{"id":"vidhyamitra:city-day:mathura:-0484-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0484-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0484-04-16","date_display":"April 16, 485 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":-484,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1544382.770833,"kali_year":2618,"ahargana":955917.2708,"sun":{"sidereal_longitude":36.1499,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":183.2334,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.0836,"elapsed_within_tithi_degrees":3.0836},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":183.2334,"elapsed_within_degrees":9.9001},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.3833},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":-484,"month":4,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1544382.770833,"ahargana":955917.2708,"kali_year":2618,"ayanamsa_lahiri":-10.8426,"grahas":{"sun":{"sidereal_longitude":36.1499,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":183.2334,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-4.2873},"mars":{"sidereal_longitude":125.7141,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":50.664,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":243.6472,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"venus":{"sidereal_longitude":53.7549,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":285.1075,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":290.9028,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":110.9028,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":"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":-484,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1544382.770833,"kali_year":2618,"ahargana":955917.2708,"sun":{"sidereal_longitude":36.1499,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":183.2334,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.0836,"elapsed_within_tithi_degrees":3.0836},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":183.2334,"elapsed_within_degrees":9.9001},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.3833},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.287,"elongation":147.084},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.287,"opposition_distance":32.916}},"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":"05:55","sunsetLocal":"18:44","solarNoonLocal":"12:19","dayLengthHours":12.81450284821178,"dayLengthDisplay":"12 Hours 48 Mins 52 Secs","nightLengthDisplay":"11 Hours 11 Mins 08 Secs","moonriseLocal":"15:59","moonsetLocal":"04:17","rahuKala":{"name":"Rāhu Kāla","start":"15:32","end":"17:08","startHours":15.525124193442972,"endHours":17.126937049469444,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:43","startHours":9.117872769337081,"endHours":10.719685625363553,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:55","startHours":12.321498481390027,"endHours":13.9233113374165,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.904297721866886,"endHours":9.331447816807277,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:47","startHours":6.448184675959627,"endHours":6.7899047519119415,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.894348386449634,"endHours":12.74864857633042,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:04","startHours":4.205646677522566,"endHours":5.059946867403351,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:55","startHours":4.846371819933155,"endHours":5.914247057284136,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:19","startHours":14.45724895609199,"endHours":15.311549145972775,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.528749905495918,"endHours":18.928749905495916,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:16","startHours":18.728749905495917,"endHours":19.262687524171408,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.478749905495917,"endHours":20.228749905495917,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.894348386449632,"endHours":24.74864857633042,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:55","end":"07:31","startHours":5.914247057284136,"endHours":7.516059913310609,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:07","startHours":7.516059913310609,"endHours":9.117872769337081,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:43","startHours":9.117872769337081,"endHours":10.719685625363553,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:19","startHours":10.719685625363553,"endHours":12.321498481390027,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:55","startHours":12.321498481390027,"endHours":13.9233113374165,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:32","startHours":13.9233113374165,"endHours":15.525124193442972,"quality":"inauspicious"},{"name":"Śubha","start":"15:32","end":"17:08","startHours":15.525124193442972,"endHours":17.126937049469444,"quality":"auspicious"},{"name":"Roga","start":"17:08","end":"18:44","startHours":17.126937049469444,"endHours":18.728749905495917,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:44","end":"20:08","startHours":18.728749905495917,"endHours":20.126937049469444,"quality":"inauspicious"},{"name":"Śubha","start":"20:08","end":"21:32","startHours":20.126937049469444,"endHours":21.52512419344297,"quality":"auspicious"},{"name":"Roga","start":"21:32","end":"22:55","startHours":21.52512419344297,"endHours":22.9233113374165,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:19","startHours":22.9233113374165,"endHours":24.321498481390027,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:43","startHours":24.321498481390027,"endHours":25.719685625363553,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:07","startHours":25.719685625363553,"endHours":27.117872769337083,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:31","startHours":27.117872769337083,"endHours":28.51605991331061,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:55","startHours":28.51605991331061,"endHours":29.914247057284136,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.914247057284136,"endHours":6.914247057284136,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.914247057284136,"endHours":7.914247057284136,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.914247057284136,"endHours":8.914247057284136,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.914247057284136,"endHours":9.914247057284136,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.914247057284136,"endHours":10.914247057284136,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.914247057284136,"endHours":11.914247057284136,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.914247057284136,"endHours":12.914247057284136,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.914247057284136,"endHours":13.914247057284136,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.914247057284136,"endHours":14.914247057284136,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.914247057284136,"endHours":15.914247057284136,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.914247057284136,"endHours":16.914247057284136,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.914247057284136,"endHours":17.914247057284136,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.914247057284136,"endHours":18.914247057284136,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.914247057284136,"endHours":19.914247057284136,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.914247057284136,"endHours":20.914247057284136,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.914247057284136,"endHours":21.914247057284136,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.914247057284136,"endHours":22.914247057284136,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.914247057284136,"endHours":23.914247057284136,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.914247057284136,"endHours":24.914247057284136,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.914247057284136,"endHours":25.914247057284136,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.914247057284136,"endHours":26.914247057284136,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.914247057284136,"endHours":27.914247057284136,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.914247057284136,"endHours":28.914247057284136,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.914247057284136,"endHours":29.914247057284136,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.788976525017276,"eotMinutes":0.015291116598477705,"ayanamsa":-10.8426}},"calendars":{"vikram_samvat":-427,"saka_samvat":-562,"bengali_samvat":-1077,"malayalam_era":-1308,"nanakshahi_year":-1953,"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 Trayodaśī · Vikram -427 undefined · Śaka -562 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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 16, 485 BCE · Mathurā · Vidhyamitra","description":"April 16, 485 BCE for Mathurā: Śukla Trayodaśī, sūryodaya 05:55, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0484-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0484-04-16","sa":"https://sa.vidhyamitra.com/city/mathura/-0484-04-16","hi":"https://hi.vidhyamitra.com/city/mathura/-0484-04-16","x-default":"https://vidhyamitra.com/city/mathura/-0484-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:19:25.960Z","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":"2026-09-06T12:19:25.960Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:19:25.960Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}