{"id":"vidhyamitra:city-day:noida:2002-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2002-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-31","date_display":"December 31, 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":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452639.770833,"kali_year":5104,"ahargana":1864174.2708,"sun":{"sidereal_longitude":255.0284,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":220.0358,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0074,"elapsed_within_tithi_degrees":1.0074},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.0358,"elapsed_within_degrees":6.7025},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.0642},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452639.770833,"ahargana":1864174.2708,"kali_year":5104,"ayanamsa_lahiri":23.8949,"grahas":{"sun":{"sidereal_longitude":255.28068200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":218.528282,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":0.551},"mars":{"sidereal_longitude":205.03898200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.978782,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":112.97558200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":208.788182,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":60.509882000000005,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.0761,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.0761,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452639.770833,"kali_year":5104,"ahargana":1864174.2708,"sun":{"sidereal_longitude":255.0284,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":220.0358,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0074,"elapsed_within_tithi_degrees":1.0074},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.0358,"elapsed_within_degrees":6.7025},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.0642},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.551,"elongation":34.993},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.551,"opposition_distance":145.007}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"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":"07:13","sunsetLocal":"17:34","solarNoonLocal":"12:24","dayLengthHours":10.351220824708427,"dayLengthDisplay":"10 Hours 21 Mins 04 Secs","nightLengthDisplay":"13 Hours 38 Mins 56 Secs","moonriseLocal":"04:41","moonsetLocal":"15:12","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:17","startHours":14.982675788240531,"endHours":16.276578391329082,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:06","startHours":9.807065375886317,"endHours":11.10096797897487,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"13:41","startHours":12.394870582063422,"endHours":13.688773185151977,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.634545028807842,"endHours":9.97958572296479,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.650561037405394,"endHours":7.926593592730952,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.049829887906474,"endHours":12.73991127622037,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:32","startHours":5.839097393081419,"endHours":6.529178781395315,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:13","startHours":6.356658434316841,"endHours":7.21926016970921,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.12007405284816,"endHours":14.810155441162056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.370480994417637,"endHours":17.770480994417635,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.570480994417636,"endHours":18.00178186211382,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.320480994417636,"endHours":19.070480994417636,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.049829887906476,"endHours":24.73991127622037,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:31","startHours":7.21926016970921,"endHours":8.513162772797763,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:48","startHours":8.513162772797763,"endHours":9.807065375886317,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:06","startHours":9.807065375886317,"endHours":11.10096797897487,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:24","startHours":11.10096797897487,"endHours":12.394870582063422,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"13:41","startHours":12.394870582063422,"endHours":13.688773185151977,"quality":"auspicious"},{"name":"Kāla","start":"13:41","end":"14:59","startHours":13.688773185151977,"endHours":14.982675788240531,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:17","startHours":14.982675788240531,"endHours":16.276578391329082,"quality":"auspicious"},{"name":"Roga","start":"16:17","end":"17:34","startHours":16.276578391329082,"endHours":17.570480994417636,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:34","end":"19:17","startHours":17.570480994417636,"endHours":19.276578391329082,"quality":"inauspicious"},{"name":"Śubha","start":"19:17","end":"20:59","startHours":19.276578391329082,"endHours":20.982675788240527,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:41","startHours":20.982675788240527,"endHours":22.688773185151977,"quality":"inauspicious"},{"name":"Udveg","start":"22:41","end":"00:24","startHours":22.688773185151977,"endHours":24.394870582063422,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"02:06","startHours":24.394870582063422,"endHours":26.100967978974868,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:48","startHours":26.100967978974868,"endHours":27.807065375886317,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:31","startHours":27.807065375886317,"endHours":29.513162772797763,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:13","startHours":29.513162772797763,"endHours":31.21926016970921,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.21926016970921,"endHours":8.219260169709209,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.219260169709209,"endHours":9.219260169709209,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.219260169709209,"endHours":10.219260169709209,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.219260169709209,"endHours":11.219260169709209,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.219260169709209,"endHours":12.219260169709209,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.219260169709209,"endHours":13.219260169709209,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.219260169709209,"endHours":14.219260169709209,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.219260169709209,"endHours":15.219260169709209,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.219260169709209,"endHours":16.21926016970921,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21926016970921,"endHours":17.21926016970921,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21926016970921,"endHours":18.21926016970921,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21926016970921,"endHours":19.21926016970921,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21926016970921,"endHours":20.21926016970921,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21926016970921,"endHours":21.21926016970921,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21926016970921,"endHours":22.21926016970921,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21926016970921,"endHours":23.21926016970921,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21926016970921,"endHours":24.21926016970921,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21926016970921,"endHours":25.21926016970921,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21926016970921,"endHours":26.21926016970921,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21926016970921,"endHours":27.21926016970921,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21926016970921,"endHours":28.21926016970921,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21926016970921,"endHours":29.21926016970921,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21926016970921,"endHours":30.21926016970921,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21926016970921,"endHours":31.21926016970921,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","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":-23.11906738150762,"eotMinutes":-3.2562349238053434,"ayanamsa":23.8949}},"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 Trayodaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 December 31, 2002 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"December 31, 2002 CE for Noida, Uttar Pradesh: Kṛṣṇa Trayodaśī, sūryodaya 07:13, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2002-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2002-12-31","sa":"https://sa.vidhyamitra.com/city/noida/2002-12-31","hi":"https://hi.vidhyamitra.com/city/noida/2002-12-31","x-default":"https://vidhyamitra.com/city/noida/2002-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:58:05.322Z","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":"2026-05-30T23:58:05.322Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:58:05.322Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}