{"id":"vidhyamitra:city-day:berlin:2002-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2002-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-01-02","date_display":"January 2, 2002 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":2002,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452276.770833,"kali_year":5103,"ahargana":1863811.2708,"sun":{"sidereal_longitude":257.3507,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":109.9421,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.5914,"elapsed_within_tithi_degrees":8.5914},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.9421,"elapsed_within_degrees":3.2755},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2928},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2002,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452276.770833,"ahargana":1863811.2708,"kali_year":5103,"ayanamsa_lahiri":23.881,"grahas":{"sun":{"sidereal_longitude":257.580651,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":112.44305099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":3.1035},"mars":{"sidereal_longitude":323.768651,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.37115100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":76.54515100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":254.60165099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":45.26965100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":66.3096,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":246.3096,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"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":2002,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452276.770833,"kali_year":5103,"ahargana":1863811.2708,"sun":{"sidereal_longitude":257.3507,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":109.9421,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.5914,"elapsed_within_tithi_degrees":8.5914},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.9421,"elapsed_within_degrees":3.2755},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2928},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.103,"elongation":147.409},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.103,"opposition_distance":32.591}},"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":"16:04","solarNoonLocal":"12:11","dayLengthHours":7.76780374134664,"dayLengthDisplay":"7 Hours 46 Mins 04 Secs","nightLengthDisplay":"16 Hours 13 Mins 56 Secs","moonriseLocal":"18:58","moonsetLocal":"10:02","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:09","startHours":12.175495168089224,"endHours":13.146470635757554,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:16","end":"10:14","startHours":9.262568765084234,"endHours":10.233544232752564,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:12","end":"12:11","startHours":11.204519700420894,"endHours":12.175495168089224,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.104080837063453,"endHours":10.363007628441675,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:49","startHours":8.61525178663868,"endHours":8.822393219741258,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:26","startHours":11.916568376711004,"endHours":12.434421959467445,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:15","end":"07:46","startHours":7.255886131903019,"endHours":7.773739714659461,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:17","startHours":7.644276318970351,"endHours":8.291593297415904,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:28","end":"13:59","startHours":13.470129124980332,"endHours":13.987982707736775,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:52","end":"16:16","startHours":15.859397038762545,"endHours":16.259397038762543,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:04","end":"16:23","startHours":16.059397038762544,"endHours":16.38305552798532,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:49","end":"17:34","startHours":15.809397038762544,"endHours":17.559397038762544,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:26","startHours":23.916568376711,"endHours":24.434421959467446,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"08:17","end":"09:16","startHours":8.291593297415904,"endHours":9.262568765084234,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:14","startHours":9.262568765084234,"endHours":10.233544232752564,"quality":"auspicious"},{"name":"Kāla","start":"10:14","end":"11:12","startHours":10.233544232752564,"endHours":11.204519700420894,"quality":"inauspicious"},{"name":"Śubha","start":"11:12","end":"12:11","startHours":11.204519700420894,"endHours":12.175495168089224,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:09","startHours":12.175495168089224,"endHours":13.146470635757554,"quality":"inauspicious"},{"name":"Udveg","start":"13:09","end":"14:07","startHours":13.146470635757554,"endHours":14.117446103425884,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:05","startHours":14.117446103425884,"endHours":15.088421571094214,"quality":"neutral"},{"name":"Labha","start":"15:05","end":"16:04","startHours":15.088421571094214,"endHours":16.059397038762544,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"16:04","end":"18:05","startHours":16.059397038762544,"endHours":18.088421571094216,"quality":"inauspicious"},{"name":"Chala","start":"18:05","end":"20:07","startHours":18.088421571094216,"endHours":20.117446103425884,"quality":"neutral"},{"name":"Labha","start":"20:07","end":"22:09","startHours":20.117446103425884,"endHours":22.146470635757552,"quality":"auspicious"},{"name":"Amṛta","start":"22:09","end":"00:11","startHours":22.146470635757552,"endHours":24.175495168089224,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"02:12","startHours":24.175495168089224,"endHours":26.204519700420896,"quality":"inauspicious"},{"name":"Śubha","start":"02:12","end":"04:14","startHours":26.204519700420896,"endHours":28.233544232752564,"quality":"auspicious"},{"name":"Roga","start":"04:14","end":"06:16","startHours":28.233544232752564,"endHours":30.262568765084232,"quality":"inauspicious"},{"name":"Udveg","start":"06:16","end":"08:17","startHours":30.262568765084232,"endHours":32.2915932974159,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.291593297415904,"endHours":9.291593297415904,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.291593297415904,"endHours":10.291593297415904,"planetary_lord":"Venus"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.291593297415904,"endHours":11.291593297415904,"planetary_lord":"Sun"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.291593297415904,"endHours":12.291593297415904,"planetary_lord":"Mars"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.291593297415904,"endHours":13.291593297415904,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.291593297415904,"endHours":14.291593297415904,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.291593297415904,"endHours":15.291593297415904,"planetary_lord":"Moon"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.291593297415904,"endHours":16.291593297415904,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.291593297415904,"endHours":17.291593297415904,"planetary_lord":"Venus"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.291593297415904,"endHours":18.291593297415904,"planetary_lord":"Sun"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.291593297415904,"endHours":19.291593297415904,"planetary_lord":"Mars"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.291593297415904,"endHours":20.291593297415904,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.291593297415904,"endHours":21.291593297415904,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.291593297415904,"endHours":22.291593297415904,"planetary_lord":"Moon"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.291593297415904,"endHours":23.291593297415904,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.291593297415904,"endHours":24.291593297415904,"planetary_lord":"Venus"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.291593297415904,"endHours":25.291593297415904,"planetary_lord":"Sun"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.291593297415904,"endHours":26.291593297415904,"planetary_lord":"Mars"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.291593297415904,"endHours":27.291593297415904,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.291593297415904,"endHours":28.291593297415904,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.291593297415904,"endHours":29.291593297415904,"planetary_lord":"Moon"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.291593297415904,"endHours":30.291593297415904,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.291593297415904,"endHours":31.291593297415904,"planetary_lord":"Venus"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.291593297415904,"endHours":32.2915932974159,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","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":-22.942108321524795,"eotMinutes":-4.149710085353452,"ayanamsa":23.881}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"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 Tṛtīyā · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 2, 2002 CE · Berlin, Germany · Vidhyamitra","description":"January 2, 2002 CE for Berlin, Germany: Kṛṣṇa Tṛtīyā, sūryodaya 08:17, sūryāsta 16:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2002-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2002-01-02","sa":"https://sa.vidhyamitra.com/city/berlin/2002-01-02","hi":"https://hi.vidhyamitra.com/city/berlin/2002-01-02","x-default":"https://vidhyamitra.com/city/berlin/2002-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:18:51.519Z","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":"2026-05-31T00:18:51.519Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:18:51.519Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}