{"id":"vidhyamitra:city-day:agra:2002-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-10-13","date_display":"October 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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452560.770833,"kali_year":5104,"ahargana":1864095.2708,"sun":{"sidereal_longitude":174.8998,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":259.7507,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.8509,"elapsed_within_tithi_degrees":0.8509},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.7507,"elapsed_within_degrees":6.4173},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.6505},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452560.770833,"ahargana":1864095.2708,"kali_year":5104,"ayanamsa_lahiri":23.8918,"grahas":{"sun":{"sidereal_longitude":175.64470000000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":263.3412000000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.1447},"mars":{"sidereal_longitude":154.38620000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":157.64779999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":110.01170000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":201.70769999999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":65.1114,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":51.2619,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.2619,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452560.770833,"kali_year":5104,"ahargana":1864095.2708,"sun":{"sidereal_longitude":174.8998,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":259.7507,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.8509,"elapsed_within_tithi_degrees":0.8509},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.7507,"elapsed_within_degrees":6.4173},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.6505},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.145,"elongation":84.851},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.145,"opposition_distance":95.149}},"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":"06:16","sunsetLocal":"17:52","solarNoonLocal":"12:04","dayLengthHours":11.59943238479048,"dayLengthDisplay":"11 Hours 35 Mins 58 Secs","nightLengthDisplay":"12 Hours 24 Mins 02 Secs","moonriseLocal":"12:40","moonsetLocal":"23:09","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:52","startHours":16.40853999082851,"endHours":17.858469038927318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:31","startHours":12.058752846532077,"endHours":13.508681894630888,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:58","end":"16:25","startHours":14.958610942729697,"endHours":16.40853999082851,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.965570877254617,"endHours":9.352218623414299,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:03","startHours":6.742346336836441,"endHours":7.051664533764187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:27","startHours":11.672105100372393,"endHours":12.44540059269176,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.7124456694981065,"endHours":5.485741161817472,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.292417288737631,"endHours":6.259036654136837,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.991991577330491,"endHours":14.765287069649856,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.65846903892732,"endHours":18.058469038927317,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.858469038927318,"endHours":18.34177872162692,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.608469038927318,"endHours":19.358469038927318,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:27","startHours":23.672105100372395,"endHours":24.445400592691758,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:16","end":"07:43","startHours":6.259036654136837,"endHours":7.7089657022356475,"quality":"inauspicious"},{"name":"Chala","start":"07:43","end":"09:10","startHours":7.7089657022356475,"endHours":9.158894750334458,"quality":"neutral"},{"name":"Labha","start":"09:10","end":"10:37","startHours":9.158894750334458,"endHours":10.608823798433267,"quality":"auspicious"},{"name":"Amṛta","start":"10:37","end":"12:04","startHours":10.608823798433267,"endHours":12.058752846532077,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:31","startHours":12.058752846532077,"endHours":13.508681894630888,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:58","startHours":13.508681894630888,"endHours":14.958610942729697,"quality":"auspicious"},{"name":"Roga","start":"14:58","end":"16:25","startHours":14.958610942729697,"endHours":16.40853999082851,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:52","startHours":16.40853999082851,"endHours":17.858469038927318,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:52","end":"19:25","startHours":17.858469038927318,"endHours":19.40853999082851,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"20:58","startHours":19.40853999082851,"endHours":20.9586109427297,"quality":"inauspicious"},{"name":"Udveg","start":"20:58","end":"22:31","startHours":20.9586109427297,"endHours":22.50868189463089,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:04","startHours":22.50868189463089,"endHours":24.058752846532077,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:37","startHours":24.058752846532077,"endHours":25.608823798433267,"quality":"auspicious"},{"name":"Amṛta","start":"01:37","end":"03:10","startHours":25.608823798433267,"endHours":27.158894750334458,"quality":"auspicious"},{"name":"Kāla","start":"03:10","end":"04:43","startHours":27.158894750334458,"endHours":28.708965702235645,"quality":"inauspicious"},{"name":"Śubha","start":"04:43","end":"06:16","startHours":28.708965702235645,"endHours":30.259036654136835,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.259036654136837,"endHours":7.259036654136837,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.259036654136837,"endHours":8.259036654136837,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.259036654136837,"endHours":9.259036654136837,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.259036654136837,"endHours":10.259036654136837,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.259036654136837,"endHours":11.259036654136837,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.259036654136837,"endHours":12.259036654136837,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.259036654136837,"endHours":13.259036654136837,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.259036654136837,"endHours":14.259036654136837,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.259036654136837,"endHours":15.259036654136837,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.259036654136837,"endHours":16.259036654136835,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.259036654136835,"endHours":17.259036654136835,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.259036654136835,"endHours":18.259036654136835,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.259036654136835,"endHours":19.259036654136835,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.259036654136835,"endHours":20.259036654136835,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.259036654136835,"endHours":21.259036654136835,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.259036654136835,"endHours":22.259036654136835,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.259036654136835,"endHours":23.259036654136835,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.259036654136835,"endHours":24.259036654136835,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.259036654136835,"endHours":25.259036654136835,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.259036654136835,"endHours":26.259036654136835,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.259036654136835,"endHours":27.259036654136835,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.259036654136835,"endHours":28.259036654136835,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.259036654136835,"endHours":29.259036654136835,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.259036654136835,"endHours":30.259036654136835,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.643253510401943,"eotMinutes":14.442429208075392,"ayanamsa":23.8918}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Aṣṭamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"durga-ashtami","name":"Mahā-Aṣṭamī (Durgā-Aṣṭamī)","name_sanskrit":"महाष्टमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"8th day of Śāradīya Navrātri; Mahiṣāsura-mardinī kṣaṇa.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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 October 13, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"October 13, 2002 CE for Agra, Uttar Pradesh: Śukla Aṣṭamī, sūryodaya 06:16, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-10-13","sa":"https://sa.vidhyamitra.com/city/agra/2002-10-13","hi":"https://hi.vidhyamitra.com/city/agra/2002-10-13","x-default":"https://vidhyamitra.com/city/agra/2002-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:27:46.673Z","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":"2026-05-31T15:27:46.673Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:27:46.673Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}