10.217},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.7356,"elapsed_within_degrees":4.0689},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.2542},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489178.770833,"ahargana":1900713.2708,"kali_year":5204,"ayanamsa_lahiri":25.2924,"grahas":{"sun":{"sidereal_longitude":268.89032399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.396224,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":4.4269},"mars":{"sidereal_longitude":251.926424,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":244.23062400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":253.90592400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":293.474824,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":213.100824,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.064,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.064,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489178.770833,"kali_year":5204,"ahargana":1900713.2708,"sun":{"sidereal_longitude":268.5186,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.7356,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.217,"elapsed_within_tithi_degrees":10.217},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.7356,"elapsed_within_degrees":4.0689},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.2542},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.427,"elongation":82.217},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.427,"opposition_distance":97.783}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":"08:11","sunsetLocal":"16:20","solarNoonLocal":"12:16","dayLengthHours":8.15651426293149,"dayLengthDisplay":"8 Hours 09 Mins 23 Secs","nightLengthDisplay":"15 Hours 50 Mins 37 Secs","moonriseLocal":"11:13","moonsetLocal":"00:42","rahuKala":{"name":"Rāhu Kāla","start":"09:12","end":"10:13","startHours":9.203472975502914,"endHours":10.223037258369349,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:15","end":"12:16","startHours":11.242601541235786,"endHours":12.262165824102222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:17","end":"14:18","startHours":13.281730106968658,"endHours":14.301294389835094,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:05","end":"10:22","startHours":10.087095353987158,"endHours":10.358979162751542,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:31","end":"08:44","startHours":8.523763453591956,"endHours":8.741270500603463,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:32","startHours":11.990282015337838,"endHours":12.534049632866603,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:06","end":"07:38","startHours":7.096373457578945,"endHours":7.640141075107711,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:30","end":"08:11","startHours":7.504199170725519,"endHours":8.183908692636477,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:10","startHours":13.621584867924136,"endHours":14.165352485452903,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:08","end":"16:32","startHours":16.140422955567967,"endHours":16.540422955567966,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:20","end":"16:41","startHours":16.340422955567966,"endHours":16.680277716523445,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:05","end":"17:50","startHours":16.090422955567966,"endHours":17.840422955567966,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:32","startHours":23.990282015337836,"endHours":24.5340496328666,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"08:11","end":"09:12","startHours":8.183908692636477,"endHours":9.203472975502914,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:13","startHours":9.203472975502914,"endHours":10.223037258369349,"quality":"inauspicious"},{"name":"Śubha","start":"10:13","end":"11:15","startHours":10.223037258369349,"endHours":11.242601541235786,"quality":"auspicious"},{"name":"Roga","start":"11:15","end":"12:16","startHours":11.242601541235786,"endHours":12.262165824102222,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:17","startHours":12.262165824102222,"endHours":13.281730106968658,"quality":"inauspicious"},{"name":"Chala","start":"13:17","end":"14:18","startHours":13.281730106968658,"endHours":14.301294389835094,"quality":"neutral"},{"name":"Labha","start":"14:18","end":"15:19","startHours":14.301294389835094,"endHours":15.32085867270153,"quality":"auspicious"},{"name":"Amṛta","start":"15:19","end":"16:20","startHours":15.32085867270153,"endHours":16.340422955567966,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:20","end":"18:19","startHours":16.340422955567966,"endHours":18.32085867270153,"quality":"neutral"},{"name":"Labha","start":"18:19","end":"20:18","startHours":18.32085867270153,"endHours":20.301294389835093,"quality":"auspicious"},{"name":"Amṛta","start":"20:18","end":"22:17","startHours":20.301294389835093,"endHours":22.28173010696866,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"00:16","startHours":22.28173010696866,"endHours":24.262165824102222,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"02:15","startHours":24.262165824102222,"endHours":26.242601541235786,"quality":"auspicious"},{"name":"Roga","start":"02:15","end":"04:13","startHours":26.242601541235786,"endHours":28.22303725836935,"quality":"inauspicious"},{"name":"Udveg","start":"04:13","end":"06:12","startHours":28.22303725836935,"endHours":30.203472975502912,"quality":"inauspicious"},{"name":"Chala","start":"06:12","end":"08:11","startHours":30.203472975502912,"endHours":32.18390869263648,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"08:11","end":"09:11","startHours":8.183908692636477,"endHours":9.183908692636477,"planetary_lord":"Moon"},{"name":"Hora 2","start":"09:11","end":"10:11","startHours":9.183908692636477,"endHours":10.183908692636477,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"10:11","end":"11:11","startHours":10.183908692636477,"endHours":11.183908692636477,"planetary_lord":"Venus"},{"name":"Hora 4","start":"11:11","end":"12:11","startHours":11.183908692636477,"endHours":12.183908692636477,"planetary_lord":"Sun"},{"name":"Hora 5","start":"12:11","end":"13:11","startHours":12.183908692636477,"endHours":13.183908692636477,"planetary_lord":"Mars"},{"name":"Hora 6","start":"13:11","end":"14:11","startHours":13.183908692636477,"endHours":14.183908692636477,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"14:11","end":"15:11","startHours":14.183908692636477,"endHours":15.183908692636477,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"15:11","end":"16:11","startHours":15.183908692636477,"endHours":16.18390869263648,"planetary_lord":"Moon"},{"name":"Hora 9","start":"16:11","end":"17:11","startHours":16.18390869263648,"endHours":17.18390869263648,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"17:11","end":"18:11","startHours":17.18390869263648,"endHours":18.18390869263648,"planetary_lord":"Venus"},{"name":"Hora 11","start":"18:11","end":"19:11","startHours":18.18390869263648,"endHours":19.18390869263648,"planetary_lord":"Sun"},{"name":"Hora 12","start":"19:11","end":"20:11","startHours":19.18390869263648,"endHours":20.18390869263648,"planetary_lord":"Mars"},{"name":"Hora 13","start":"20:11","end":"21:11","startHours":20.18390869263648,"endHours":21.18390869263648,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"21:11","end":"22:11","startHours":21.18390869263648,"endHours":22.18390869263648,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"22:11","end":"23:11","startHours":22.18390869263648,"endHours":23.18390869263648,"planetary_lord":"Moon"},{"name":"Hora 16","start":"23:11","end":"00:11","startHours":23.18390869263648,"endHours":24.18390869263648,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"00:11","end":"01:11","startHours":24.18390869263648,"endHours":25.18390869263648,"planetary_lord":"Venus"},{"name":"Hora 18","start":"01:11","end":"02:11","startHours":25.18390869263648,"endHours":26.18390869263648,"planetary_lord":"Sun"},{"name":"Hora 19","start":"02:11","end":"03:11","startHours":26.18390869263648,"endHours":27.18390869263648,"planetary_lord":"Mars"},{"name":"Hora 20","start":"03:11","end":"04:11","startHours":27.18390869263648,"endHours":28.18390869263648,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"04:11","end":"05:11","startHours":28.18390869263648,"endHours":29.18390869263648,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"05:11","end":"06:11","startHours":29.18390869263648,"endHours":30.18390869263648,"planetary_lord":"Moon"},{"name":"Hora 23","start":"06:11","end":"07:11","startHours":30.18390869263648,"endHours":31.18390869263648,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"07:11","end":"08:11","startHours":31.18390869263648,"endHours":32.18390869263648,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":-21.274031813029456,"eotMinutes":-9.349949446133257,"ayanamsa":25.2924}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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 Saptamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 2103 CE · Berlin, Germany · Vidhyamitra","description":"January 15, 2103 CE for Berlin, Germany: Śukla Saptamī, sūryodaya 08:11, sūryāsta 16:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2103-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2103-01-15","sa":"https://sa.vidhyamitra.com/city/berlin/2103-01-15","hi":"https://hi.vidhyamitra.com/city/berlin/2103-01-15","x-default":"https://vidhyamitra.com/city/berlin/2103-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:02:08.728Z","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":"2026-06-01T19:02:08.728Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:02:08.728Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}