{"id":"vidhyamitra:city-day:varanasi:2002-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/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":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:13","sunsetLocal":"18:35","solarNoonLocal":"11:54","dayLengthHours":13.366266402407149,"dayLengthDisplay":"13 Hours 21 Mins 59 Secs","nightLengthDisplay":"10 Hours 38 Mins 01 Secs","moonriseLocal":"07:05","moonsetLocal":"20:45","rahuKala":{"name":"Rāhu Kāla","start":"11:54","end":"13:35","startHours":11.905803317734566,"endHours":13.57658661803546,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:54","end":"08:34","startHours":6.893453416831885,"endHours":8.56423671713278,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:14","end":"11:54","startHours":10.235020017433673,"endHours":11.905803317734566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:47","startHours":8.341465610425992,"endHours":8.787007823839565,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.7795978832979555,"endHours":6.1360316540288125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.460261104320995,"endHours":12.351345531148137,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:20","startHours":3.4405012628767047,"endHours":4.331585689703847,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:13","startHours":4.108814582997062,"endHours":5.222670116530991,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.133514384802425,"endHours":15.024598811629568,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.38893651893814,"endHours":18.78893651893814,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:09","startHours":18.58893651893814,"endHours":19.145864285705105,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.33893651893814,"endHours":20.08893651893814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.460261104320995,"endHours":24.351345531148137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:13","end":"06:54","startHours":5.222670116530991,"endHours":6.893453416831885,"quality":"auspicious"},{"name":"Amṛta","start":"06:54","end":"08:34","startHours":6.893453416831885,"endHours":8.56423671713278,"quality":"auspicious"},{"name":"Kāla","start":"08:34","end":"10:14","startHours":8.56423671713278,"endHours":10.235020017433673,"quality":"inauspicious"},{"name":"Śubha","start":"10:14","end":"11:54","startHours":10.235020017433673,"endHours":11.905803317734566,"quality":"auspicious"},{"name":"Roga","start":"11:54","end":"13:35","startHours":11.905803317734566,"endHours":13.57658661803546,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"15:15","startHours":13.57658661803546,"endHours":15.247369918336354,"quality":"inauspicious"},{"name":"Chala","start":"15:15","end":"16:55","startHours":15.247369918336354,"endHours":16.918153218637247,"quality":"neutral"},{"name":"Labha","start":"16:55","end":"18:35","startHours":16.918153218637247,"endHours":18.58893651893814,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:35","end":"19:55","startHours":18.58893651893814,"endHours":19.918153218637247,"quality":"inauspicious"},{"name":"Chala","start":"19:55","end":"21:15","startHours":19.918153218637247,"endHours":21.247369918336354,"quality":"neutral"},{"name":"Labha","start":"21:15","end":"22:35","startHours":21.247369918336354,"endHours":22.57658661803546,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"23:54","startHours":22.57658661803546,"endHours":23.905803317734566,"quality":"auspicious"},{"name":"Kāla","start":"23:54","end":"01:14","startHours":23.905803317734566,"endHours":25.235020017433673,"quality":"inauspicious"},{"name":"Śubha","start":"01:14","end":"02:34","startHours":25.235020017433673,"endHours":26.56423671713278,"quality":"auspicious"},{"name":"Roga","start":"02:34","end":"03:54","startHours":26.56423671713278,"endHours":27.893453416831886,"quality":"inauspicious"},{"name":"Udveg","start":"03:54","end":"05:13","startHours":27.893453416831886,"endHours":29.222670116530992,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.222670116530991,"endHours":6.222670116530991,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.222670116530991,"endHours":7.222670116530991,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.222670116530991,"endHours":8.222670116530992,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.222670116530992,"endHours":9.222670116530992,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.222670116530992,"endHours":10.222670116530992,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.222670116530992,"endHours":11.222670116530992,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.222670116530992,"endHours":12.222670116530992,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.222670116530992,"endHours":13.222670116530992,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.222670116530992,"endHours":14.222670116530992,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.222670116530992,"endHours":15.222670116530992,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.222670116530992,"endHours":16.222670116530992,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.222670116530992,"endHours":17.222670116530992,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.222670116530992,"endHours":18.222670116530992,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.222670116530992,"endHours":19.222670116530992,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.222670116530992,"endHours":20.222670116530992,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.222670116530992,"endHours":21.222670116530992,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.222670116530992,"endHours":22.222670116530992,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.222670116530992,"endHours":23.222670116530992,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.222670116530992,"endHours":24.222670116530992,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.222670116530992,"endHours":25.222670116530992,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.222670116530992,"endHours":26.222670116530992,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.222670116530992,"endHours":27.222670116530992,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.222670116530992,"endHours":28.222670116530992,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.222670116530992,"endHours":29.222670116530992,"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"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","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":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Tṛtīyā · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"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":"varanasi"},"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 · Vārāṇasī (Kāśī) · Vidhyamitra","description":"May 15, 2002 CE for Vārāṇasī (Kāśī): Śukla Tṛtīyā, sūryodaya 05:13, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2002-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2002-05-15","sa":"https://sa.vidhyamitra.com/city/varanasi/2002-05-15","hi":"https://hi.vidhyamitra.com/city/varanasi/2002-05-15","x-default":"https://vidhyamitra.com/city/varanasi/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":"2026-05-15T00:55:17.953Z","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":"2026-05-15T00:55:17.953Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:55:17.953Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}