{"id":"vidhyamitra:city-day:mathura:-0504-03-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0504-03-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-03-03","date_display":"March 3, 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":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537033.770833,"kali_year":2597,"ahargana":948568.2708,"sun":{"sidereal_longitude":353.7593,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":196.2627,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.5034,"elapsed_within_tithi_degrees":10.5034},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":196.2627,"elapsed_within_degrees":9.596},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.022},"karana":{"half_tithi_index":33,"name":"Gara"},"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":3,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537033.770833,"ahargana":948568.2708,"kali_year":2597,"ayanamsa_lahiri":-11.1236,"grahas":{"sun":{"sidereal_longitude":353.7593,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":196.2627,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-3.7283},"mars":{"sidereal_longitude":290.9997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":341.2909,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":344.1511,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":318.3088,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":30.6574,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":320.2882,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":140.2882,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":-504,"month":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537033.770833,"kali_year":2597,"ahargana":948568.2708,"sun":{"sidereal_longitude":353.7593,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":196.2627,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.5034,"elapsed_within_tithi_degrees":10.5034},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":196.2627,"elapsed_within_degrees":9.596},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.022},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.728,"elongation":157.497},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.728,"opposition_distance":22.503}},"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":"06:42","sunsetLocal":"18:21","solarNoonLocal":"12:32","dayLengthHours":11.650706322107158,"dayLengthDisplay":"11 Hours 39 Mins 03 Secs","nightLengthDisplay":"12 Hours 20 Mins 57 Secs","moonriseLocal":"20:04","moonsetLocal":"08:00","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"13:59","startHours":12.53266299993601,"endHours":13.989001290199404,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:10","end":"09:37","startHours":8.163648129145825,"endHours":9.61998641940922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:05","end":"12:32","startHours":11.076324709672615,"endHours":12.53266299993601,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:49","startHours":9.425807980707434,"endHours":9.814164858111006,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.192755935636896,"endHours":7.503441437559753,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:55","startHours":12.144306122532438,"endHours":12.921019877339582,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:09","end":"05:56","startHours":5.153882329268143,"endHours":5.930596084075287,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:42","startHours":5.736417645373501,"endHours":6.707309838882431,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:15","startHours":14.47444738695387,"endHours":15.251161141761013,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.15801616098959,"endHours":18.558016160989588,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:51","startHours":18.35801616098959,"endHours":18.843462257744054,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.10801616098959,"endHours":19.85801616098959,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:55","startHours":24.144306122532434,"endHours":24.92101987733958,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:42","end":"08:10","startHours":6.707309838882431,"endHours":8.163648129145825,"quality":"auspicious"},{"name":"Amṛta","start":"08:10","end":"09:37","startHours":8.163648129145825,"endHours":9.61998641940922,"quality":"auspicious"},{"name":"Kāla","start":"09:37","end":"11:05","startHours":9.61998641940922,"endHours":11.076324709672615,"quality":"inauspicious"},{"name":"Śubha","start":"11:05","end":"12:32","startHours":11.076324709672615,"endHours":12.53266299993601,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"13:59","startHours":12.53266299993601,"endHours":13.989001290199404,"quality":"inauspicious"},{"name":"Udveg","start":"13:59","end":"15:27","startHours":13.989001290199404,"endHours":15.4453395804628,"quality":"inauspicious"},{"name":"Chala","start":"15:27","end":"16:54","startHours":15.4453395804628,"endHours":16.901677870726196,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:21","startHours":16.901677870726196,"endHours":18.35801616098959,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:21","end":"19:54","startHours":18.35801616098959,"endHours":19.901677870726193,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:27","startHours":19.901677870726193,"endHours":21.4453395804628,"quality":"neutral"},{"name":"Labha","start":"21:27","end":"22:59","startHours":21.4453395804628,"endHours":22.989001290199404,"quality":"auspicious"},{"name":"Amṛta","start":"22:59","end":"00:32","startHours":22.989001290199404,"endHours":24.532662999936008,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"02:05","startHours":24.532662999936008,"endHours":26.076324709672615,"quality":"inauspicious"},{"name":"Śubha","start":"02:05","end":"03:37","startHours":26.076324709672615,"endHours":27.61998641940922,"quality":"auspicious"},{"name":"Roga","start":"03:37","end":"05:10","startHours":27.61998641940922,"endHours":29.163648129145827,"quality":"inauspicious"},{"name":"Udveg","start":"05:10","end":"06:42","startHours":29.163648129145827,"endHours":30.70730983888243,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.707309838882431,"endHours":7.707309838882431,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.707309838882431,"endHours":8.70730983888243,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.70730983888243,"endHours":9.70730983888243,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.70730983888243,"endHours":10.70730983888243,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.70730983888243,"endHours":11.70730983888243,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.70730983888243,"endHours":12.70730983888243,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.70730983888243,"endHours":13.70730983888243,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.70730983888243,"endHours":14.70730983888243,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.70730983888243,"endHours":15.70730983888243,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.70730983888243,"endHours":16.70730983888243,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.70730983888243,"endHours":17.70730983888243,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.70730983888243,"endHours":18.70730983888243,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.70730983888243,"endHours":19.70730983888243,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.70730983888243,"endHours":20.70730983888243,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.70730983888243,"endHours":21.70730983888243,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.70730983888243,"endHours":22.70730983888243,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.70730983888243,"endHours":23.70730983888243,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.70730983888243,"endHours":24.70730983888243,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.70730983888243,"endHours":25.70730983888243,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.70730983888243,"endHours":26.70730983888243,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.70730983888243,"endHours":27.70730983888243,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.70730983888243,"endHours":28.70730983888243,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.70730983888243,"endHours":29.70730983888243,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.70730983888243,"endHours":30.70730983888243,"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.817181498376088,"eotMinutes":-12.654579996160596,"ayanamsa":-11.1236}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Dvitīyā · Vikram -447 undefined · Śaka -582 undefined"},"festivals":[],"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":"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 March 3, 505 BCE · Mathurā · Vidhyamitra","description":"March 3, 505 BCE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 06:42, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0504-03-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0504-03-03","sa":"https://sa.vidhyamitra.com/city/mathura/-0504-03-03","hi":"https://hi.vidhyamitra.com/city/mathura/-0504-03-03","x-default":"https://vidhyamitra.com/city/mathura/-0504-03-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T20:00:39.027Z","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":"2026-09-10T20:00:39.027Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T20:00:39.027Z","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"}}}