{"id":"vidhyamitra:city-day:mathura:-0461-06-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0461-06-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-06-29","date_display":"June 29, 462 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":-461,"month":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552856.770833,"kali_year":2641,"ahargana":964391.2708,"sun":{"sidereal_longitude":105.4669,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":236.0042,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.5373,"elapsed_within_tithi_degrees":10.5373},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":236.0042,"elapsed_within_degrees":9.3375},"yoga":{"number":26,"name":"Indra","sum_longitude":341.4711},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-461,"month":6,"day":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552856.770833,"ahargana":964391.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5185,"grahas":{"sun":{"sidereal_longitude":105.4669,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":236.0042,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":2.5208},"mars":{"sidereal_longitude":239.0712,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":111.3461,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":210.0602,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":61.8997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":208.8793,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":201.9095,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.9095,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":-461,"month":6,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552856.770833,"kali_year":2641,"ahargana":964391.2708,"sun":{"sidereal_longitude":105.4669,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":236.0042,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.5373,"elapsed_within_tithi_degrees":10.5373},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":236.0042,"elapsed_within_degrees":9.3375},"yoga":{"number":26,"name":"Indra","sum_longitude":341.4711},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.521,"elongation":130.537},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.521,"opposition_distance":49.463}},"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":"05:26","sunsetLocal":"19:19","solarNoonLocal":"12:22","dayLengthHours":13.8707653766903,"dayLengthDisplay":"13 Hours 52 Mins 15 Secs","nightLengthDisplay":"10 Hours 07 Mins 45 Secs","moonriseLocal":"15:37","moonsetLocal":"02:32","rahuKala":{"name":"Rāhu Kāla","start":"08:54","end":"10:38","startHours":8.90551946864431,"endHours":10.639365140730597,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:50","startHours":14.107056484903172,"endHours":15.840902156989461,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:26","end":"07:10","startHours":5.437828124471735,"endHours":7.171673796558022,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:08","startHours":8.674340045699472,"endHours":9.136698891589148,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.015776681833831,"endHours":6.385663758545572,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:50","startHours":11.91085196692721,"endHours":12.835569658706563,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:31","startHours":3.588392740913028,"endHours":4.513110432692382,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:26","startHours":4.281931009747543,"endHours":5.437828124471735,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.685005042265267,"endHours":15.60972273404462,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.108593501162037,"endHours":19.508593501162036,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:53","startHours":19.308593501162036,"endHours":19.88654205852413,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.058593501162036,"endHours":20.808593501162036,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:50","startHours":23.910851966927208,"endHours":24.835569658706564,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:26","end":"07:10","startHours":5.437828124471735,"endHours":7.171673796558022,"quality":"inauspicious"},{"name":"Śubha","start":"07:10","end":"08:54","startHours":7.171673796558022,"endHours":8.90551946864431,"quality":"auspicious"},{"name":"Roga","start":"08:54","end":"10:38","startHours":8.90551946864431,"endHours":10.639365140730597,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:22","startHours":10.639365140730597,"endHours":12.373210812816886,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:06","startHours":12.373210812816886,"endHours":14.107056484903172,"quality":"neutral"},{"name":"Labha","start":"14:06","end":"15:50","startHours":14.107056484903172,"endHours":15.840902156989461,"quality":"auspicious"},{"name":"Amṛta","start":"15:50","end":"17:34","startHours":15.840902156989461,"endHours":17.574747829075747,"quality":"auspicious"},{"name":"Kāla","start":"17:34","end":"19:19","startHours":17.574747829075747,"endHours":19.308593501162036,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:19","end":"20:34","startHours":19.308593501162036,"endHours":20.574747829075747,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"21:50","startHours":20.574747829075747,"endHours":21.84090215698946,"quality":"auspicious"},{"name":"Kāla","start":"21:50","end":"23:06","startHours":21.84090215698946,"endHours":23.107056484903175,"quality":"inauspicious"},{"name":"Śubha","start":"23:06","end":"00:22","startHours":23.107056484903175,"endHours":24.373210812816886,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:38","startHours":24.373210812816886,"endHours":25.639365140730597,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"02:54","startHours":25.639365140730597,"endHours":26.90551946864431,"quality":"inauspicious"},{"name":"Chala","start":"02:54","end":"04:10","startHours":26.90551946864431,"endHours":28.171673796558025,"quality":"neutral"},{"name":"Labha","start":"04:10","end":"05:26","startHours":28.171673796558025,"endHours":29.437828124471736,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:26","end":"06:26","startHours":5.437828124471735,"endHours":6.437828124471735,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:26","end":"07:26","startHours":6.437828124471735,"endHours":7.437828124471735,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:26","end":"08:26","startHours":7.437828124471735,"endHours":8.437828124471736,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:26","end":"09:26","startHours":8.437828124471736,"endHours":9.437828124471736,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:26","end":"10:26","startHours":9.437828124471736,"endHours":10.437828124471736,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:26","end":"11:26","startHours":10.437828124471736,"endHours":11.437828124471736,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:26","end":"12:26","startHours":11.437828124471736,"endHours":12.437828124471736,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:26","end":"13:26","startHours":12.437828124471736,"endHours":13.437828124471736,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:26","end":"14:26","startHours":13.437828124471736,"endHours":14.437828124471736,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:26","end":"15:26","startHours":14.437828124471736,"endHours":15.437828124471736,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:26","end":"16:26","startHours":15.437828124471736,"endHours":16.437828124471736,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:26","end":"17:26","startHours":16.437828124471736,"endHours":17.437828124471736,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:26","end":"18:26","startHours":17.437828124471736,"endHours":18.437828124471736,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:26","end":"19:26","startHours":18.437828124471736,"endHours":19.437828124471736,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:26","end":"20:26","startHours":19.437828124471736,"endHours":20.437828124471736,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:26","end":"21:26","startHours":20.437828124471736,"endHours":21.437828124471736,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:26","end":"22:26","startHours":21.437828124471736,"endHours":22.437828124471736,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:26","end":"23:26","startHours":22.437828124471736,"endHours":23.437828124471736,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:26","end":"00:26","startHours":23.437828124471736,"endHours":24.437828124471736,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:26","end":"01:26","startHours":24.437828124471736,"endHours":25.437828124471736,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:26","end":"02:26","startHours":25.437828124471736,"endHours":26.437828124471736,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:26","end":"03:26","startHours":26.437828124471736,"endHours":27.437828124471736,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:26","end":"04:26","startHours":27.437828124471736,"endHours":28.437828124471736,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:26","end":"05:26","startHours":28.437828124471736,"endHours":29.437828124471736,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.343957876825257,"eotMinutes":-3.0874487690131183,"ayanamsa":-10.5185}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ekādaśī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Pavitropanā Ekādaśī (Putradā) · Ekādaśī is not live yet; Śanivāra (Saturday) — 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 June 29, 462 BCE · Mathurā · Vidhyamitra","description":"June 29, 462 BCE for Mathurā: Śukla Ekādaśī, sūryodaya 05:26, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0461-06-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0461-06-29","sa":"https://sa.vidhyamitra.com/city/mathura/-0461-06-29","hi":"https://hi.vidhyamitra.com/city/mathura/-0461-06-29","x-default":"https://vidhyamitra.com/city/mathura/-0461-06-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T05:05:37.888Z","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":"2026-09-08T05:05:37.888Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T05:05:37.888Z","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"}}}