{"id":"vidhyamitra:city-day:mathura:-0528-04-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0528-04-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0528-04-21","date_display":"April 21, 529 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":-528,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528316.770833,"kali_year":2574,"ahargana":939851.2708,"sun":{"sidereal_longitude":41.2908,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":169.8474,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.5566,"elapsed_within_tithi_degrees":8.5566},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.8474,"elapsed_within_degrees":9.8474},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.1381},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-528,"month":4,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1528316.770833,"ahargana":939851.2708,"kali_year":2574,"ayanamsa_lahiri":-11.457,"grahas":{"sun":{"sidereal_longitude":41.2908,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":169.8474,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":4.2868},"mars":{"sidereal_longitude":31.5468,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":13.6074,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":347.1934,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":353.607,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":107.8216,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":62.1568,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.1568,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":-528,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528316.770833,"kali_year":2574,"ahargana":939851.2708,"sun":{"sidereal_longitude":41.2908,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":169.8474,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.5566,"elapsed_within_tithi_degrees":8.5566},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.8474,"elapsed_within_degrees":9.8474},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.1381},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.287,"elongation":128.557},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.287,"opposition_distance":51.443}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":1.112,"opposition_distance":2.517},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.293,"elongation":1.94}]},"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":"05:50","sunsetLocal":"18:46","solarNoonLocal":"12:18","dayLengthHours":12.932534489027404,"dayLengthDisplay":"12 Hours 55 Mins 57 Secs","nightLengthDisplay":"11 Hours 04 Mins 03 Secs","moonriseLocal":"14:32","moonsetLocal":"03:13","rahuKala":{"name":"Rāhu Kāla","start":"07:27","end":"09:04","startHours":7.452264085928687,"endHours":9.068830897057111,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:41","end":"12:18","startHours":10.685397708185537,"endHours":12.301964519313962,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:32","startHours":13.918531330442388,"endHours":15.535098141570813,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.853288655573323,"endHours":9.284373138540902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.3745528785097365,"endHours":6.7194204648838,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.870880036346382,"endHours":12.733049002281543,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:58","startHours":4.111359342929941,"endHours":4.973528308865101,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.757986067381311,"endHours":5.835697274800261,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:19","startHours":14.457386934151863,"endHours":15.319555900087023,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.568231763827665,"endHours":18.968231763827664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:18","startHours":18.768231763827664,"endHours":19.30708736753714,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.518231763827664,"endHours":20.268231763827664,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.87088003634638,"endHours":24.733049002281543,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:50","end":"07:27","startHours":5.835697274800261,"endHours":7.452264085928687,"quality":"auspicious"},{"name":"Kāla","start":"07:27","end":"09:04","startHours":7.452264085928687,"endHours":9.068830897057111,"quality":"inauspicious"},{"name":"Śubha","start":"09:04","end":"10:41","startHours":9.068830897057111,"endHours":10.685397708185537,"quality":"auspicious"},{"name":"Roga","start":"10:41","end":"12:18","startHours":10.685397708185537,"endHours":12.301964519313962,"quality":"inauspicious"},{"name":"Udveg","start":"12:18","end":"13:55","startHours":12.301964519313962,"endHours":13.918531330442388,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:32","startHours":13.918531330442388,"endHours":15.535098141570813,"quality":"neutral"},{"name":"Labha","start":"15:32","end":"17:09","startHours":15.535098141570813,"endHours":17.15166495269924,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:46","startHours":17.15166495269924,"endHours":18.768231763827664,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:46","end":"20:09","startHours":18.768231763827664,"endHours":20.15166495269924,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:32","startHours":20.15166495269924,"endHours":21.535098141570813,"quality":"auspicious"},{"name":"Amṛta","start":"21:32","end":"22:55","startHours":21.535098141570813,"endHours":22.918531330442388,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:18","startHours":22.918531330442388,"endHours":24.301964519313962,"quality":"inauspicious"},{"name":"Śubha","start":"00:18","end":"01:41","startHours":24.301964519313962,"endHours":25.685397708185537,"quality":"auspicious"},{"name":"Roga","start":"01:41","end":"03:04","startHours":25.685397708185537,"endHours":27.06883089705711,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:27","startHours":27.06883089705711,"endHours":28.452264085928686,"quality":"inauspicious"},{"name":"Chala","start":"04:27","end":"05:50","startHours":28.452264085928686,"endHours":29.83569727480026,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.835697274800261,"endHours":6.835697274800261,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.835697274800261,"endHours":7.835697274800261,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.835697274800261,"endHours":8.83569727480026,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.83569727480026,"endHours":9.83569727480026,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.83569727480026,"endHours":10.83569727480026,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.83569727480026,"endHours":11.83569727480026,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.83569727480026,"endHours":12.83569727480026,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.83569727480026,"endHours":13.83569727480026,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.83569727480026,"endHours":14.83569727480026,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.83569727480026,"endHours":15.83569727480026,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.83569727480026,"endHours":16.83569727480026,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83569727480026,"endHours":17.83569727480026,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83569727480026,"endHours":18.83569727480026,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83569727480026,"endHours":19.83569727480026,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83569727480026,"endHours":20.83569727480026,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83569727480026,"endHours":21.83569727480026,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83569727480026,"endHours":22.83569727480026,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83569727480026,"endHours":23.83569727480026,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83569727480026,"endHours":24.83569727480026,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83569727480026,"endHours":25.83569727480026,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83569727480026,"endHours":26.83569727480026,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83569727480026,"endHours":27.83569727480026,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83569727480026,"endHours":28.83569727480026,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83569727480026,"endHours":29.83569727480026,"planetary_lord":"Venus"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":11.412210614076281,"eotMinutes":1.1873288411622274,"ayanamsa":-11.457}},"calendars":{"vikram_samvat":-471,"saka_samvat":-606,"bengali_samvat":-1121,"malayalam_era":-1352,"nanakshahi_year":-1997,"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 -471 undefined · Śaka -606 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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Nirjalā Ekādaśī · Ekādaśī is not live yet; Somavāra (Monday) — 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 21, 529 BCE · Mathurā · Vidhyamitra","description":"April 21, 529 BCE for Mathurā: Śukla Ekādaśī, sūryodaya 05:50, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0528-04-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0528-04-21","sa":"https://sa.vidhyamitra.com/city/mathura/-0528-04-21","hi":"https://hi.vidhyamitra.com/city/mathura/-0528-04-21","x-default":"https://vidhyamitra.com/city/mathura/-0528-04-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T02:02:24.236Z","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":"2026-08-11T02:02:24.236Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T02:02:24.236Z","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"}}}