{"id":"vidhyamitra:city-day:noida:2016-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2016-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-01-04","date_display":"January 4, 2016 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":2016,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457391.770833,"kali_year":5117,"ahargana":1868926.2708,"sun":{"sidereal_longitude":258.7668,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.4118,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6449,"elapsed_within_tithi_degrees":1.6449},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.4118,"elapsed_within_degrees":1.7451},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.1786},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2016,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457391.770833,"ahargana":1868926.2708,"kali_year":5117,"ayanamsa_lahiri":24.0766,"grahas":{"sun":{"sidereal_longitude":259.01732100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":188.54352100000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":2.457},"mars":{"sidereal_longitude":185.93122100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":276.62812099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":148.404721,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":221.445021,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":227.17072099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":155.2923,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":335.2923,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2016,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457391.770833,"kali_year":5117,"ahargana":1868926.2708,"sun":{"sidereal_longitude":258.7668,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.4118,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6449,"elapsed_within_tithi_degrees":1.6449},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.4118,"elapsed_within_degrees":1.7451},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.1786},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.457,"elongation":70.355},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.457,"opposition_distance":109.645}},"eclipse_window_40days":[]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:14","sunsetLocal":"17:37","solarNoonLocal":"12:25","dayLengthHours":10.379476390545447,"dayLengthDisplay":"10 Hours 22 Mins 46 Secs","nightLengthDisplay":"13 Hours 37 Mins 14 Secs","moonriseLocal":"02:08","moonsetLocal":"13:19","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:50","startHours":8.53202813463456,"endHours":9.829462683452741,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:25","startHours":11.12689723227092,"endHours":12.424331781089101,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.721766329907283,"endHours":15.019200878725464,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.656471410276982,"endHours":10.002453956628498,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.667071768755773,"endHours":7.943857805836985,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.078349234737587,"endHours":12.770314327440616,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.850663400410319,"endHours":6.542628493113349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.369637219937592,"endHours":7.234593585816379,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.154244512846677,"endHours":14.846209605549706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.414069976361827,"endHours":17.814069976361825,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.614069976361826,"endHours":18.04654815930122,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.364069976361826,"endHours":19.114069976361826,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.078349234737587,"endHours":24.770314327440616,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:14","end":"08:32","startHours":7.234593585816379,"endHours":8.53202813463456,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:50","startHours":8.53202813463456,"endHours":9.829462683452741,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:08","startHours":9.829462683452741,"endHours":11.12689723227092,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:25","startHours":11.12689723227092,"endHours":12.424331781089101,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:43","startHours":12.424331781089101,"endHours":13.721766329907283,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.721766329907283,"endHours":15.019200878725464,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.019200878725464,"endHours":16.316635427543645,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.316635427543645,"endHours":17.614069976361826,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.614069976361826,"endHours":19.316635427543645,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.316635427543645,"endHours":21.019200878725464,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.019200878725464,"endHours":22.721766329907283,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:25","startHours":22.721766329907283,"endHours":24.4243317810891,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:08","startHours":24.4243317810891,"endHours":26.12689723227092,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:50","startHours":26.12689723227092,"endHours":27.82946268345274,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:32","startHours":27.82946268345274,"endHours":29.532028134634558,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:14","startHours":29.532028134634558,"endHours":31.234593585816377,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.234593585816379,"endHours":8.234593585816379,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.234593585816379,"endHours":9.234593585816379,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.234593585816379,"endHours":10.234593585816379,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.234593585816379,"endHours":11.234593585816379,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.234593585816379,"endHours":12.234593585816379,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.234593585816379,"endHours":13.234593585816379,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.234593585816379,"endHours":14.234593585816379,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.234593585816379,"endHours":15.234593585816379,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.234593585816379,"endHours":16.234593585816377,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.234593585816377,"endHours":17.234593585816377,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.234593585816377,"endHours":18.234593585816377,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.234593585816377,"endHours":19.234593585816377,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.234593585816377,"endHours":20.234593585816377,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.234593585816377,"endHours":21.234593585816377,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.234593585816377,"endHours":22.234593585816377,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.234593585816377,"endHours":23.234593585816377,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.234593585816377,"endHours":24.234593585816377,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.234593585816377,"endHours":25.234593585816377,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.234593585816377,"endHours":26.234593585816377,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.234593585816377,"endHours":27.234593585816377,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.234593585816377,"endHours":28.234593585816377,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.234593585816377,"endHours":29.234593585816377,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.234593585816377,"endHours":30.234593585816377,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.234593585816377,"endHours":31.234593585816377,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.792283057437885,"eotMinutes":-5.02390686534617,"ayanamsa":24.0766}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"noida"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 4, 2016 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 4, 2016 CE for Noida, Uttar Pradesh: Kṛṣṇa Daśamī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2016-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2016-01-04","sa":"https://sa.vidhyamitra.com/city/noida/2016-01-04","hi":"https://hi.vidhyamitra.com/city/noida/2016-01-04","x-default":"https://vidhyamitra.com/city/noida/2016-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T11:17:43.107Z","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":"2026-05-15T11:17:43.107Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T11:17:43.107Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}