{"id":"vidhyamitra:city-day:mathura:2002-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2002-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-07-15","date_display":"July 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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452470.770833,"kali_year":5104,"ahargana":1864005.2708,"sun":{"sidereal_longitude":88.0873,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":147.7468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.6595,"elapsed_within_tithi_degrees":11.6595},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":147.7468,"elapsed_within_degrees":1.0802},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.8342},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2002,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452470.770833,"ahargana":1864005.2708,"kali_year":5104,"ayanamsa_lahiri":23.8884,"grahas":{"sun":{"sidereal_longitude":88.521639,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":149.796239,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.498},"mars":{"sidereal_longitude":97.00293899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":81.33893899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":92.07873899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":130.74883899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":58.99973899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":56.0305,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":236.0305,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452470.770833,"kali_year":5104,"ahargana":1864005.2708,"sun":{"sidereal_longitude":88.0873,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":147.7468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.6595,"elapsed_within_tithi_degrees":11.6595},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":147.7468,"elapsed_within_degrees":1.0802},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.8342},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.498,"elongation":59.659},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.498,"opposition_distance":120.341}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.721064854982725,"dayLengthDisplay":"13 Hours 43 Mins 16 Secs","nightLengthDisplay":"10 Hours 16 Mins 44 Secs","moonriseLocal":"10:22","moonsetLocal":"22:38","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.269414197821064,"endHours":8.984547304693905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.699680411566744,"endHours":12.414813518439585,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.129946625312426,"endHours":15.845079732185265,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.755862890444192,"endHours":9.213231718943616,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.125992126572503,"endHours":6.491887189372042,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95744468994016,"endHours":12.87218234693901,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.724805776950526,"endHours":4.639543433949374,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.410859019699663,"endHours":5.554281090948223,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701657660936707,"endHours":15.616395317935556,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.07534594593095,"endHours":19.475345945930947,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.275345945930948,"endHours":19.847056981555227,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.025345945930948,"endHours":20.775345945930948,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.957444689940164,"endHours":24.87218234693901,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.554281090948223,"endHours":7.269414197821064,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.269414197821064,"endHours":8.984547304693905,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.984547304693905,"endHours":10.699680411566744,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.699680411566744,"endHours":12.414813518439585,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.414813518439585,"endHours":14.129946625312426,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.129946625312426,"endHours":15.845079732185265,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.845079732185265,"endHours":17.560212839058106,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:17","startHours":17.560212839058106,"endHours":19.275345945930948,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:34","startHours":19.275345945930948,"endHours":20.560212839058106,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.560212839058106,"endHours":21.845079732185265,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.845079732185265,"endHours":23.129946625312424,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.129946625312424,"endHours":24.414813518439587,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.414813518439587,"endHours":25.699680411566746,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.699680411566746,"endHours":26.984547304693905,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.984547304693905,"endHours":28.269414197821064,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.269414197821064,"endHours":29.554281090948223,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.554281090948223,"endHours":6.554281090948223,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.554281090948223,"endHours":7.554281090948223,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.554281090948223,"endHours":8.554281090948223,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.554281090948223,"endHours":9.554281090948223,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.554281090948223,"endHours":10.554281090948223,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.554281090948223,"endHours":11.554281090948223,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.554281090948223,"endHours":12.554281090948223,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.554281090948223,"endHours":13.554281090948223,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.554281090948223,"endHours":14.554281090948223,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.554281090948223,"endHours":15.554281090948223,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.554281090948223,"endHours":16.554281090948223,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.554281090948223,"endHours":17.554281090948223,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.554281090948223,"endHours":18.554281090948223,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.554281090948223,"endHours":19.554281090948223,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.554281090948223,"endHours":20.554281090948223,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.554281090948223,"endHours":21.554281090948223,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.554281090948223,"endHours":22.554281090948223,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.554281090948223,"endHours":23.554281090948223,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.554281090948223,"endHours":24.554281090948223,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.554281090948223,"endHours":25.554281090948223,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.554281090948223,"endHours":26.554281090948223,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.554281090948223,"endHours":27.554281090948223,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.554281090948223,"endHours":28.554281090948223,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.554281090948223,"endHours":29.554281090948223,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.57355713712924,"eotMinutes":-5.583611106375076,"ayanamsa":23.8884}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pañcamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 15, 2002 CE · Mathurā · Vidhyamitra","description":"July 15, 2002 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2002-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2002-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/2002-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/2002-07-15","x-default":"https://vidhyamitra.com/city/mathura/2002-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:58:45.642Z","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":"2026-05-14T11:58:45.642Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:58:45.642Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}