{"id":"vidhyamitra:city-day:agra:2002-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-05-15","date_display":"May 15, 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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452409.770833,"kali_year":5104,"ahargana":1863944.2708,"sun":{"sidereal_longitude":30.1504,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":61.5058,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.3554,"elapsed_within_tithi_degrees":7.3554},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.5058,"elapsed_within_degrees":8.1725},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.6562},"karana":{"half_tithi_index":5,"name":"Gara"},"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":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452409.770833,"ahargana":1863944.2708,"kali_year":5104,"ayanamsa_lahiri":23.8861,"grahas":{"sun":{"sidereal_longitude":30.171969999999988,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":60.365369999999984,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":0.176},"mars":{"sidereal_longitude":57.213070000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":46.25986999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":79.34737000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":59.477769999999964,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":51.242369999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":59.2626,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.2626,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452409.770833,"kali_year":5104,"ahargana":1863944.2708,"sun":{"sidereal_longitude":30.1504,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":61.5058,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.3554,"elapsed_within_tithi_degrees":7.3554},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.5058,"elapsed_within_degrees":8.1725},"yoga":{"number":7,"name":"Sukarma","sum_longitude":91.6562},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.176,"elongation":31.355},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.176,"opposition_distance":148.645}},"eclipse_window_40days":[]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"05:30","sunsetLocal":"18:58","solarNoonLocal":"12:14","dayLengthHours":13.475061002069474,"dayLengthDisplay":"13 Hours 28 Mins 30 Secs","nightLengthDisplay":"10 Hours 31 Mins 30 Secs","moonriseLocal":"07:21","moonsetLocal":"21:09","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:55","startHours":12.2368566510679,"endHours":13.921239276326585,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:52","startHours":7.183708775291847,"endHours":8.868091400550531,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"12:14","startHours":10.552474025809214,"endHours":12.2368566510679,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.643507050516039,"endHours":9.092675750585023,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:25","startHours":6.0607870251193905,"endHours":6.4201219851745766,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:41","startHours":11.787687950998917,"endHours":12.686025351136882,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:36","startHours":3.702651349757233,"endHours":4.600988749895198,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:30","startHours":4.376404399860706,"endHours":5.499326150033163,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:23","startHours":14.482700151412812,"endHours":15.381037551550778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.774387152102637,"endHours":19.174387152102636,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:32","startHours":18.974387152102636,"endHours":19.535848027188866,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.724387152102636,"endHours":20.474387152102636,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:41","startHours":23.78768795099892,"endHours":24.68602535113688,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:30","end":"07:11","startHours":5.499326150033163,"endHours":7.183708775291847,"quality":"auspicious"},{"name":"Amṛta","start":"07:11","end":"08:52","startHours":7.183708775291847,"endHours":8.868091400550531,"quality":"auspicious"},{"name":"Kāla","start":"08:52","end":"10:33","startHours":8.868091400550531,"endHours":10.552474025809214,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"12:14","startHours":10.552474025809214,"endHours":12.2368566510679,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:55","startHours":12.2368566510679,"endHours":13.921239276326585,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:36","startHours":13.921239276326585,"endHours":15.605621901585268,"quality":"inauspicious"},{"name":"Chala","start":"15:36","end":"17:17","startHours":15.605621901585268,"endHours":17.29000452684395,"quality":"neutral"},{"name":"Labha","start":"17:17","end":"18:58","startHours":17.29000452684395,"endHours":18.974387152102636,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:58","end":"20:17","startHours":18.974387152102636,"endHours":20.29000452684395,"quality":"inauspicious"},{"name":"Chala","start":"20:17","end":"21:36","startHours":20.29000452684395,"endHours":21.605621901585266,"quality":"neutral"},{"name":"Labha","start":"21:36","end":"22:55","startHours":21.605621901585266,"endHours":22.921239276326585,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:14","startHours":22.921239276326585,"endHours":24.2368566510679,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:33","startHours":24.2368566510679,"endHours":25.552474025809214,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"02:52","startHours":25.552474025809214,"endHours":26.868091400550533,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"04:11","startHours":26.868091400550533,"endHours":28.183708775291848,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"05:30","startHours":28.183708775291848,"endHours":29.499326150033163,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.499326150033163,"endHours":6.499326150033163,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.499326150033163,"endHours":7.499326150033163,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.499326150033163,"endHours":8.499326150033163,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.499326150033163,"endHours":9.499326150033163,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.499326150033163,"endHours":10.499326150033163,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.499326150033163,"endHours":11.499326150033163,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.499326150033163,"endHours":12.499326150033163,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.499326150033163,"endHours":13.499326150033163,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.499326150033163,"endHours":14.499326150033163,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.499326150033163,"endHours":15.499326150033163,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.499326150033163,"endHours":16.499326150033163,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.499326150033163,"endHours":17.499326150033163,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.499326150033163,"endHours":18.499326150033163,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.499326150033163,"endHours":19.499326150033163,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.499326150033163,"endHours":20.499326150033163,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.499326150033163,"endHours":21.499326150033163,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.499326150033163,"endHours":22.499326150033163,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.499326150033163,"endHours":23.499326150033163,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.499326150033163,"endHours":24.499326150033163,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.499326150033163,"endHours":25.499326150033163,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.499326150033163,"endHours":26.499326150033163,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.499326150033163,"endHours":27.499326150033163,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.499326150033163,"endHours":28.499326150033163,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.499326150033163,"endHours":29.499326150033163,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.784470049840657,"eotMinutes":3.7562009359260493,"ayanamsa":23.8861}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Tṛtīyā · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"id":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"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":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 15, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"May 15, 2002 CE for Agra, Uttar Pradesh: Śukla Tṛtīyā, sūryodaya 05:30, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-05-15","sa":"https://sa.vidhyamitra.com/city/agra/2002-05-15","hi":"https://hi.vidhyamitra.com/city/agra/2002-05-15","x-default":"https://vidhyamitra.com/city/agra/2002-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:02:18.684Z","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":"2026-06-01T04:02:18.684Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:02:18.684Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}