{"id":"vidhyamitra:city-day:mathura:-0468-03-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-03-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-29","date_display":"March 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550208.770833,"kali_year":2634,"ahargana":961743.2708,"sun":{"sidereal_longitude":18.7364,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":270.8234,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.087,"elapsed_within_tithi_degrees":0.087},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.8234,"elapsed_within_degrees":4.1567},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.5598},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550208.770833,"ahargana":961743.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6197,"grahas":{"sun":{"sidereal_longitude":18.7364,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":270.8234,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.2643},"mars":{"sidereal_longitude":347.6835,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":352.5651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":359.6682,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":32.2165,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":120.9743,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":342.2133,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.2133,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-468,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550208.770833,"kali_year":2634,"ahargana":961743.2708,"sun":{"sidereal_longitude":18.7364,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":270.8234,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.087,"elapsed_within_tithi_degrees":0.087},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.8234,"elapsed_within_degrees":4.1567},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.5598},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.264,"elongation":107.913},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.264,"opposition_distance":72.087}},"eclipse_window_40days":[{"offset_days":-20,"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":"06:14","sunsetLocal":"18:35","solarNoonLocal":"12:25","dayLengthHours":12.349123852726052,"dayLengthDisplay":"12 Hours 20 Mins 57 Secs","nightLengthDisplay":"11 Hours 39 Mins 03 Secs","moonriseLocal":"00:01","moonsetLocal":"10:25","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:30","startHours":13.953727310707041,"endHours":15.497367792297798,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:14","end":"07:47","startHours":6.235524902753259,"endHours":7.779165384344015,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:19","end":"10:52","startHours":9.322805865934772,"endHours":10.866446347525528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:32","startHours":9.116987135056004,"endHours":9.52862459681354,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:05","startHours":6.750071729950178,"endHours":7.0793816993562055,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:49","startHours":11.99844936735875,"endHours":12.821724290873819,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:25","startHours":4.588975055723118,"endHours":5.412249979238188,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:14","startHours":5.206431248359421,"endHours":6.235524902753259,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:17","startHours":14.46827413790396,"endHours":15.29154906141903,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.38464875547931,"endHours":18.78464875547931,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:06","startHours":18.58464875547931,"endHours":19.09919558267623,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.33464875547931,"endHours":20.08464875547931,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:49","startHours":23.99844936735875,"endHours":24.82172429087382,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:14","end":"07:47","startHours":6.235524902753259,"endHours":7.779165384344015,"quality":"auspicious"},{"name":"Roga","start":"07:47","end":"09:19","startHours":7.779165384344015,"endHours":9.322805865934772,"quality":"inauspicious"},{"name":"Udveg","start":"09:19","end":"10:52","startHours":9.322805865934772,"endHours":10.866446347525528,"quality":"inauspicious"},{"name":"Chala","start":"10:52","end":"12:25","startHours":10.866446347525528,"endHours":12.410086829116285,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"13:57","startHours":12.410086829116285,"endHours":13.953727310707041,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:30","startHours":13.953727310707041,"endHours":15.497367792297798,"quality":"auspicious"},{"name":"Kāla","start":"15:30","end":"17:02","startHours":15.497367792297798,"endHours":17.041008273888554,"quality":"inauspicious"},{"name":"Śubha","start":"17:02","end":"18:35","startHours":17.041008273888554,"endHours":18.58464875547931,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:35","end":"20:02","startHours":18.58464875547931,"endHours":20.041008273888554,"quality":"auspicious"},{"name":"Kāla","start":"20:02","end":"21:30","startHours":20.041008273888554,"endHours":21.497367792297798,"quality":"inauspicious"},{"name":"Śubha","start":"21:30","end":"22:57","startHours":21.497367792297798,"endHours":22.95372731070704,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:25","startHours":22.95372731070704,"endHours":24.410086829116285,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:52","startHours":24.410086829116285,"endHours":25.866446347525528,"quality":"inauspicious"},{"name":"Chala","start":"01:52","end":"03:19","startHours":25.866446347525528,"endHours":27.32280586593477,"quality":"neutral"},{"name":"Labha","start":"03:19","end":"04:47","startHours":27.32280586593477,"endHours":28.779165384344015,"quality":"auspicious"},{"name":"Amṛta","start":"04:47","end":"06:14","startHours":28.779165384344015,"endHours":30.23552490275326,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.235524902753259,"endHours":7.235524902753259,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.235524902753259,"endHours":8.235524902753259,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.235524902753259,"endHours":9.235524902753259,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.235524902753259,"endHours":10.235524902753259,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.235524902753259,"endHours":11.235524902753259,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.235524902753259,"endHours":12.235524902753259,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.235524902753259,"endHours":13.235524902753259,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.235524902753259,"endHours":14.235524902753259,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.235524902753259,"endHours":15.235524902753259,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.235524902753259,"endHours":16.23552490275326,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.23552490275326,"endHours":17.23552490275326,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.23552490275326,"endHours":18.23552490275326,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.23552490275326,"endHours":19.23552490275326,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.23552490275326,"endHours":20.23552490275326,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.23552490275326,"endHours":21.23552490275326,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.23552490275326,"endHours":22.23552490275326,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.23552490275326,"endHours":23.23552490275326,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.23552490275326,"endHours":24.23552490275326,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.23552490275326,"endHours":25.23552490275326,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.23552490275326,"endHours":26.23552490275326,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.23552490275326,"endHours":27.23552490275326,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.23552490275326,"endHours":28.23552490275326,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.23552490275326,"endHours":29.23552490275326,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.23552490275326,"endHours":30.23552490275326,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.219181599648955,"eotMinutes":-5.300009746977087,"ayanamsa":-10.6197}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Saptamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 29, 469 BCE · Mathurā · Vidhyamitra","description":"March 29, 469 BCE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 06:14, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-03-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-03-29","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-03-29","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-03-29","x-default":"https://vidhyamitra.com/city/mathura/-0468-03-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T01:38:29.257Z","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":"2026-09-08T01:38:29.257Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T01:38:29.257Z","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"}}}