{"id":"vidhyamitra:city-day:mathura:-0468-03-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-03-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-06","date_display":"March 6, 469 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":-468,"month":3,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550185.770833,"kali_year":2633,"ahargana":961720.2708,"sun":{"sidereal_longitude":356.3901,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":320.4577,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.0675,"elapsed_within_tithi_degrees":0.0675},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.4577,"elapsed_within_degrees":0.4577},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.8478},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-468,"month":3,"day":6,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550185.770833,"ahargana":961720.2708,"kali_year":2633,"ayanamsa_lahiri":-10.6206,"grahas":{"sun":{"sidereal_longitude":356.3901,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":320.4577,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-1.7549},"mars":{"sidereal_longitude":329.9823,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":2.946,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":354.6313,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":3.1946,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.2235,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":343.4319,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.4319,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":-468,"month":3,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550185.770833,"kali_year":2633,"ahargana":961720.2708,"sun":{"sidereal_longitude":356.3901,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":320.4577,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.0675,"elapsed_within_tithi_degrees":0.0675},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.4577,"elapsed_within_degrees":0.4577},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.8478},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.755,"elongation":35.932},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.755,"opposition_distance":144.068}},"eclipse_window_40days":[{"offset_days":3,"type":"solar","occurs":true,"moon_latitude":1.203,"elongation":0.524}]},"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":"06:39","sunsetLocal":"18:23","solarNoonLocal":"12:31","dayLengthHours":11.735182517718934,"dayLengthDisplay":"11 Hours 44 Mins 07 Secs","nightLengthDisplay":"12 Hours 15 Mins 53 Secs","moonriseLocal":"04:43","moonsetLocal":"15:32","rahuKala":{"name":"Rāhu Kāla","start":"15:27","end":"16:55","startHours":15.455621665456844,"endHours":16.922519480171708,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:35","end":"11:03","startHours":9.588030406597376,"endHours":11.054928221312244,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:59","startHours":12.521826036027111,"endHours":13.988723850741977,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:47","startHours":9.39244403130206,"endHours":9.783616781892693,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:09","end":"07:27","startHours":7.143200715405932,"endHours":7.456138915878437,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:55","startHours":12.130653285436479,"endHours":12.91299878661774,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:52","startHours":5.089543774805119,"endHours":5.871889275986381,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:41","end":"06:39","startHours":5.676302900691065,"endHours":6.654234777167643,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:16","startHours":14.477689788980266,"endHours":15.260035290161529,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.189417294886578,"endHours":18.589417294886577,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:53","startHours":18.389417294886577,"endHours":18.878383233124865,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.139417294886577,"endHours":19.889417294886577,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:55","startHours":24.130653285436477,"endHours":24.912998786617738,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:39","end":"08:07","startHours":6.654234777167643,"endHours":8.12113259188251,"quality":"inauspicious"},{"name":"Udveg","start":"08:07","end":"09:35","startHours":8.12113259188251,"endHours":9.588030406597376,"quality":"inauspicious"},{"name":"Chala","start":"09:35","end":"11:03","startHours":9.588030406597376,"endHours":11.054928221312244,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:31","startHours":11.054928221312244,"endHours":12.521826036027111,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:59","startHours":12.521826036027111,"endHours":13.988723850741977,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:27","startHours":13.988723850741977,"endHours":15.455621665456844,"quality":"inauspicious"},{"name":"Śubha","start":"15:27","end":"16:55","startHours":15.455621665456844,"endHours":16.922519480171708,"quality":"auspicious"},{"name":"Roga","start":"16:55","end":"18:23","startHours":16.922519480171708,"endHours":18.389417294886577,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:55","startHours":18.389417294886577,"endHours":19.92251948017171,"quality":"inauspicious"},{"name":"Śubha","start":"19:55","end":"21:27","startHours":19.92251948017171,"endHours":21.455621665456842,"quality":"auspicious"},{"name":"Roga","start":"21:27","end":"22:59","startHours":21.455621665456842,"endHours":22.988723850741977,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:31","startHours":22.988723850741977,"endHours":24.52182603602711,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:03","startHours":24.52182603602711,"endHours":26.054928221312245,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:35","startHours":26.054928221312245,"endHours":27.588030406597376,"quality":"auspicious"},{"name":"Amṛta","start":"03:35","end":"05:07","startHours":27.588030406597376,"endHours":29.12113259188251,"quality":"auspicious"},{"name":"Kāla","start":"05:07","end":"06:39","startHours":29.12113259188251,"endHours":30.654234777167645,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:39","end":"07:39","startHours":6.654234777167643,"endHours":7.654234777167643,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:39","end":"08:39","startHours":7.654234777167643,"endHours":8.654234777167643,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:39","end":"09:39","startHours":8.654234777167643,"endHours":9.654234777167643,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:39","end":"10:39","startHours":9.654234777167643,"endHours":10.654234777167643,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:39","end":"11:39","startHours":10.654234777167643,"endHours":11.654234777167643,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:39","end":"12:39","startHours":11.654234777167643,"endHours":12.654234777167643,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:39","end":"13:39","startHours":12.654234777167643,"endHours":13.654234777167643,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:39","end":"14:39","startHours":13.654234777167643,"endHours":14.654234777167643,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:39","end":"15:39","startHours":14.654234777167643,"endHours":15.654234777167643,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:39","end":"16:39","startHours":15.654234777167643,"endHours":16.654234777167645,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:39","end":"17:39","startHours":16.654234777167645,"endHours":17.654234777167645,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:39","end":"18:39","startHours":17.654234777167645,"endHours":18.654234777167645,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:39","end":"19:39","startHours":18.654234777167645,"endHours":19.654234777167645,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:39","end":"20:39","startHours":19.654234777167645,"endHours":20.654234777167645,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:39","end":"21:39","startHours":20.654234777167645,"endHours":21.654234777167645,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:39","end":"22:39","startHours":21.654234777167645,"endHours":22.654234777167645,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:39","end":"23:39","startHours":22.654234777167645,"endHours":23.654234777167645,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:39","end":"00:39","startHours":23.654234777167645,"endHours":24.654234777167645,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:39","end":"01:39","startHours":24.654234777167645,"endHours":25.654234777167645,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:39","end":"02:39","startHours":25.654234777167645,"endHours":26.654234777167645,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:39","end":"03:39","startHours":26.654234777167645,"endHours":27.654234777167645,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:39","end":"04:39","startHours":27.654234777167645,"endHours":28.654234777167645,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:39","end":"05:39","startHours":28.654234777167645,"endHours":29.654234777167645,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:39","end":"06:39","startHours":29.654234777167645,"endHours":30.654234777167645,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.610883853029466,"eotMinutes":-12.004362161626561,"ayanamsa":-10.6206}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"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 Trayodaśī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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 6, 469 BCE · Mathurā · Vidhyamitra","description":"March 6, 469 BCE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 06:39, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-03-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-03-06","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-03-06","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-03-06","x-default":"https://vidhyamitra.com/city/mathura/-0468-03-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:47:07.501Z","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":"2026-09-06T12:47:07.501Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:47:07.501Z","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"}}}