{"id":"vidhyamitra:city-day:agra:2002-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-07-13","date_display":"July 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452468.770833,"kali_year":5104,"ahargana":1864003.2708,"sun":{"sidereal_longitude":86.1933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":119.0451,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.8519,"elapsed_within_tithi_degrees":8.8519},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.0451,"elapsed_within_degrees":12.3785},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.2384},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452468.770833,"ahargana":1864003.2708,"kali_year":5104,"ayanamsa_lahiri":23.8883,"grahas":{"sun":{"sidereal_longitude":86.614216,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":120.96841599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":4.0054},"mars":{"sidereal_longitude":95.717716,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":77.128916,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":91.63261599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":128.50541600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":58.760515999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":56.1365,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":236.1365,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452468.770833,"kali_year":5104,"ahargana":1864003.2708,"sun":{"sidereal_longitude":86.1933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":119.0451,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.8519,"elapsed_within_tithi_degrees":8.8519},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.0451,"elapsed_within_degrees":12.3785},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.2384},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.005,"elongation":32.852},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.005,"opposition_distance":147.148}},"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":"05:32","sunsetLocal":"19:15","solarNoonLocal":"12:23","dayLengthHours":13.72363064606374,"dayLengthDisplay":"13 Hours 43 Mins 25 Secs","nightLengthDisplay":"10 Hours 16 Mins 35 Secs","moonriseLocal":"08:10","moonsetLocal":"21:11","rahuKala":{"name":"Rāhu Kāla","start":"08:57","end":"10:40","startHours":8.957909485920077,"endHours":10.673363316678046,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:49","startHours":14.10427097819398,"endHours":15.819724808951946,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:32","end":"07:15","startHours":5.527001824404143,"endHours":7.24245565516211,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.729182308485681,"endHours":9.186636663354474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.098819767990132,"endHours":6.464783251885165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.93136279256722,"endHours":12.846271502304802,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.6971844049289775,"endHours":4.61209311466656,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.383365937232164,"endHours":5.527001824404143,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:35","startHours":14.676088921779968,"endHours":15.590997631517551,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.05063247046788,"endHours":19.45063247046788,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.25063247046788,"endHours":19.82245041405387,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.00063247046788,"endHours":20.75063247046788,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.93136279256722,"endHours":24.846271502304802,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:32","end":"07:15","startHours":5.527001824404143,"endHours":7.24245565516211,"quality":"inauspicious"},{"name":"Śubha","start":"07:15","end":"08:57","startHours":7.24245565516211,"endHours":8.957909485920077,"quality":"auspicious"},{"name":"Roga","start":"08:57","end":"10:40","startHours":8.957909485920077,"endHours":10.673363316678046,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:23","startHours":10.673363316678046,"endHours":12.388817147436011,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:06","startHours":12.388817147436011,"endHours":14.10427097819398,"quality":"neutral"},{"name":"Labha","start":"14:06","end":"15:49","startHours":14.10427097819398,"endHours":15.819724808951946,"quality":"auspicious"},{"name":"Amṛta","start":"15:49","end":"17:32","startHours":15.819724808951946,"endHours":17.535178639709915,"quality":"auspicious"},{"name":"Kāla","start":"17:32","end":"19:15","startHours":17.535178639709915,"endHours":19.25063247046788,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:15","end":"20:32","startHours":19.25063247046788,"endHours":20.535178639709912,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"21:49","startHours":20.535178639709912,"endHours":21.819724808951946,"quality":"auspicious"},{"name":"Kāla","start":"21:49","end":"23:06","startHours":21.819724808951946,"endHours":23.10427097819398,"quality":"inauspicious"},{"name":"Śubha","start":"23:06","end":"00:23","startHours":23.10427097819398,"endHours":24.38881714743601,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:40","startHours":24.38881714743601,"endHours":25.673363316678042,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"02:57","startHours":25.673363316678042,"endHours":26.957909485920077,"quality":"inauspicious"},{"name":"Chala","start":"02:57","end":"04:15","startHours":26.957909485920077,"endHours":28.24245565516211,"quality":"neutral"},{"name":"Labha","start":"04:15","end":"05:32","startHours":28.24245565516211,"endHours":29.52700182440414,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.527001824404143,"endHours":6.527001824404143,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.527001824404143,"endHours":7.527001824404143,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.527001824404143,"endHours":8.527001824404142,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.527001824404142,"endHours":9.527001824404142,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.527001824404142,"endHours":10.527001824404142,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.527001824404142,"endHours":11.527001824404142,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.527001824404142,"endHours":12.527001824404142,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.527001824404142,"endHours":13.527001824404142,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.527001824404142,"endHours":14.527001824404142,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.527001824404142,"endHours":15.527001824404142,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.527001824404142,"endHours":16.52700182440414,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.52700182440414,"endHours":17.52700182440414,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.52700182440414,"endHours":18.52700182440414,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.52700182440414,"endHours":19.52700182440414,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.52700182440414,"endHours":20.52700182440414,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.52700182440414,"endHours":21.52700182440414,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.52700182440414,"endHours":22.52700182440414,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.52700182440414,"endHours":23.52700182440414,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.52700182440414,"endHours":24.52700182440414,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.52700182440414,"endHours":25.52700182440414,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.52700182440414,"endHours":26.52700182440414,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.52700182440414,"endHours":27.52700182440414,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.52700182440414,"endHours":28.52700182440414,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.52700182440414,"endHours":29.52700182440414,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"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":21.872278233290018,"eotMinutes":-5.361428846160681,"ayanamsa":23.8883}},"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 Tṛtīyā · 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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 July 13, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"July 13, 2002 CE for Agra, Uttar Pradesh: Śukla Tṛtīyā, sūryodaya 05:32, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-07-13","sa":"https://sa.vidhyamitra.com/city/agra/2002-07-13","hi":"https://hi.vidhyamitra.com/city/agra/2002-07-13","x-default":"https://vidhyamitra.com/city/agra/2002-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T04:27:39.598Z","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":"2026-05-23T04:27:39.598Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T04:27:39.598Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}