{"id":"vidhyamitra:city-day:berlin:2181-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2181-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-01-05","date_display":"January 5, 2181 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":2181,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517658.770833,"kali_year":5282,"ahargana":1929193.2708,"sun":{"sidereal_longitude":258.0525,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":125.95,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.8975,"elapsed_within_tithi_degrees":11.8975},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.95,"elapsed_within_degrees":5.95},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.0025},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2181,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517658.770833,"ahargana":1929193.2708,"kali_year":5282,"ayanamsa_lahiri":26.3816,"grahas":{"sun":{"sidereal_longitude":258.69707800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":124.32437800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-4.3681},"mars":{"sidereal_longitude":46.972778000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":258.083478,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":112.579678,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":248.756578,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":78.90387799999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":202.0566,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.0566,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2181,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517658.770833,"kali_year":5282,"ahargana":1929193.2708,"sun":{"sidereal_longitude":258.0525,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":125.95,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.8975,"elapsed_within_tithi_degrees":11.8975},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.95,"elapsed_within_degrees":5.95},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.0025},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.368,"elongation":132.102},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.368,"opposition_distance":47.898}},"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":"08:16","sunsetLocal":"16:07","solarNoonLocal":"12:12","dayLengthHours":7.85300438126448,"dayLengthDisplay":"7 Hours 51 Mins 11 Secs","nightLengthDisplay":"16 Hours 08 Mins 49 Secs","moonriseLocal":"20:10","moonsetLocal":"10:18","rahuKala":{"name":"Rāhu Kāla","start":"11:13","end":"12:12","startHours":11.215587296077992,"endHours":12.197212843736052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:10","end":"15:09","startHours":14.160463939052171,"endHours":15.142089486710232,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:15","end":"10:14","startHours":9.252336200761873,"endHours":10.233961748419933,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.103078342065524,"endHours":10.36484515477434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.597919168989833,"endHours":8.807332619156886,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:28","startHours":11.935446031027237,"endHours":12.458979656444868,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:13","end":"07:45","startHours":7.223643402268548,"endHours":7.74717702768618,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:37","end":"08:16","startHours":7.6162936213317725,"endHours":8.270710653103812,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:02","startHours":13.506046907280133,"endHours":14.029580532697766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:55","end":"16:19","startHours":15.923715034368293,"endHours":16.32371503436829,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:07","end":"16:27","startHours":16.123715034368292,"endHours":16.450923550254313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:52","end":"17:37","startHours":15.873715034368292,"endHours":17.623715034368292,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:28","startHours":23.935446031027237,"endHours":24.45897965644487,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:16","end":"09:15","startHours":8.270710653103812,"endHours":9.252336200761873,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:14","startHours":9.252336200761873,"endHours":10.233961748419933,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:13","startHours":10.233961748419933,"endHours":11.215587296077992,"quality":"auspicious"},{"name":"Kāla","start":"11:13","end":"12:12","startHours":11.215587296077992,"endHours":12.197212843736052,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:11","startHours":12.197212843736052,"endHours":13.178838391394113,"quality":"auspicious"},{"name":"Roga","start":"13:11","end":"14:10","startHours":13.178838391394113,"endHours":14.160463939052171,"quality":"inauspicious"},{"name":"Udveg","start":"14:10","end":"15:09","startHours":14.160463939052171,"endHours":15.142089486710232,"quality":"inauspicious"},{"name":"Chala","start":"15:09","end":"16:07","startHours":15.142089486710232,"endHours":16.123715034368292,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:07","end":"18:09","startHours":16.123715034368292,"endHours":18.142089486710233,"quality":"inauspicious"},{"name":"Udveg","start":"18:09","end":"20:10","startHours":18.142089486710233,"endHours":20.16046393905217,"quality":"inauspicious"},{"name":"Chala","start":"20:10","end":"22:11","startHours":20.16046393905217,"endHours":22.178838391394113,"quality":"neutral"},{"name":"Labha","start":"22:11","end":"00:12","startHours":22.178838391394113,"endHours":24.197212843736054,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"02:13","startHours":24.197212843736054,"endHours":26.21558729607799,"quality":"auspicious"},{"name":"Kāla","start":"02:13","end":"04:14","startHours":26.21558729607799,"endHours":28.233961748419933,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"06:15","startHours":28.233961748419933,"endHours":30.252336200761874,"quality":"auspicious"},{"name":"Roga","start":"06:15","end":"08:16","startHours":30.252336200761874,"endHours":32.27071065310381,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.270710653103812,"endHours":9.270710653103812,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.270710653103812,"endHours":10.270710653103812,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.270710653103812,"endHours":11.270710653103812,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.270710653103812,"endHours":12.270710653103812,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.270710653103812,"endHours":13.270710653103812,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.270710653103812,"endHours":14.270710653103812,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.270710653103812,"endHours":15.270710653103812,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.270710653103812,"endHours":16.270710653103812,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.270710653103812,"endHours":17.270710653103812,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.270710653103812,"endHours":18.270710653103812,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.270710653103812,"endHours":19.270710653103812,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.270710653103812,"endHours":20.270710653103812,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.270710653103812,"endHours":21.270710653103812,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.270710653103812,"endHours":22.270710653103812,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.270710653103812,"endHours":23.270710653103812,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.270710653103812,"endHours":24.270710653103812,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.270710653103812,"endHours":25.270710653103812,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.270710653103812,"endHours":26.270710653103812,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.270710653103812,"endHours":27.270710653103812,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.270710653103812,"endHours":28.270710653103812,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.270710653103812,"endHours":29.270710653103812,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.270710653103812,"endHours":30.270710653103812,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.270710653103812,"endHours":31.270710653103812,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.270710653103812,"endHours":32.27071065310381,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","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":-22.584052005710255,"eotMinutes":-5.452770624163118,"ayanamsa":26.3816}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Caturthī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 5, 2181 CE · Berlin, Germany · Vidhyamitra","description":"January 5, 2181 CE for Berlin, Germany: Kṛṣṇa Caturthī, sūryodaya 08:16, sūryāsta 16:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2181-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2181-01-05","sa":"https://sa.vidhyamitra.com/city/berlin/2181-01-05","hi":"https://hi.vidhyamitra.com/city/berlin/2181-01-05","x-default":"https://vidhyamitra.com/city/berlin/2181-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-06T10:36:02.876Z","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":"2026-06-06T10:36:02.876Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-06T10:36:02.876Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}