{"id":"vidhyamitra:city-day:berlin:2188-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2188-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2188-01-03","date_display":"January 3, 2188 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":2188,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520212.770833,"kali_year":5289,"ahargana":1931747.2708,"sun":{"sidereal_longitude":255.1621,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.5165,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.3544,"elapsed_within_tithi_degrees":3.3544},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.5165,"elapsed_within_degrees":13.1832},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.6786},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2188,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2520212.770833,"ahargana":1931747.2708,"kali_year":5289,"ayanamsa_lahiri":26.4793,"grahas":{"sun":{"sidereal_longitude":255.84909700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":304.4092969999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-3.8876},"mars":{"sidereal_longitude":288.95089699999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":245.71119699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":302.05009700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":297.4735969999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":174.76869699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":66.7334,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":246.7334,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2188,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520212.770833,"kali_year":5289,"ahargana":1931747.2708,"sun":{"sidereal_longitude":255.1621,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.5165,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.3544,"elapsed_within_tithi_degrees":3.3544},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.5165,"elapsed_within_degrees":13.1832},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.6786},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.888,"elongation":51.354},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.888,"opposition_distance":128.646}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-0.699,"opposition_distance":2.066}]},"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":"08:17","sunsetLocal":"16:05","solarNoonLocal":"12:11","dayLengthHours":7.786245073475197,"dayLengthDisplay":"7 Hours 47 Mins 10 Secs","nightLengthDisplay":"16 Hours 12 Mins 50 Secs","moonriseLocal":"10:21","moonsetLocal":"20:30","rahuKala":{"name":"Rāhu Kāla","start":"13:09","end":"14:08","startHours":13.15610431469537,"endHours":14.129384948879768,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:17","end":"09:16","startHours":8.289701143773371,"endHours":9.262981777957771,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:14","end":"11:13","startHours":10.236262412142171,"endHours":11.20954304632657,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.106491660917584,"endHours":10.366033163366756,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:49","startHours":8.614128021834837,"endHours":8.821761223794176,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:27","startHours":11.923282178061797,"endHours":12.442365182960142,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:15","end":"07:46","startHours":7.251535133976678,"endHours":7.770618138875024,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:38","end":"08:17","startHours":7.640847387650438,"endHours":8.289701143773371,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:00","startHours":13.480531192756835,"endHours":13.999614197655182,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:53","end":"16:17","startHours":15.875946217248568,"endHours":16.275946217248567,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:05","end":"16:24","startHours":16.075946217248568,"endHours":16.400373095310034,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:50","end":"17:35","startHours":15.825946217248568,"endHours":17.575946217248568,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:27","startHours":23.923282178061797,"endHours":24.442365182960145,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:17","end":"09:16","startHours":8.289701143773371,"endHours":9.262981777957771,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:14","startHours":9.262981777957771,"endHours":10.236262412142171,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:13","startHours":10.236262412142171,"endHours":11.20954304632657,"quality":"inauspicious"},{"name":"Chala","start":"11:13","end":"12:11","startHours":11.20954304632657,"endHours":12.18282368051097,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:09","startHours":12.18282368051097,"endHours":13.15610431469537,"quality":"auspicious"},{"name":"Amṛta","start":"13:09","end":"14:08","startHours":13.15610431469537,"endHours":14.129384948879768,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:06","startHours":14.129384948879768,"endHours":15.102665583064168,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:05","startHours":15.102665583064168,"endHours":16.075946217248568,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:05","end":"18:06","startHours":16.075946217248568,"endHours":18.10266558306417,"quality":"auspicious"},{"name":"Kāla","start":"18:06","end":"20:08","startHours":18.10266558306417,"endHours":20.129384948879768,"quality":"inauspicious"},{"name":"Śubha","start":"20:08","end":"22:09","startHours":20.129384948879768,"endHours":22.15610431469537,"quality":"auspicious"},{"name":"Roga","start":"22:09","end":"00:11","startHours":22.15610431469537,"endHours":24.18282368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"02:13","startHours":24.18282368051097,"endHours":26.20954304632657,"quality":"inauspicious"},{"name":"Chala","start":"02:13","end":"04:14","startHours":26.20954304632657,"endHours":28.23626241214217,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"06:16","startHours":28.23626241214217,"endHours":30.26298177795777,"quality":"auspicious"},{"name":"Amṛta","start":"06:16","end":"08:17","startHours":30.26298177795777,"endHours":32.28970114377337,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.289701143773371,"endHours":9.289701143773371,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.289701143773371,"endHours":10.289701143773371,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.289701143773371,"endHours":11.289701143773371,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.289701143773371,"endHours":12.289701143773371,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.289701143773371,"endHours":13.289701143773371,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.289701143773371,"endHours":14.289701143773371,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.289701143773371,"endHours":15.289701143773371,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.289701143773371,"endHours":16.28970114377337,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.28970114377337,"endHours":17.28970114377337,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.28970114377337,"endHours":18.28970114377337,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.28970114377337,"endHours":19.28970114377337,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.28970114377337,"endHours":20.28970114377337,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.28970114377337,"endHours":21.28970114377337,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.28970114377337,"endHours":22.28970114377337,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.28970114377337,"endHours":23.28970114377337,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.28970114377337,"endHours":24.28970114377337,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.28970114377337,"endHours":25.28970114377337,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.28970114377337,"endHours":26.28970114377337,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.28970114377337,"endHours":27.28970114377337,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.28970114377337,"endHours":28.28970114377337,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.28970114377337,"endHours":29.28970114377337,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.28970114377337,"endHours":30.28970114377337,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.28970114377337,"endHours":31.28970114377337,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.28970114377337,"endHours":32.28970114377337,"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","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":-22.86497153942539,"eotMinutes":-4.589420830658165,"ayanamsa":26.4793}},"calendars":{"vikram_samvat":2245,"vikram_samvatsara":"Plava","saka_samvat":2110,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1595,"malayalam_era":1364,"nanakshahi_year":719,"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 Pañcamī · Vikram 2245 Plava · Śaka 2110 Sarvadhāri"},"festivals":[],"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 3, 2188 CE · Berlin, Germany · Vidhyamitra","description":"January 3, 2188 CE for Berlin, Germany: Śukla Pañcamī, sūryodaya 08:17, sūryāsta 16:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2188-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2188-01-03","sa":"https://sa.vidhyamitra.com/city/berlin/2188-01-03","hi":"https://hi.vidhyamitra.com/city/berlin/2188-01-03","x-default":"https://vidhyamitra.com/city/berlin/2188-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-06T06:27:39.676Z","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":"2026-06-06T06:27:39.676Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-06T06:27:39.676Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}