{"id":"vidhyamitra:city-day:mathura:-0468-07-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-07-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-07-12","date_display":"July 12, 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":7,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550313.770833,"kali_year":2634,"ahargana":961848.2708,"sun":{"sidereal_longitude":118.6345,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":215.3417,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.7072,"elapsed_within_tithi_degrees":0.7072},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.3417,"elapsed_within_degrees":2.0084},"yoga":{"number":26,"name":"Indra","sum_longitude":333.9762},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":7,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550313.770833,"ahargana":961848.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6157,"grahas":{"sun":{"sidereal_longitude":118.6345,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":215.3417,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-3.8437},"mars":{"sidereal_longitude":67.0883,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":114.7841,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":14.8208,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":161.141,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":130.0541,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":336.6499,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":156.6499,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara 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":-468,"month":7,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550313.770833,"kali_year":2634,"ahargana":961848.2708,"sun":{"sidereal_longitude":118.6345,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":215.3417,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.7072,"elapsed_within_tithi_degrees":0.7072},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.3417,"elapsed_within_degrees":2.0084},"yoga":{"number":26,"name":"Indra","sum_longitude":333.9762},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.844,"elongation":96.707},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.844,"opposition_distance":83.293}},"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":"05:31","sunsetLocal":"19:18","solarNoonLocal":"12:25","dayLengthHours":13.77551094593769,"dayLengthDisplay":"13 Hours 46 Mins 32 Secs","nightLengthDisplay":"10 Hours 13 Mins 28 Secs","moonriseLocal":"13:09","moonsetLocal":"00:34","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.131006700359798,"endHours":15.85294556860201,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:31","end":"07:15","startHours":5.521312359148742,"endHours":7.243251227390953,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:58","end":"10:41","startHours":8.965190095633165,"endHours":10.687128963875375,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:12","startHours":8.735598246534202,"endHours":9.194781944732126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.095291981896145,"endHours":6.462638940454484,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.949884133919662,"endHours":12.86825153031551,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.68457756635705,"endHours":4.602944962752896,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:31","startHours":4.373353113653934,"endHours":5.521312359148742,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.704986323107203,"endHours":15.623353719503049,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.09682330508643,"endHours":19.49682330508643,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:52","startHours":19.29682330508643,"endHours":19.870802927833836,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.04682330508643,"endHours":20.79682330508643,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.949884133919664,"endHours":24.868251530315508,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:31","end":"07:15","startHours":5.521312359148742,"endHours":7.243251227390953,"quality":"auspicious"},{"name":"Roga","start":"07:15","end":"08:58","startHours":7.243251227390953,"endHours":8.965190095633165,"quality":"inauspicious"},{"name":"Udveg","start":"08:58","end":"10:41","startHours":8.965190095633165,"endHours":10.687128963875375,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:25","startHours":10.687128963875375,"endHours":12.409067832117586,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.409067832117586,"endHours":14.131006700359798,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.131006700359798,"endHours":15.85294556860201,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:34","startHours":15.85294556860201,"endHours":17.57488443684422,"quality":"inauspicious"},{"name":"Śubha","start":"17:34","end":"19:18","startHours":17.57488443684422,"endHours":19.29682330508643,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:18","end":"20:34","startHours":19.29682330508643,"endHours":20.57488443684422,"quality":"auspicious"},{"name":"Kāla","start":"20:34","end":"21:51","startHours":20.57488443684422,"endHours":21.85294556860201,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.85294556860201,"endHours":23.131006700359798,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.131006700359798,"endHours":24.409067832117586,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:41","startHours":24.409067832117586,"endHours":25.687128963875374,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"02:58","startHours":25.687128963875374,"endHours":26.96519009563316,"quality":"neutral"},{"name":"Labha","start":"02:58","end":"04:15","startHours":26.96519009563316,"endHours":28.243251227390953,"quality":"auspicious"},{"name":"Amṛta","start":"04:15","end":"05:31","startHours":28.243251227390953,"endHours":29.52131235914874,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.521312359148742,"endHours":6.521312359148742,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.521312359148742,"endHours":7.521312359148742,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.521312359148742,"endHours":8.521312359148741,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.521312359148741,"endHours":9.521312359148741,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.521312359148741,"endHours":10.521312359148741,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.521312359148741,"endHours":11.521312359148741,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.521312359148741,"endHours":12.521312359148741,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.521312359148741,"endHours":13.521312359148741,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.521312359148741,"endHours":14.521312359148741,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.521312359148741,"endHours":15.521312359148741,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.521312359148741,"endHours":16.52131235914874,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.52131235914874,"endHours":17.52131235914874,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.52131235914874,"endHours":18.52131235914874,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.52131235914874,"endHours":19.52131235914874,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.52131235914874,"endHours":20.52131235914874,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.52131235914874,"endHours":21.52131235914874,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.52131235914874,"endHours":22.52131235914874,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.52131235914874,"endHours":23.52131235914874,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.52131235914874,"endHours":24.52131235914874,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.52131235914874,"endHours":25.52131235914874,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.52131235914874,"endHours":26.52131235914874,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.52131235914874,"endHours":27.52131235914874,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.52131235914874,"endHours":28.52131235914874,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.52131235914874,"endHours":29.52131235914874,"planetary_lord":"Moon"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.22382168243351,"eotMinutes":-5.238869927055064,"ayanamsa":-10.6157}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Navamī · 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 July 12, 469 BCE · Mathurā · Vidhyamitra","description":"July 12, 469 BCE for Mathurā: Śukla Navamī, sūryodaya 05:31, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-07-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-07-12","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-07-12","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-07-12","x-default":"https://vidhyamitra.com/city/mathura/-0468-07-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T01:05:20.583Z","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":"2026-09-08T01:05:20.583Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T01:05:20.583Z","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"}}}