{"id":"vidhyamitra:city-day:berlin:2138-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2138-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-01-16","date_display":"January 16, 2138 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":2138,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501963.770833,"kali_year":5239,"ahargana":1913498.2708,"sun":{"sidereal_longitude":269.4878,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":330.5053,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.0175,"elapsed_within_tithi_degrees":1.0175},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.5053,"elapsed_within_degrees":10.5053},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.993},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2138,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501963.770833,"ahargana":1913498.2708,"kali_year":5239,"ayanamsa_lahiri":25.7813,"grahas":{"sun":{"sidereal_longitude":269.9333429999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":334.175843,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":1.3033},"mars":{"sidereal_longitude":143.06644300000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":266.25444300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":238.28194299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":278.65464299999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":269.731043,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":313.6532,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.6532,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2138,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501963.770833,"kali_year":5239,"ahargana":1913498.2708,"sun":{"sidereal_longitude":269.4878,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":330.5053,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.0175,"elapsed_within_tithi_degrees":1.0175},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.5053,"elapsed_within_degrees":10.5053},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.993},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.303,"elongation":61.018},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.303,"opposition_distance":118.982}},"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":"08:10","sunsetLocal":"16:23","solarNoonLocal":"12:16","dayLengthHours":8.218822423567133,"dayLengthDisplay":"8 Hours 13 Mins 08 Secs","nightLengthDisplay":"15 Hours 46 Mins 52 Secs","moonriseLocal":"10:29","moonsetLocal":"22:37","rahuKala":{"name":"Rāhu Kāla","start":"13:18","end":"14:19","startHours":13.295234495308854,"endHours":14.322587298254746,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:10","end":"09:11","startHours":8.158470480579396,"endHours":9.185823283525288,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:13","end":"11:14","startHours":10.21317608647118,"endHours":11.240528889417071,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:05","end":"10:21","startHours":10.076195712745061,"endHours":10.350156460197297,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:30","end":"08:43","startHours":8.500921414894693,"endHours":8.720090012856483,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:33","startHours":11.993920944910725,"endHours":12.5418424398152,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:04","end":"07:37","startHours":7.062627490770446,"endHours":7.610548985674921,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:28","end":"08:10","startHours":7.473568611948802,"endHours":8.158470480579396,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:38","end":"14:11","startHours":13.63768542962415,"endHours":14.185606924528626,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:11","end":"16:35","startHours":16.17729290414653,"endHours":16.57729290414653,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:23","end":"16:43","startHours":16.37729290414653,"endHours":16.719743838461827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:08","end":"17:53","startHours":16.12729290414653,"endHours":17.87729290414653,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:33","startHours":23.993920944910723,"endHours":24.541842439815202,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:10","end":"09:11","startHours":8.158470480579396,"endHours":9.185823283525288,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:13","startHours":9.185823283525288,"endHours":10.21317608647118,"quality":"inauspicious"},{"name":"Udveg","start":"10:13","end":"11:14","startHours":10.21317608647118,"endHours":11.240528889417071,"quality":"inauspicious"},{"name":"Chala","start":"11:14","end":"12:16","startHours":11.240528889417071,"endHours":12.267881692362963,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:18","startHours":12.267881692362963,"endHours":13.295234495308854,"quality":"auspicious"},{"name":"Amṛta","start":"13:18","end":"14:19","startHours":13.295234495308854,"endHours":14.322587298254746,"quality":"auspicious"},{"name":"Kāla","start":"14:19","end":"15:21","startHours":14.322587298254746,"endHours":15.349940101200637,"quality":"inauspicious"},{"name":"Śubha","start":"15:21","end":"16:23","startHours":15.349940101200637,"endHours":16.37729290414653,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:23","end":"18:21","startHours":16.37729290414653,"endHours":18.349940101200637,"quality":"auspicious"},{"name":"Kāla","start":"18:21","end":"20:19","startHours":18.349940101200637,"endHours":20.322587298254746,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"22:18","startHours":20.322587298254746,"endHours":22.295234495308854,"quality":"auspicious"},{"name":"Roga","start":"22:18","end":"00:16","startHours":22.295234495308854,"endHours":24.267881692362963,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"02:14","startHours":24.267881692362963,"endHours":26.24052888941707,"quality":"inauspicious"},{"name":"Chala","start":"02:14","end":"04:13","startHours":26.24052888941707,"endHours":28.21317608647118,"quality":"neutral"},{"name":"Labha","start":"04:13","end":"06:11","startHours":28.21317608647118,"endHours":30.185823283525288,"quality":"auspicious"},{"name":"Amṛta","start":"06:11","end":"08:10","startHours":30.185823283525288,"endHours":32.158470480579396,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:10","end":"09:10","startHours":8.158470480579396,"endHours":9.158470480579396,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:10","end":"10:10","startHours":9.158470480579396,"endHours":10.158470480579396,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:10","end":"11:10","startHours":10.158470480579396,"endHours":11.158470480579396,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:10","end":"12:10","startHours":11.158470480579396,"endHours":12.158470480579396,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:10","end":"13:10","startHours":12.158470480579396,"endHours":13.158470480579396,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:10","end":"14:10","startHours":13.158470480579396,"endHours":14.158470480579396,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:10","end":"15:10","startHours":14.158470480579396,"endHours":15.158470480579396,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:10","end":"16:10","startHours":15.158470480579396,"endHours":16.158470480579396,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:10","end":"17:10","startHours":16.158470480579396,"endHours":17.158470480579396,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:10","end":"18:10","startHours":17.158470480579396,"endHours":18.158470480579396,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:10","end":"19:10","startHours":18.158470480579396,"endHours":19.158470480579396,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:10","end":"20:10","startHours":19.158470480579396,"endHours":20.158470480579396,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:10","end":"21:10","startHours":20.158470480579396,"endHours":21.158470480579396,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:10","end":"22:10","startHours":21.158470480579396,"endHours":22.158470480579396,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:10","end":"23:10","startHours":22.158470480579396,"endHours":23.158470480579396,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:10","end":"00:10","startHours":23.158470480579396,"endHours":24.158470480579396,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:10","end":"01:10","startHours":24.158470480579396,"endHours":25.158470480579396,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:10","end":"02:10","startHours":25.158470480579396,"endHours":26.158470480579396,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:10","end":"03:10","startHours":26.158470480579396,"endHours":27.158470480579396,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:10","end":"04:10","startHours":27.158470480579396,"endHours":28.158470480579396,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:10","end":"05:10","startHours":28.158470480579396,"endHours":29.158470480579396,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:10","end":"06:10","startHours":29.158470480579396,"endHours":30.158470480579396,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:10","end":"07:10","startHours":30.158470480579396,"endHours":31.158470480579396,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:10","end":"08:10","startHours":31.158470480579396,"endHours":32.158470480579396,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","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":-20.998498821813442,"eotMinutes":-9.692901541777706,"ayanamsa":25.7813}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Ṣaṣṭhī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi_ingress":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_ingress":"Makara"},"precedence":2}],"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 16, 2138 CE · Berlin, Germany · Vidhyamitra","description":"January 16, 2138 CE for Berlin, Germany: Śukla Ṣaṣṭhī, sūryodaya 08:10, sūryāsta 16:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2138-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2138-01-16","sa":"https://sa.vidhyamitra.com/city/berlin/2138-01-16","hi":"https://hi.vidhyamitra.com/city/berlin/2138-01-16","x-default":"https://vidhyamitra.com/city/berlin/2138-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:23:44.767Z","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":"2026-06-01T19:23:44.767Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:23:44.767Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}