{"id":"vidhyamitra:city-day:agra:2004-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2004-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-07-13","date_display":"July 13, 2004 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":2004,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453199.770833,"kali_year":5106,"ahargana":1864734.2708,"sun":{"sidereal_longitude":86.6502,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":36.2828,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":309.6326,"elapsed_within_tithi_degrees":9.6326},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.2828,"elapsed_within_degrees":9.6161},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.9329},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2004,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453199.770833,"ahargana":1864734.2708,"kali_year":5106,"ayanamsa_lahiri":23.9163,"grahas":{"sun":{"sidereal_longitude":87.078486,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":38.60938599999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":1.4547},"mars":{"sidereal_longitude":108.102686,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":110.015286,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":141.491986,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":48.550786000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":83.37208600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":17.4046,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":197.4046,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2004,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453199.770833,"kali_year":5106,"ahargana":1864734.2708,"sun":{"sidereal_longitude":86.6502,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":36.2828,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":309.6326,"elapsed_within_tithi_degrees":9.6326},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.2828,"elapsed_within_degrees":9.6161},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.9329},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.455,"elongation":50.367},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.455,"opposition_distance":129.633}},"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":13.717468287372363,"dayLengthDisplay":"13 Hours 43 Mins 03 Secs","nightLengthDisplay":"10 Hours 16 Mins 57 Secs","moonriseLocal":"02:22","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"15:49","end":"17:32","startHours":15.8181842192791,"endHours":17.532867755200648,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:58","end":"10:40","startHours":8.959450075592919,"endHours":10.674133611514465,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:06","startHours":12.388817147436011,"endHours":14.103500683357556,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.730825604136713,"endHours":9.188074547049126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.101644182390344,"endHours":6.467443336720274,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.931568204523598,"endHours":12.846066090348424,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.701087232100181,"endHours":4.615585117925005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.386960646468799,"endHours":5.530083003749829,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:35","startHours":14.67506186199807,"endHours":15.589559747822895,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.047551291122193,"endHours":19.447551291122192,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.247551291122193,"endHours":19.819112469762707,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.997551291122193,"endHours":20.747551291122193,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.9315682045236,"endHours":24.846066090348423,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:32","end":"07:15","startHours":5.530083003749829,"endHours":7.2447665396713745,"quality":"inauspicious"},{"name":"Udveg","start":"07:15","end":"08:58","startHours":7.2447665396713745,"endHours":8.959450075592919,"quality":"inauspicious"},{"name":"Chala","start":"08:58","end":"10:40","startHours":8.959450075592919,"endHours":10.674133611514465,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:23","startHours":10.674133611514465,"endHours":12.388817147436011,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:06","startHours":12.388817147436011,"endHours":14.103500683357556,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:49","startHours":14.103500683357556,"endHours":15.8181842192791,"quality":"inauspicious"},{"name":"Śubha","start":"15:49","end":"17:32","startHours":15.8181842192791,"endHours":17.532867755200648,"quality":"auspicious"},{"name":"Roga","start":"17:32","end":"19:15","startHours":17.532867755200648,"endHours":19.247551291122193,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:15","end":"20:32","startHours":19.247551291122193,"endHours":20.532867755200648,"quality":"inauspicious"},{"name":"Śubha","start":"20:32","end":"21:49","startHours":20.532867755200648,"endHours":21.818184219279104,"quality":"auspicious"},{"name":"Roga","start":"21:49","end":"23:06","startHours":21.818184219279104,"endHours":23.103500683357556,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:23","startHours":23.103500683357556,"endHours":24.38881714743601,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:40","startHours":24.38881714743601,"endHours":25.674133611514467,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"02:58","startHours":25.674133611514467,"endHours":26.95945007559292,"quality":"auspicious"},{"name":"Amṛta","start":"02:58","end":"04:15","startHours":26.95945007559292,"endHours":28.244766539671375,"quality":"auspicious"},{"name":"Kāla","start":"04:15","end":"05:32","startHours":28.244766539671375,"endHours":29.53008300374983,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.530083003749829,"endHours":6.530083003749829,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.530083003749829,"endHours":7.530083003749829,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.530083003749829,"endHours":8.53008300374983,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.53008300374983,"endHours":9.53008300374983,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.53008300374983,"endHours":10.53008300374983,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.53008300374983,"endHours":11.53008300374983,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.53008300374983,"endHours":12.53008300374983,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.53008300374983,"endHours":13.53008300374983,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.53008300374983,"endHours":14.53008300374983,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.53008300374983,"endHours":15.53008300374983,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.53008300374983,"endHours":16.53008300374983,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.53008300374983,"endHours":17.53008300374983,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.53008300374983,"endHours":18.53008300374983,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.53008300374983,"endHours":19.53008300374983,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.53008300374983,"endHours":20.53008300374983,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.53008300374983,"endHours":21.53008300374983,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.53008300374983,"endHours":22.53008300374983,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.53008300374983,"endHours":23.53008300374983,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.53008300374983,"endHours":24.53008300374983,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.53008300374983,"endHours":25.53008300374983,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.53008300374983,"endHours":26.53008300374983,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.53008300374983,"endHours":27.53008300374983,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.53008300374983,"endHours":28.53008300374983,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.53008300374983,"endHours":29.53008300374983,"planetary_lord":"Saturn"}],"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","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.797554777062135,"eotMinutes":-5.361428846160681,"ayanamsa":23.9163}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ekādaśī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"festivals":[{"id":"aja-ekadashi","name":"Ajā Ekādaśī","name_sanskrit":"अजा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"King Hariścandra observed this; restored him to throne and family.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","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 July 13, 2004 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"July 13, 2004 CE for Agra, Uttar Pradesh: Kṛṣṇa Ekādaśī, sūryodaya 05:32, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2004-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2004-07-13","sa":"https://sa.vidhyamitra.com/city/agra/2004-07-13","hi":"https://hi.vidhyamitra.com/city/agra/2004-07-13","x-default":"https://vidhyamitra.com/city/agra/2004-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:14:37.055Z","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":"2026-06-01T14:14:37.056Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:14:37.056Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}