{"id":"vidhyamitra:city-day:mathura:-0484-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0484-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0484-05-21","date_display":"May 21, 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":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1544417.770833,"kali_year":2618,"ahargana":955952.2708,"sun":{"sidereal_longitude":69.4089,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":290.1215,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.7126,"elapsed_within_tithi_degrees":4.7126},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.1215,"elapsed_within_degrees":10.1215},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.5304},"karana":{"half_tithi_index":36,"name":"Bava"},"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":5,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1544417.770833,"ahargana":955952.2708,"kali_year":2618,"ayanamsa_lahiri":-10.8412,"grahas":{"sun":{"sidereal_longitude":69.4089,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":290.1215,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":0.0842},"mars":{"sidereal_longitude":142.4786,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":43.8701,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":239.017,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":97.4486,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":283.9826,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":289.0483,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":109.0483,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":-484,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1544417.770833,"kali_year":2618,"ahargana":955952.2708,"sun":{"sidereal_longitude":69.4089,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":290.1215,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.7126,"elapsed_within_tithi_degrees":4.7126},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.1215,"elapsed_within_degrees":10.1215},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.5304},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.084,"elongation":139.287},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.084,"opposition_distance":40.713}},"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":"05:28","sunsetLocal":"19:03","solarNoonLocal":"12:16","dayLengthHours":13.57860590207364,"dayLengthDisplay":"13 Hours 34 Mins 43 Secs","nightLengthDisplay":"10 Hours 25 Mins 17 Secs","moonriseLocal":"21:47","moonsetLocal":"08:10","rahuKala":{"name":"Rāhu Kāla","start":"15:39","end":"17:21","startHours":15.657414512477107,"endHours":17.354740250236315,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:52","end":"10:34","startHours":8.868111561440287,"endHours":10.565437299199493,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:58","startHours":12.262763036958699,"endHours":13.960088774717903,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.641801463072394,"endHours":9.094421659808182,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.0392353318416125,"endHours":6.401331489230243,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.81014284022291,"endHours":12.715383233694487,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:34","startHours":3.6629792989787258,"endHours":4.568219692450302,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:28","startHours":4.3419095940824075,"endHours":5.473460085921878,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.525864020637638,"endHours":15.431104414109214,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85206598799552,"endHours":19.25206598799552,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.05206598799552,"endHours":19.617841233915254,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.80206598799552,"endHours":20.55206598799552,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.810142840222912,"endHours":24.715383233694485,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:28","end":"07:10","startHours":5.473460085921878,"endHours":7.170785823681083,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:52","startHours":7.170785823681083,"endHours":8.868111561440287,"quality":"inauspicious"},{"name":"Chala","start":"08:52","end":"10:34","startHours":8.868111561440287,"endHours":10.565437299199493,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:16","startHours":10.565437299199493,"endHours":12.262763036958699,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:58","startHours":12.262763036958699,"endHours":13.960088774717903,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:39","startHours":13.960088774717903,"endHours":15.657414512477107,"quality":"inauspicious"},{"name":"Śubha","start":"15:39","end":"17:21","startHours":15.657414512477107,"endHours":17.354740250236315,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"19:03","startHours":17.354740250236315,"endHours":19.05206598799552,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:21","startHours":19.05206598799552,"endHours":20.354740250236315,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:39","startHours":20.354740250236315,"endHours":21.65741451247711,"quality":"auspicious"},{"name":"Roga","start":"21:39","end":"22:58","startHours":21.65741451247711,"endHours":22.960088774717903,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:16","startHours":22.960088774717903,"endHours":24.2627630369587,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:34","startHours":24.2627630369587,"endHours":25.565437299199495,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:52","startHours":25.565437299199495,"endHours":26.868111561440287,"quality":"auspicious"},{"name":"Amṛta","start":"02:52","end":"04:10","startHours":26.868111561440287,"endHours":28.170785823681083,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:28","startHours":28.170785823681083,"endHours":29.47346008592188,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.473460085921878,"endHours":6.473460085921878,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.473460085921878,"endHours":7.473460085921878,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.473460085921878,"endHours":8.473460085921879,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.473460085921879,"endHours":9.473460085921879,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.473460085921879,"endHours":10.473460085921879,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.473460085921879,"endHours":11.473460085921879,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.473460085921879,"endHours":12.473460085921879,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.473460085921879,"endHours":13.473460085921879,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.473460085921879,"endHours":14.473460085921879,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.473460085921879,"endHours":15.473460085921879,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.473460085921879,"endHours":16.47346008592188,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.47346008592188,"endHours":17.47346008592188,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.47346008592188,"endHours":18.47346008592188,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.47346008592188,"endHours":19.47346008592188,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.47346008592188,"endHours":20.47346008592188,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.47346008592188,"endHours":21.47346008592188,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.47346008592188,"endHours":22.47346008592188,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.47346008592188,"endHours":23.47346008592188,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.47346008592188,"endHours":24.47346008592188,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.47346008592188,"endHours":25.47346008592188,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.47346008592188,"endHours":26.47346008592188,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.47346008592188,"endHours":27.47346008592188,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.47346008592188,"endHours":28.47346008592188,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.47346008592188,"endHours":29.47346008592188,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.838373020713682,"eotMinutes":3.539417782478063,"ayanamsa":-10.8412}},"calendars":{"vikram_samvat":-427,"saka_samvat":-562,"bengali_samvat":-1077,"malayalam_era":-1308,"nanakshahi_year":-1953,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","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":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturthī · Vikram -427 undefined · Śaka -562 undefined"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī 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 May 21, 485 BCE · Mathurā · Vidhyamitra","description":"May 21, 485 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:28, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0484-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0484-05-21","sa":"https://sa.vidhyamitra.com/city/mathura/-0484-05-21","hi":"https://hi.vidhyamitra.com/city/mathura/-0484-05-21","x-default":"https://vidhyamitra.com/city/mathura/-0484-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:12:52.115Z","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":"2026-08-10T13:12:52.115Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:12:52.115Z","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"}}}