{"id":"vidhyamitra:city-day:mathura:-0504-06-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0504-06-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-06-02","date_display":"June 2, 505 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":-504,"month":6,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537124.770833,"kali_year":2598,"ahargana":948659.2708,"sun":{"sidereal_longitude":80.9331,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.6353,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.7022,"elapsed_within_tithi_degrees":10.7022},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6353,"elapsed_within_degrees":0.9686},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.5683},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-504,"month":6,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537124.770833,"ahargana":948659.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1201,"grahas":{"sun":{"sidereal_longitude":80.9331,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.6353,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-0.6125},"mars":{"sidereal_longitude":352.465,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":56.1534,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":0.2425,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":39.7262,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":42.5691,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":315.4666,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":135.4666,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":-504,"month":6,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537124.770833,"kali_year":2598,"ahargana":948659.2708,"sun":{"sidereal_longitude":80.9331,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.6353,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.7022,"elapsed_within_tithi_degrees":10.7022},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6353,"elapsed_within_degrees":0.9686},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.5683},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.613,"elongation":133.298},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.613,"opposition_distance":46.702}},"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":"05:25","sunsetLocal":"19:10","solarNoonLocal":"12:17","dayLengthHours":13.749938193167559,"dayLengthDisplay":"13 Hours 45 Mins 00 Secs","nightLengthDisplay":"10 Hours 15 Mins 00 Secs","moonriseLocal":"22:07","moonsetLocal":"08:41","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"14:00","startHours":12.285009357956397,"endHours":14.003751632102343,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:51","startHours":7.128782535518562,"endHours":8.847524809664506,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:17","startHours":10.566267083810452,"endHours":12.285009357956397,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.618359173111713,"endHours":9.076690446217299,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.982954352754599,"endHours":6.349619371239068,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:45","startHours":11.826678084850812,"endHours":12.743340631061983,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.576715168950276,"endHours":4.493377715161447,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:25","startHours":4.264212078608654,"endHours":5.410040261372617,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:30","startHours":14.576665723484325,"endHours":15.493328269695496,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.959978454540177,"endHours":19.359978454540176,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:44","startHours":19.159978454540177,"endHours":19.73289254592216,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.909978454540177,"endHours":20.659978454540177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:45","startHours":23.826678084850812,"endHours":24.743340631061983,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:25","end":"07:08","startHours":5.410040261372617,"endHours":7.128782535518562,"quality":"auspicious"},{"name":"Amṛta","start":"07:08","end":"08:51","startHours":7.128782535518562,"endHours":8.847524809664506,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:34","startHours":8.847524809664506,"endHours":10.566267083810452,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:17","startHours":10.566267083810452,"endHours":12.285009357956397,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"14:00","startHours":12.285009357956397,"endHours":14.003751632102343,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:43","startHours":14.003751632102343,"endHours":15.722493906248285,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:26","startHours":15.722493906248285,"endHours":17.44123618039423,"quality":"neutral"},{"name":"Labha","start":"17:26","end":"19:10","startHours":17.44123618039423,"endHours":19.159978454540177,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:10","end":"20:26","startHours":19.159978454540177,"endHours":20.44123618039423,"quality":"inauspicious"},{"name":"Chala","start":"20:26","end":"21:43","startHours":20.44123618039423,"endHours":21.72249390624829,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:00","startHours":21.72249390624829,"endHours":23.003751632102343,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:17","startHours":23.003751632102343,"endHours":24.285009357956397,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:34","startHours":24.285009357956397,"endHours":25.56626708381045,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:51","startHours":25.56626708381045,"endHours":26.847524809664506,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:08","startHours":26.847524809664506,"endHours":28.128782535518564,"quality":"inauspicious"},{"name":"Udveg","start":"04:08","end":"05:25","startHours":28.128782535518564,"endHours":29.410040261372618,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.410040261372617,"endHours":6.410040261372617,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.410040261372617,"endHours":7.410040261372617,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.410040261372617,"endHours":8.410040261372618,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.410040261372618,"endHours":9.410040261372618,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.410040261372618,"endHours":10.410040261372618,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.410040261372618,"endHours":11.410040261372618,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.410040261372618,"endHours":12.410040261372618,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.410040261372618,"endHours":13.410040261372618,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.410040261372618,"endHours":14.410040261372618,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.410040261372618,"endHours":15.410040261372618,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.410040261372618,"endHours":16.410040261372618,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.410040261372618,"endHours":17.410040261372618,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.410040261372618,"endHours":18.410040261372618,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.410040261372618,"endHours":19.410040261372618,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.410040261372618,"endHours":20.410040261372618,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.410040261372618,"endHours":21.410040261372618,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.410040261372618,"endHours":22.410040261372618,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.410040261372618,"endHours":23.410040261372618,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.410040261372618,"endHours":24.410040261372618,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.410040261372618,"endHours":25.410040261372618,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.410040261372618,"endHours":26.410040261372618,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.410040261372618,"endHours":27.410040261372618,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.410040261372618,"endHours":28.410040261372618,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.410040261372618,"endHours":29.410040261372618,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.91929932300965,"eotMinutes":2.2046385226161185,"ayanamsa":-11.1201}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"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 -447 undefined · Śaka -582 undefined"},"festivals":[{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Budhavāra (Wednesday) — 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 2, 505 BCE · Mathurā · Vidhyamitra","description":"June 2, 505 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:25, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0504-06-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0504-06-02","sa":"https://sa.vidhyamitra.com/city/mathura/-0504-06-02","hi":"https://hi.vidhyamitra.com/city/mathura/-0504-06-02","x-default":"https://vidhyamitra.com/city/mathura/-0504-06-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T22:07:48.881Z","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":"2026-09-06T22:07:48.881Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T22:07:48.881Z","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"}}}