{"id":"vidhyamitra:city-day:mathura:-3184-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3184-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3184-04-15","date_display":"April 15, 3185 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558206.770833,"kali_year":-82,"ahargana":-30258.7292,"sun":{"sidereal_longitude":57.6995,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.017,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.3175,"elapsed_within_tithi_degrees":6.3175},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.017,"elapsed_within_degrees":10.6837},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.7166},"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":-3184,"month":4,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":558206.770833,"ahargana":-30258.7292,"kali_year":-82,"ayanamsa_lahiri":-48.5601,"grahas":{"sun":{"sidereal_longitude":57.6995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":184.017,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-1.5939},"mars":{"sidereal_longitude":17.1102,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":45.9763,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":15.9808,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":83.4634,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":68.2252,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":343.2531,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":163.2531,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558206.770833,"kali_year":-82,"ahargana":-30258.7292,"sun":{"sidereal_longitude":57.6995,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.017,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.3175,"elapsed_within_tithi_degrees":6.3175},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.017,"elapsed_within_degrees":10.6837},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.7166},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.594,"elongation":126.317},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.594,"opposition_distance":53.683}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:08","sunsetLocal":"18:31","solarNoonLocal":"12:20","dayLengthHours":12.377262152862004,"dayLengthDisplay":"12 Hours 22 Mins 38 Secs","nightLengthDisplay":"11 Hours 37 Mins 22 Secs","moonriseLocal":"14:07","moonsetLocal":"03:22","rahuKala":{"name":"Rāhu Kāla","start":"16:58","end":"18:31","startHours":16.967228708286704,"endHours":18.514386477394453,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:52","startHours":12.325755400963452,"endHours":13.8729131700712,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:25","end":"16:58","startHours":15.420070939178952,"endHours":16.967228708286704,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:26","startHours":9.02515216020025,"endHours":9.43772756529565,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:59","startHours":6.652843580901699,"endHours":6.982903904978019,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:44","startHours":11.913179995868052,"endHours":12.738330806058851,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:29","end":"05:19","startHours":4.486822704150848,"endHours":5.311973514341648,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:08","startHours":5.105685811793949,"endHours":6.137124324532449,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:13","startHours":14.388632426440452,"endHours":15.213783236631253,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.314386477394454,"endHours":18.714386477394452,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:02","startHours":18.514386477394453,"endHours":19.030105733763705,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.264386477394453,"endHours":20.014386477394453,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:44","startHours":23.913179995868052,"endHours":24.73833080605885,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:08","end":"07:41","startHours":6.137124324532449,"endHours":7.684282093640199,"quality":"inauspicious"},{"name":"Chala","start":"07:41","end":"09:14","startHours":7.684282093640199,"endHours":9.23143986274795,"quality":"neutral"},{"name":"Labha","start":"09:14","end":"10:47","startHours":9.23143986274795,"endHours":10.7785976318557,"quality":"auspicious"},{"name":"Amṛta","start":"10:47","end":"12:20","startHours":10.7785976318557,"endHours":12.325755400963452,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:52","startHours":12.325755400963452,"endHours":13.8729131700712,"quality":"inauspicious"},{"name":"Śubha","start":"13:52","end":"15:25","startHours":13.8729131700712,"endHours":15.420070939178952,"quality":"auspicious"},{"name":"Roga","start":"15:25","end":"16:58","startHours":15.420070939178952,"endHours":16.967228708286704,"quality":"inauspicious"},{"name":"Udveg","start":"16:58","end":"18:31","startHours":16.967228708286704,"endHours":18.514386477394453,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:31","end":"19:58","startHours":18.514386477394453,"endHours":19.9672287082867,"quality":"auspicious"},{"name":"Roga","start":"19:58","end":"21:25","startHours":19.9672287082867,"endHours":21.420070939178952,"quality":"inauspicious"},{"name":"Udveg","start":"21:25","end":"22:52","startHours":21.420070939178952,"endHours":22.8729131700712,"quality":"inauspicious"},{"name":"Chala","start":"22:52","end":"00:20","startHours":22.8729131700712,"endHours":24.325755400963452,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"01:47","startHours":24.325755400963452,"endHours":25.7785976318557,"quality":"auspicious"},{"name":"Amṛta","start":"01:47","end":"03:14","startHours":25.7785976318557,"endHours":27.231439862747948,"quality":"auspicious"},{"name":"Kāla","start":"03:14","end":"04:41","startHours":27.231439862747948,"endHours":28.6842820936402,"quality":"inauspicious"},{"name":"Śubha","start":"04:41","end":"06:08","startHours":28.6842820936402,"endHours":30.13712432453245,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:08","end":"07:08","startHours":6.137124324532449,"endHours":7.137124324532449,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:08","end":"08:08","startHours":7.137124324532449,"endHours":8.137124324532449,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:08","end":"09:08","startHours":8.137124324532449,"endHours":9.137124324532449,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:08","end":"10:08","startHours":9.137124324532449,"endHours":10.137124324532449,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:08","end":"11:08","startHours":10.137124324532449,"endHours":11.137124324532449,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:08","end":"12:08","startHours":11.137124324532449,"endHours":12.137124324532449,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:08","end":"13:08","startHours":12.137124324532449,"endHours":13.137124324532449,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:08","end":"14:08","startHours":13.137124324532449,"endHours":14.137124324532449,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:08","end":"15:08","startHours":14.137124324532449,"endHours":15.137124324532449,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:08","end":"16:08","startHours":15.137124324532449,"endHours":16.13712432453245,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:08","end":"17:08","startHours":16.13712432453245,"endHours":17.13712432453245,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:08","end":"18:08","startHours":17.13712432453245,"endHours":18.13712432453245,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:08","end":"19:08","startHours":18.13712432453245,"endHours":19.13712432453245,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:08","end":"20:08","startHours":19.13712432453245,"endHours":20.13712432453245,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:08","end":"21:08","startHours":20.13712432453245,"endHours":21.13712432453245,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:08","end":"22:08","startHours":21.13712432453245,"endHours":22.13712432453245,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:08","end":"23:08","startHours":22.13712432453245,"endHours":23.13712432453245,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:08","end":"00:08","startHours":23.13712432453245,"endHours":24.13712432453245,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:08","end":"01:08","startHours":24.13712432453245,"endHours":25.13712432453245,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:08","end":"02:08","startHours":25.13712432453245,"endHours":26.13712432453245,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:08","end":"03:08","startHours":26.13712432453245,"endHours":27.13712432453245,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:08","end":"04:08","startHours":27.13712432453245,"endHours":28.13712432453245,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:08","end":"05:08","startHours":28.13712432453245,"endHours":29.13712432453245,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:08","end":"06:08","startHours":29.13712432453245,"endHours":30.13712432453245,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.6220525315298215,"eotMinutes":-0.240124057807095,"ayanamsa":-48.5601}},"calendars":{"vikram_samvat":-3127,"saka_samvat":-3262,"bengali_samvat":-3777,"malayalam_era":-4008,"nanakshahi_year":-4653,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Ekādaśī · Vikram -3127 undefined · Śaka -3262 undefined"},"festivals":[{"id":"nirjala-ekadashi","name":"Nirjalā Ekādaśī","name_sanskrit":"निर्जला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Strictest Ekādaśī (no water for 24 hours); Bhīma's vrata. Confers fruit of all 24 Ekādaśīs.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Jyeṣṭha"},"precedence":1,"sources":["Mahābhārata, Anuśāsana Parva"]},{"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":"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":"Dedicated festival walk for Nirjalā Ekādaśī · Ekādaśī is not live yet; Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 15, 3185 BCE · Mathurā · Vidhyamitra","description":"April 15, 3185 BCE for Mathurā: Śukla Ekādaśī, sūryodaya 06:08, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3184-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3184-04-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3184-04-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3184-04-15","x-default":"https://vidhyamitra.com/city/mathura/-3184-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:41:12.909Z","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":"2026-08-11T21:41:12.909Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:41:12.909Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}