{"id":"vidhyamitra:city-day:vrindavan:2003-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2003-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-04-13","date_display":"April 13, 2003 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":2003,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452742.770833,"kali_year":5104,"ahargana":1864277.2708,"sun":{"sidereal_longitude":358.9457,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":128.8741,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.9284,"elapsed_within_tithi_degrees":9.9284},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8741,"elapsed_within_degrees":8.8741},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.8198},"karana":{"half_tithi_index":21,"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":2003,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452742.770833,"ahargana":1864277.2708,"kali_year":5104,"ayanamsa_lahiri":23.8988,"grahas":{"sun":{"sidereal_longitude":358.815847,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":126.634747,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":4.4948},"mars":{"sidereal_longitude":270.60584700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":17.873147000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":104.228747,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":325.6797469999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":60.330047000000036,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":41.6187,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":221.6187,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2003,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452742.770833,"kali_year":5104,"ahargana":1864277.2708,"sun":{"sidereal_longitude":358.9457,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":128.8741,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.9284,"elapsed_within_tithi_degrees":9.9284},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8741,"elapsed_within_degrees":8.8741},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.8198},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":129.928},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":50.072}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:58","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.74779580608157,"dayLengthDisplay":"12 Hours 44 Mins 52 Secs","nightLengthDisplay":"11 Hours 15 Mins 08 Secs","moonriseLocal":"14:25","moonsetLocal":"03:18","rahuKala":{"name":"Rāhu Kāla","start":"17:07","end":"18:43","startHours":17.115966941108994,"endHours":18.70944141686919,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.929017989588601,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"17:07","startHours":15.522492465348797,"endHours":17.115966941108994,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:22","startHours":8.936131298873319,"endHours":9.361057825742705,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.492803769374351,"endHours":6.83274499086986,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.910616986959019,"endHours":12.760470040697792,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.261939503310077,"endHours":5.111792557048848,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.899329293614155,"endHours":5.9616456107876195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.460176148175332,"endHours":15.310029201914103,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.50944141686919,"endHours":18.90944141686919,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:14","startHours":18.70944141686919,"endHours":19.24059957545592,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.45944141686919,"endHours":20.20944141686919,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.91061698695902,"endHours":24.76047004069779,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:58","end":"07:33","startHours":5.9616456107876195,"endHours":7.555120086547816,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:09","startHours":7.555120086547816,"endHours":9.148594562308013,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:45","startHours":9.148594562308013,"endHours":10.742069038068209,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:20","startHours":10.742069038068209,"endHours":12.335543513828405,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.929017989588601,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:31","startHours":13.929017989588601,"endHours":15.522492465348797,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"17:07","startHours":15.522492465348797,"endHours":17.115966941108994,"quality":"inauspicious"},{"name":"Udveg","start":"17:07","end":"18:43","startHours":17.115966941108994,"endHours":18.70944141686919,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:43","end":"20:07","startHours":18.70944141686919,"endHours":20.115966941108994,"quality":"auspicious"},{"name":"Roga","start":"20:07","end":"21:31","startHours":20.115966941108994,"endHours":21.522492465348797,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"22:56","startHours":21.522492465348797,"endHours":22.9290179895886,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:20","startHours":22.9290179895886,"endHours":24.335543513828405,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"01:45","startHours":24.335543513828405,"endHours":25.74206903806821,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:09","startHours":25.74206903806821,"endHours":27.148594562308013,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:33","startHours":27.148594562308013,"endHours":28.555120086547817,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:58","startHours":28.555120086547817,"endHours":29.96164561078762,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.9616456107876195,"endHours":6.9616456107876195,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.9616456107876195,"endHours":7.9616456107876195,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.9616456107876195,"endHours":8.96164561078762,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.96164561078762,"endHours":9.96164561078762,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.96164561078762,"endHours":10.96164561078762,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.96164561078762,"endHours":11.96164561078762,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.96164561078762,"endHours":12.96164561078762,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.96164561078762,"endHours":13.96164561078762,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.96164561078762,"endHours":14.96164561078762,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.96164561078762,"endHours":15.96164561078762,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.96164561078762,"endHours":16.96164561078762,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.96164561078762,"endHours":17.96164561078762,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.96164561078762,"endHours":18.96164561078762,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.96164561078762,"endHours":19.96164561078762,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.96164561078762,"endHours":20.96164561078762,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.96164561078762,"endHours":21.96164561078762,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.96164561078762,"endHours":22.96164561078762,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.96164561078762,"endHours":23.96164561078762,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.96164561078762,"endHours":24.96164561078762,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.96164561078762,"endHours":25.96164561078762,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.96164561078762,"endHours":26.96164561078762,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.96164561078762,"endHours":27.96164561078762,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.96164561078762,"endHours":28.96164561078762,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.96164561078762,"endHours":29.96164561078762,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","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":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.834517146018866,"eotMinutes":-0.7698108297043191,"ayanamsa":23.8988}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Ekādaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"kamada-ekadashi","name":"Kāmadā Ekādaśī","name_sanskrit":"कामदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Fulfills righteous desires; removes brahma-hatyā.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"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},{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"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":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 13, 2003 CE · Vṛndāvana · Vidhyamitra","description":"April 13, 2003 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:58, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2003-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2003-04-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2003-04-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2003-04-13","x-default":"https://vidhyamitra.com/city/vrindavan/2003-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T08:15:37.887Z","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":"2026-05-17T08:15:37.887Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T08:15:37.887Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}