{"id":"vidhyamitra:city-day:berlin:2045-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2045-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-06","date_display":"January 6, 2045 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":2045,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467986.770833,"kali_year":5146,"ahargana":1879521.2708,"sun":{"sidereal_longitude":261.3329,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.5303,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1973,"elapsed_within_tithi_degrees":10.1973},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5303,"elapsed_within_degrees":8.8636},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8632},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":2045,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467986.770833,"ahargana":1879521.2708,"kali_year":5146,"ayanamsa_lahiri":24.4818,"grahas":{"sun":{"sidereal_longitude":261.629414,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":118.522514,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":1.4182},"mars":{"sidereal_longitude":287.41821400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":244.03211399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":287.21521400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":243.623514,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":222.23981400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.9182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.9182,"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":2045,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467986.770833,"kali_year":5146,"ahargana":1879521.2708,"sun":{"sidereal_longitude":261.3329,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.5303,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":214.1973,"elapsed_within_tithi_degrees":10.1973},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5303,"elapsed_within_degrees":8.8636},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.8632},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.418,"elongation":145.803},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.418,"opposition_distance":34.197}},"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":"16:09","solarNoonLocal":"12:12","dayLengthHours":7.881220170477642,"dayLengthDisplay":"7 Hours 52 Mins 52 Secs","nightLengthDisplay":"16 Hours 07 Mins 08 Secs","moonriseLocal":"19:21","moonsetLocal":"09:59","rahuKala":{"name":"Rāhu Kāla","start":"11:13","end":"12:12","startHours":11.21910783047319,"endHours":12.204260351782896,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:10","end":"15:10","startHours":14.174565394402306,"endHours":15.159717915712012,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:15","end":"10:14","startHours":9.24880278785378,"endHours":10.233955309163484,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.102601639655525,"endHours":10.365308978671445,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.592034440313975,"endHours":8.802200311526713,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:28","startHours":11.941553012766974,"endHours":12.466967690798818,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:13","end":"07:44","startHours":7.212820910480389,"endHours":7.738235588512231,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:36","end":"08:16","startHours":7.6068819190042705,"endHours":8.263650266544074,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:03","startHours":13.517797046862501,"endHours":14.043211724894345,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:57","end":"16:21","startHours":15.944870437021716,"endHours":16.344870437021715,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:09","end":"16:28","startHours":16.144870437021716,"endHours":16.473254610791617,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:54","end":"17:39","startHours":15.894870437021716,"endHours":17.644870437021716,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:28","startHours":23.941553012766974,"endHours":24.466967690798818,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:16","end":"09:15","startHours":8.263650266544074,"endHours":9.24880278785378,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:14","startHours":9.24880278785378,"endHours":10.233955309163484,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:13","startHours":10.233955309163484,"endHours":11.21910783047319,"quality":"auspicious"},{"name":"Kāla","start":"11:13","end":"12:12","startHours":11.21910783047319,"endHours":12.204260351782896,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:11","startHours":12.204260351782896,"endHours":13.1894128730926,"quality":"auspicious"},{"name":"Roga","start":"13:11","end":"14:10","startHours":13.1894128730926,"endHours":14.174565394402306,"quality":"inauspicious"},{"name":"Udveg","start":"14:10","end":"15:10","startHours":14.174565394402306,"endHours":15.159717915712012,"quality":"inauspicious"},{"name":"Chala","start":"15:10","end":"16:09","startHours":15.159717915712012,"endHours":16.144870437021716,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:09","end":"18:10","startHours":16.144870437021716,"endHours":18.15971791571201,"quality":"inauspicious"},{"name":"Udveg","start":"18:10","end":"20:10","startHours":18.15971791571201,"endHours":20.174565394402308,"quality":"inauspicious"},{"name":"Chala","start":"20:10","end":"22:11","startHours":20.174565394402308,"endHours":22.1894128730926,"quality":"neutral"},{"name":"Labha","start":"22:11","end":"00:12","startHours":22.1894128730926,"endHours":24.204260351782896,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"02:13","startHours":24.204260351782896,"endHours":26.21910783047319,"quality":"auspicious"},{"name":"Kāla","start":"02:13","end":"04:14","startHours":26.21910783047319,"endHours":28.233955309163484,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"06:15","startHours":28.233955309163484,"endHours":30.24880278785378,"quality":"auspicious"},{"name":"Roga","start":"06:15","end":"08:16","startHours":30.24880278785378,"endHours":32.263650266544076,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.263650266544074,"endHours":9.263650266544074,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.263650266544074,"endHours":10.263650266544074,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.263650266544074,"endHours":11.263650266544074,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.263650266544074,"endHours":12.263650266544074,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.263650266544074,"endHours":13.263650266544074,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.263650266544074,"endHours":14.263650266544074,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.263650266544074,"endHours":15.263650266544074,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.263650266544074,"endHours":16.263650266544076,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.263650266544076,"endHours":17.263650266544076,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.263650266544076,"endHours":18.263650266544076,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.263650266544076,"endHours":19.263650266544076,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.263650266544076,"endHours":20.263650266544076,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.263650266544076,"endHours":21.263650266544076,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.263650266544076,"endHours":22.263650266544076,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.263650266544076,"endHours":23.263650266544076,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.263650266544076,"endHours":24.263650266544076,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.263650266544076,"endHours":25.263650266544076,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.263650266544076,"endHours":26.263650266544076,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.263650266544076,"endHours":27.263650266544076,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.263650266544076,"endHours":28.263650266544076,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.263650266544076,"endHours":29.263650266544076,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.263650266544076,"endHours":30.263650266544076,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.263650266544076,"endHours":31.263650266544076,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.263650266544076,"endHours":32.263650266544076,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","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":-22.464532993256864,"eotMinutes":-5.875621106973772,"ayanamsa":24.4818}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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 6, 2045 CE · Berlin, Germany · Vidhyamitra","description":"January 6, 2045 CE for Berlin, Germany: Kṛṣṇa Tṛtīyā, sūryodaya 08:16, sūryāsta 16:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2045-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2045-01-06","sa":"https://sa.vidhyamitra.com/city/berlin/2045-01-06","hi":"https://hi.vidhyamitra.com/city/berlin/2045-01-06","x-default":"https://vidhyamitra.com/city/berlin/2045-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:20:37.416Z","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":"2026-06-02T11:20:37.416Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:20:37.416Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}