{"id":"vidhyamitra:city-day:berlin:2075-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2075-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-03","date_display":"January 3, 2075 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":2075,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478940.770833,"kali_year":5176,"ahargana":1890475.2708,"sun":{"sidereal_longitude":257.4646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":85.3761,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9115,"elapsed_within_tithi_degrees":7.9115},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3761,"elapsed_within_degrees":5.3761},"yoga":{"number":26,"name":"Indra","sum_longitude":342.8407},"karana":{"half_tithi_index":31,"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":2075,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478940.770833,"ahargana":1890475.2708,"kali_year":5176,"ayanamsa_lahiri":24.9008,"grahas":{"sun":{"sidereal_longitude":257.86489000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":84.90609,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-0.637},"mars":{"sidereal_longitude":271.45009000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":276.29929000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":138.22669000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":210.50128999999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.63509,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":93.5225,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.5225,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478940.770833,"kali_year":5176,"ahargana":1890475.2708,"sun":{"sidereal_longitude":257.4646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":85.3761,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9115,"elapsed_within_tithi_degrees":7.9115},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3761,"elapsed_within_degrees":5.3761},"yoga":{"number":26,"name":"Indra","sum_longitude":342.8407},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.637,"elongation":172.088},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.637,"opposition_distance":7.912}},"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":"08:17","sunsetLocal":"16:05","solarNoonLocal":"12:11","dayLengthHours":7.7960274985870335,"dayLengthDisplay":"7 Hours 47 Mins 46 Secs","nightLengthDisplay":"16 Hours 12 Mins 14 Secs","moonriseLocal":"16:27","moonsetLocal":"08:51","rahuKala":{"name":"Rāhu Kāla","start":"13:09","end":"14:08","startHours":13.157327117834349,"endHours":14.131830555157727,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:17","end":"09:16","startHours":8.284809931217453,"endHours":9.259313368540832,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:14","end":"11:12","startHours":10.233816805864212,"endHours":11.20832024318759,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.103883014221093,"endHours":10.363750597507329,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:49","startHours":8.609644410325245,"endHours":8.817538476954233,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:27","startHours":11.922956097224734,"endHours":12.442691263797204,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:15","end":"07:46","startHours":7.245339598072515,"endHours":7.765074764644984,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:38","end":"08:17","startHours":7.6351409730018664,"endHours":8.284809931217453,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:00","startHours":13.482161596942142,"endHours":14.00189676351461,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:53","end":"16:17","startHours":15.880837429804487,"endHours":16.280837429804485,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:05","end":"16:24","startHours":16.080837429804486,"endHours":16.40567190891228,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:50","end":"17:35","startHours":15.830837429804486,"endHours":17.580837429804486,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:27","startHours":23.922956097224738,"endHours":24.442691263797204,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:17","end":"09:16","startHours":8.284809931217453,"endHours":9.259313368540832,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:14","startHours":9.259313368540832,"endHours":10.233816805864212,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:12","startHours":10.233816805864212,"endHours":11.20832024318759,"quality":"inauspicious"},{"name":"Chala","start":"11:12","end":"12:11","startHours":11.20832024318759,"endHours":12.18282368051097,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:09","startHours":12.18282368051097,"endHours":13.157327117834349,"quality":"auspicious"},{"name":"Amṛta","start":"13:09","end":"14:08","startHours":13.157327117834349,"endHours":14.131830555157727,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:06","startHours":14.131830555157727,"endHours":15.106333992481106,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:05","startHours":15.106333992481106,"endHours":16.080837429804486,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:05","end":"18:06","startHours":16.080837429804486,"endHours":18.106333992481108,"quality":"auspicious"},{"name":"Kāla","start":"18:06","end":"20:08","startHours":18.106333992481108,"endHours":20.131830555157727,"quality":"inauspicious"},{"name":"Śubha","start":"20:08","end":"22:09","startHours":20.131830555157727,"endHours":22.15732711783435,"quality":"auspicious"},{"name":"Roga","start":"22:09","end":"00:11","startHours":22.15732711783435,"endHours":24.18282368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"02:12","startHours":24.18282368051097,"endHours":26.20832024318759,"quality":"inauspicious"},{"name":"Chala","start":"02:12","end":"04:14","startHours":26.20832024318759,"endHours":28.233816805864212,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"06:16","startHours":28.233816805864212,"endHours":30.25931336854083,"quality":"auspicious"},{"name":"Amṛta","start":"06:16","end":"08:17","startHours":30.25931336854083,"endHours":32.28480993121745,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.284809931217453,"endHours":9.284809931217453,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.284809931217453,"endHours":10.284809931217453,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.284809931217453,"endHours":11.284809931217453,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.284809931217453,"endHours":12.284809931217453,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.284809931217453,"endHours":13.284809931217453,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.284809931217453,"endHours":14.284809931217453,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.284809931217453,"endHours":15.284809931217453,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.284809931217453,"endHours":16.284809931217453,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.284809931217453,"endHours":17.284809931217453,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.284809931217453,"endHours":18.284809931217453,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.284809931217453,"endHours":19.284809931217453,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.284809931217453,"endHours":20.284809931217453,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.284809931217453,"endHours":21.284809931217453,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.284809931217453,"endHours":22.284809931217453,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.284809931217453,"endHours":23.284809931217453,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.284809931217453,"endHours":24.284809931217453,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.284809931217453,"endHours":25.284809931217453,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.284809931217453,"endHours":26.284809931217453,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.284809931217453,"endHours":27.284809931217453,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.284809931217453,"endHours":28.284809931217453,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.284809931217453,"endHours":29.284809931217453,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.284809931217453,"endHours":30.284809931217453,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.284809931217453,"endHours":31.284809931217453,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.284809931217453,"endHours":32.28480993121745,"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","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":-22.82397190411441,"eotMinutes":-4.589420830658165,"ayanamsa":24.9008}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 Pratipada · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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, 2075 CE · Berlin, Germany · Vidhyamitra","description":"January 3, 2075 CE for Berlin, Germany: Kṛṣṇa Pratipada, sūryodaya 08:17, sūryāsta 16:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2075-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2075-01-03","sa":"https://sa.vidhyamitra.com/city/berlin/2075-01-03","hi":"https://hi.vidhyamitra.com/city/berlin/2075-01-03","x-default":"https://vidhyamitra.com/city/berlin/2075-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:50:28.144Z","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":"2026-06-01T10:50:28.144Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:50:28.144Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}