{"id":"vidhyamitra:city-day:mathura:-0511-03-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0511-03-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-03-03","date_display":"March 3, 512 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":-511,"month":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534476.770833,"kali_year":2590,"ahargana":946011.2708,"sun":{"sidereal_longitude":353.5742,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":337.1347,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.5605,"elapsed_within_tithi_degrees":7.5605},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.1347,"elapsed_within_degrees":3.8014},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.7089},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":-511,"month":3,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534476.770833,"ahargana":946011.2708,"kali_year":2590,"ayanamsa_lahiri":-11.2214,"grahas":{"sun":{"sidereal_longitude":353.5742,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":337.1347,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-3.9486},"mars":{"sidereal_longitude":2.8378,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":335.2822,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":117.7488,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":14.7138,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":309.5427,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":95.7703,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":275.7703,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":3,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534476.770833,"kali_year":2590,"ahargana":946011.2708,"sun":{"sidereal_longitude":353.5742,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":337.1347,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":343.5605,"elapsed_within_tithi_degrees":7.5605},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.1347,"elapsed_within_degrees":3.8014},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.7089},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.949,"elongation":16.439},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.949,"opposition_distance":163.561}},"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":"06:43","sunsetLocal":"18:21","solarNoonLocal":"12:32","dayLengthHours":11.643118440349088,"dayLengthDisplay":"11 Hours 38 Mins 35 Secs","nightLengthDisplay":"12 Hours 21 Mins 25 Secs","moonriseLocal":"05:51","moonsetLocal":"17:02","rahuKala":{"name":"Rāhu Kāla","start":"08:10","end":"09:37","startHours":8.166493584805101,"endHours":9.621883389848737,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:32","startHours":11.077273194892374,"endHours":12.53266299993601,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:59","end":"15:27","startHours":13.988052804979645,"endHours":15.443442610023283,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:49","startHours":9.42783141584292,"endHours":9.815935363854557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.196233714776011,"endHours":7.50671687318532,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:55","startHours":12.144559051924373,"endHours":12.920766947947646,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:10","end":"05:56","startHours":5.15868798771492,"endHours":5.934895883738193,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:43","startHours":5.740843909732375,"endHours":6.711103779761466,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:15","startHours":14.473182739994192,"endHours":15.249390636017464,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.154222220110555,"endHours":18.554222220110553,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:50","startHours":18.354222220110554,"endHours":18.8393521551251,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.104222220110554,"endHours":19.854222220110554,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:55","startHours":24.14455905192437,"endHours":24.920766947947644,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:43","end":"08:10","startHours":6.711103779761466,"endHours":8.166493584805101,"quality":"auspicious"},{"name":"Kāla","start":"08:10","end":"09:37","startHours":8.166493584805101,"endHours":9.621883389848737,"quality":"inauspicious"},{"name":"Śubha","start":"09:37","end":"11:05","startHours":9.621883389848737,"endHours":11.077273194892374,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:32","startHours":11.077273194892374,"endHours":12.53266299993601,"quality":"inauspicious"},{"name":"Udveg","start":"12:32","end":"13:59","startHours":12.53266299993601,"endHours":13.988052804979645,"quality":"inauspicious"},{"name":"Chala","start":"13:59","end":"15:27","startHours":13.988052804979645,"endHours":15.443442610023283,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"16:54","startHours":15.443442610023283,"endHours":16.89883241506692,"quality":"auspicious"},{"name":"Amṛta","start":"16:54","end":"18:21","startHours":16.89883241506692,"endHours":18.354222220110554,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:21","end":"19:54","startHours":18.354222220110554,"endHours":19.898832415066916,"quality":"neutral"},{"name":"Labha","start":"19:54","end":"21:27","startHours":19.898832415066916,"endHours":21.443442610023283,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:59","startHours":21.443442610023283,"endHours":22.988052804979645,"quality":"auspicious"},{"name":"Kāla","start":"22:59","end":"00:32","startHours":22.988052804979645,"endHours":24.532662999936008,"quality":"inauspicious"},{"name":"Śubha","start":"00:32","end":"02:05","startHours":24.532662999936008,"endHours":26.077273194892374,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:37","startHours":26.077273194892374,"endHours":27.621883389848737,"quality":"inauspicious"},{"name":"Udveg","start":"03:37","end":"05:10","startHours":27.621883389848737,"endHours":29.166493584805103,"quality":"inauspicious"},{"name":"Chala","start":"05:10","end":"06:43","startHours":29.166493584805103,"endHours":30.711103779761466,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:43","end":"07:43","startHours":6.711103779761466,"endHours":7.711103779761466,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:43","end":"08:43","startHours":7.711103779761466,"endHours":8.711103779761466,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:43","end":"09:43","startHours":8.711103779761466,"endHours":9.711103779761466,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:43","end":"10:43","startHours":9.711103779761466,"endHours":10.711103779761466,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:43","end":"11:43","startHours":10.711103779761466,"endHours":11.711103779761466,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:43","end":"12:43","startHours":11.711103779761466,"endHours":12.711103779761466,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:43","end":"13:43","startHours":12.711103779761466,"endHours":13.711103779761466,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:43","end":"14:43","startHours":13.711103779761466,"endHours":14.711103779761466,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:43","end":"15:43","startHours":14.711103779761466,"endHours":15.711103779761466,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:43","end":"16:43","startHours":15.711103779761466,"endHours":16.711103779761466,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:43","end":"17:43","startHours":16.711103779761466,"endHours":17.711103779761466,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:43","end":"18:43","startHours":17.711103779761466,"endHours":18.711103779761466,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:43","end":"19:43","startHours":18.711103779761466,"endHours":19.711103779761466,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:43","end":"20:43","startHours":19.711103779761466,"endHours":20.711103779761466,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:43","end":"21:43","startHours":20.711103779761466,"endHours":21.711103779761466,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:43","end":"22:43","startHours":21.711103779761466,"endHours":22.711103779761466,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:43","end":"23:43","startHours":22.711103779761466,"endHours":23.711103779761466,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:43","end":"00:43","startHours":23.711103779761466,"endHours":24.711103779761466,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:43","end":"01:43","startHours":24.711103779761466,"endHours":25.711103779761466,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:43","end":"02:43","startHours":25.711103779761466,"endHours":26.711103779761466,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:43","end":"03:43","startHours":26.711103779761466,"endHours":27.711103779761466,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:43","end":"04:43","startHours":27.711103779761466,"endHours":28.711103779761466,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:43","end":"05:43","startHours":28.711103779761466,"endHours":29.711103779761466,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:43","end":"06:43","startHours":29.711103779761466,"endHours":30.711103779761466,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.9252651272583945,"eotMinutes":-12.654579996160596,"ayanamsa":-11.2214}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"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 Caturdaśī · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Māsika Śivarātri 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 March 3, 512 BCE · Mathurā · Vidhyamitra","description":"March 3, 512 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:43, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0511-03-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0511-03-03","sa":"https://sa.vidhyamitra.com/city/mathura/-0511-03-03","hi":"https://hi.vidhyamitra.com/city/mathura/-0511-03-03","x-default":"https://vidhyamitra.com/city/mathura/-0511-03-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T17:31:37.509Z","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":"2026-08-13T17:31:37.509Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T17:31:37.509Z","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"}}}