{"id":"vidhyamitra:city-day:vrindavan:2117-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2117-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2117-04-13","date_display":"April 13, 2117 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":2117,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494380.770833,"kali_year":5218,"ahargana":1905915.2708,"sun":{"sidereal_longitude":357.4808,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":128.9606,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.4798,"elapsed_within_tithi_degrees":11.4798},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.9606,"elapsed_within_degrees":8.9606},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.4414},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"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":2117,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494380.770833,"ahargana":1905915.2708,"kali_year":5218,"ayanamsa_lahiri":25.4913,"grahas":{"sun":{"sidereal_longitude":357.611769,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":126.56736899999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":3.2613},"mars":{"sidereal_longitude":67.38946899999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":332.400669,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":330.715869,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":7.622269000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":12.563268999999991,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":355.437,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":175.437,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"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":2117,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494380.770833,"kali_year":5218,"ahargana":1905915.2708,"sun":{"sidereal_longitude":357.4808,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":128.9606,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.4798,"elapsed_within_tithi_degrees":11.4798},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.9606,"elapsed_within_degrees":8.9606},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.4414},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.261,"elongation":131.48},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.261,"opposition_distance":48.52}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":-0.86,"elongation":1.688}]},"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":"05:57","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.758167654864707,"dayLengthDisplay":"12 Hours 45 Mins 29 Secs","nightLengthDisplay":"11 Hours 14 Mins 31 Secs","moonriseLocal":"14:31","moonsetLocal":"03:21","rahuKala":{"name":"Rāhu Kāla","start":"15:32","end":"17:07","startHours":15.525085427544582,"endHours":17.11985638440267,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:44","startHours":9.146001600112228,"endHours":10.740772556970317,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.930314470686493,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:22","startHours":8.933365472531149,"endHours":9.358637727693306,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:50","startHours":6.488050005348747,"endHours":6.828267809478472,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.910271258666247,"endHours":12.760815768990563,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.2553706657474235,"endHours":5.105915176071737,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.893279048490658,"endHours":5.956459686396051,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.461904789639188,"endHours":15.312449299963502,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.51462734126076,"endHours":18.914627341260758,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.71462734126076,"endHours":19.246217660213453,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.46462734126076,"endHours":20.21462734126076,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.91027125866625,"endHours":24.76081576899056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:57","end":"07:33","startHours":5.956459686396051,"endHours":7.551230643254139,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:09","startHours":7.551230643254139,"endHours":9.146001600112228,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:44","startHours":9.146001600112228,"endHours":10.740772556970317,"quality":"neutral"},{"name":"Labha","start":"10:44","end":"12:20","startHours":10.740772556970317,"endHours":12.335543513828405,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.930314470686493,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:32","startHours":13.930314470686493,"endHours":15.525085427544582,"quality":"inauspicious"},{"name":"Śubha","start":"15:32","end":"17:07","startHours":15.525085427544582,"endHours":17.11985638440267,"quality":"auspicious"},{"name":"Roga","start":"17:07","end":"18:43","startHours":17.11985638440267,"endHours":18.71462734126076,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:43","end":"20:07","startHours":18.71462734126076,"endHours":20.11985638440267,"quality":"inauspicious"},{"name":"Śubha","start":"20:07","end":"21:32","startHours":20.11985638440267,"endHours":21.52508542754458,"quality":"auspicious"},{"name":"Roga","start":"21:32","end":"22:56","startHours":21.52508542754458,"endHours":22.930314470686493,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:20","startHours":22.930314470686493,"endHours":24.335543513828405,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"01:44","startHours":24.335543513828405,"endHours":25.740772556970317,"quality":"neutral"},{"name":"Labha","start":"01:44","end":"03:09","startHours":25.740772556970317,"endHours":27.14600160011223,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:33","startHours":27.14600160011223,"endHours":28.55123064325414,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"05:57","startHours":28.55123064325414,"endHours":29.95645968639605,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.956459686396051,"endHours":6.956459686396051,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.956459686396051,"endHours":7.956459686396051,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.956459686396051,"endHours":8.956459686396052,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.956459686396052,"endHours":9.956459686396052,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.956459686396052,"endHours":10.956459686396052,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.956459686396052,"endHours":11.956459686396052,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.956459686396052,"endHours":12.956459686396052,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.956459686396052,"endHours":13.956459686396052,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.956459686396052,"endHours":14.956459686396052,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.956459686396052,"endHours":15.956459686396052,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.956459686396052,"endHours":16.95645968639605,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.95645968639605,"endHours":17.95645968639605,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.95645968639605,"endHours":18.95645968639605,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.95645968639605,"endHours":19.95645968639605,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.95645968639605,"endHours":20.95645968639605,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.95645968639605,"endHours":21.95645968639605,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.95645968639605,"endHours":22.95645968639605,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.95645968639605,"endHours":23.95645968639605,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.95645968639605,"endHours":24.95645968639605,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.95645968639605,"endHours":25.95645968639605,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.95645968639605,"endHours":26.95645968639605,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.95645968639605,"endHours":27.95645968639605,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.95645968639605,"endHours":28.95645968639605,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.95645968639605,"endHours":29.95645968639605,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.978556538364591,"eotMinutes":-0.7698108297043191,"ayanamsa":25.4913}},"calendars":{"vikram_samvat":2174,"vikram_samvatsara":"Vikṛti","saka_samvat":2039,"saka_samvatsara":"Īśvara","bengali_samvat":1524,"malayalam_era":1293,"nanakshahi_year":648,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Ekādaśī · Vikram 2174 Vikṛti · Śaka 2039 Īśvara"},"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}],"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":[]},"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, 2117 CE · Vṛndāvana · Vidhyamitra","description":"April 13, 2117 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:57, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2117-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2117-04-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2117-04-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2117-04-13","x-default":"https://vidhyamitra.com/city/vrindavan/2117-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:26:00.011Z","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":"2026-06-01T22:26:00.011Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:26:00.011Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}