{"id":"vidhyamitra:city-day:berlin:2172-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2172-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-01-13","date_display":"January 13, 2172 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":2172,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514378.770833,"kali_year":5273,"ahargana":1925913.2708,"sun":{"sidereal_longitude":265.5861,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9989,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.4128,"elapsed_within_tithi_degrees":9.4128},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9989,"elapsed_within_degrees":0.3322},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.5849},"karana":{"half_tithi_index":33,"name":"Gara"},"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":2172,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514378.770833,"ahargana":1925913.2708,"kali_year":5273,"ayanamsa_lahiri":26.2562,"grahas":{"sun":{"sidereal_longitude":266.14419799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":106.754798,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":4.4991},"mars":{"sidereal_longitude":171.27469799999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":273.81419800000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":196.81809799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":308.621898,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":316.82039800000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":15.8468,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.8468,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"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":2172,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514378.770833,"kali_year":5273,"ahargana":1925913.2708,"sun":{"sidereal_longitude":265.5861,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9989,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.4128,"elapsed_within_tithi_degrees":9.4128},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9989,"elapsed_within_degrees":0.3322},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.5849},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":158.587},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":21.413}},"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":"08:12","sunsetLocal":"16:18","solarNoonLocal":"12:15","dayLengthHours":8.087840144271066,"dayLengthDisplay":"8 Hours 05 Mins 16 Secs","nightLengthDisplay":"15 Hours 54 Mins 44 Secs","moonriseLocal":"18:00","moonsetLocal":"09:15","rahuKala":{"name":"Rāhu Kāla","start":"09:13","end":"10:14","startHours":9.217325470754577,"endHours":10.228305488788461,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:14","end":"12:15","startHours":11.239285506822343,"endHours":12.250265524856227,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:16","end":"14:16","startHours":13.26124554289011,"endHours":14.272225560923992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.093508153050609,"endHours":10.363102824526312,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:33","end":"08:46","startHours":8.543338792065322,"endHours":8.759014529245883,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:31","startHours":11.980670853380525,"endHours":12.519860196331928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:08","end":"07:40","startHours":7.1279667668178845,"endHours":7.667156109769289,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:32","end":"08:12","startHours":7.532358774031438,"endHours":8.206345452720694,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:08","startHours":13.598238882234739,"endHours":14.137428225186143,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:06","end":"16:30","startHours":16.09418559699176,"endHours":16.49418559699176,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:18","end":"16:38","startHours":16.29418559699176,"endHours":16.631178936336386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:03","end":"17:48","startHours":16.04418559699176,"endHours":17.79418559699176,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:31","startHours":23.980670853380524,"endHours":24.519860196331926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"08:12","end":"09:13","startHours":8.206345452720694,"endHours":9.217325470754577,"quality":"auspicious"},{"name":"Kāla","start":"09:13","end":"10:14","startHours":9.217325470754577,"endHours":10.228305488788461,"quality":"inauspicious"},{"name":"Śubha","start":"10:14","end":"11:14","startHours":10.228305488788461,"endHours":11.239285506822343,"quality":"auspicious"},{"name":"Roga","start":"11:14","end":"12:15","startHours":11.239285506822343,"endHours":12.250265524856227,"quality":"inauspicious"},{"name":"Udveg","start":"12:15","end":"13:16","startHours":12.250265524856227,"endHours":13.26124554289011,"quality":"inauspicious"},{"name":"Chala","start":"13:16","end":"14:16","startHours":13.26124554289011,"endHours":14.272225560923992,"quality":"neutral"},{"name":"Labha","start":"14:16","end":"15:17","startHours":14.272225560923992,"endHours":15.283205578957876,"quality":"auspicious"},{"name":"Amṛta","start":"15:17","end":"16:18","startHours":15.283205578957876,"endHours":16.29418559699176,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:18","end":"18:17","startHours":16.29418559699176,"endHours":18.283205578957876,"quality":"neutral"},{"name":"Labha","start":"18:17","end":"20:16","startHours":18.283205578957876,"endHours":20.272225560923992,"quality":"auspicious"},{"name":"Amṛta","start":"20:16","end":"22:16","startHours":20.272225560923992,"endHours":22.26124554289011,"quality":"auspicious"},{"name":"Kāla","start":"22:16","end":"00:15","startHours":22.26124554289011,"endHours":24.250265524856225,"quality":"inauspicious"},{"name":"Śubha","start":"00:15","end":"02:14","startHours":24.250265524856225,"endHours":26.23928550682234,"quality":"auspicious"},{"name":"Roga","start":"02:14","end":"04:14","startHours":26.23928550682234,"endHours":28.22830548878846,"quality":"inauspicious"},{"name":"Udveg","start":"04:14","end":"06:13","startHours":28.22830548878846,"endHours":30.217325470754577,"quality":"inauspicious"},{"name":"Chala","start":"06:13","end":"08:12","startHours":30.217325470754577,"endHours":32.2063454527207,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"08:12","end":"09:12","startHours":8.206345452720694,"endHours":9.206345452720694,"planetary_lord":"Moon"},{"name":"Hora 2","start":"09:12","end":"10:12","startHours":9.206345452720694,"endHours":10.206345452720694,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"10:12","end":"11:12","startHours":10.206345452720694,"endHours":11.206345452720694,"planetary_lord":"Venus"},{"name":"Hora 4","start":"11:12","end":"12:12","startHours":11.206345452720694,"endHours":12.206345452720694,"planetary_lord":"Sun"},{"name":"Hora 5","start":"12:12","end":"13:12","startHours":12.206345452720694,"endHours":13.206345452720694,"planetary_lord":"Mars"},{"name":"Hora 6","start":"13:12","end":"14:12","startHours":13.206345452720694,"endHours":14.206345452720694,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"14:12","end":"15:12","startHours":14.206345452720694,"endHours":15.206345452720694,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"15:12","end":"16:12","startHours":15.206345452720694,"endHours":16.206345452720694,"planetary_lord":"Moon"},{"name":"Hora 9","start":"16:12","end":"17:12","startHours":16.206345452720694,"endHours":17.206345452720694,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"17:12","end":"18:12","startHours":17.206345452720694,"endHours":18.206345452720694,"planetary_lord":"Venus"},{"name":"Hora 11","start":"18:12","end":"19:12","startHours":18.206345452720694,"endHours":19.206345452720694,"planetary_lord":"Sun"},{"name":"Hora 12","start":"19:12","end":"20:12","startHours":19.206345452720694,"endHours":20.206345452720694,"planetary_lord":"Mars"},{"name":"Hora 13","start":"20:12","end":"21:12","startHours":20.206345452720694,"endHours":21.206345452720694,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"21:12","end":"22:12","startHours":21.206345452720694,"endHours":22.206345452720694,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"22:12","end":"23:12","startHours":22.206345452720694,"endHours":23.206345452720694,"planetary_lord":"Moon"},{"name":"Hora 16","start":"23:12","end":"00:12","startHours":23.206345452720694,"endHours":24.206345452720694,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"00:12","end":"01:12","startHours":24.206345452720694,"endHours":25.206345452720694,"planetary_lord":"Venus"},{"name":"Hora 18","start":"01:12","end":"02:12","startHours":25.206345452720694,"endHours":26.206345452720694,"planetary_lord":"Sun"},{"name":"Hora 19","start":"02:12","end":"03:12","startHours":26.206345452720694,"endHours":27.206345452720694,"planetary_lord":"Mars"},{"name":"Hora 20","start":"03:12","end":"04:12","startHours":27.206345452720694,"endHours":28.206345452720694,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"04:12","end":"05:12","startHours":28.206345452720694,"endHours":29.206345452720694,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"05:12","end":"06:12","startHours":29.206345452720694,"endHours":30.206345452720694,"planetary_lord":"Moon"},{"name":"Hora 23","start":"06:12","end":"07:12","startHours":30.206345452720694,"endHours":31.206345452720694,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"07:12","end":"08:12","startHours":31.206345452720694,"endHours":32.2063454527207,"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","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":-21.575128797701446,"eotMinutes":-8.635931491373626,"ayanamsa":26.2562}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Dvitīyā · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"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 13, 2172 CE · Berlin, Germany · Vidhyamitra","description":"January 13, 2172 CE for Berlin, Germany: Kṛṣṇa Dvitīyā, sūryodaya 08:12, sūryāsta 16:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2172-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2172-01-13","sa":"https://sa.vidhyamitra.com/city/berlin/2172-01-13","hi":"https://hi.vidhyamitra.com/city/berlin/2172-01-13","x-default":"https://vidhyamitra.com/city/berlin/2172-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:35:24.779Z","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":"2026-06-03T00:35:24.779Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:35:24.779Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}