{"id":"vidhyamitra:city-day:mathura:-0528-08-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0528-08-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0528-08-12","date_display":"August 12, 529 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":-528,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528429.770833,"kali_year":2574,"ahargana":939964.2708,"sun":{"sidereal_longitude":149.0262,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":220.8597,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":71.8335,"elapsed_within_tithi_degrees":11.8335},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.8597,"elapsed_within_degrees":7.5264},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.886},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":-528,"month":8,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1528429.770833,"ahargana":939964.2708,"kali_year":2574,"ayanamsa_lahiri":-11.4527,"grahas":{"sun":{"sidereal_longitude":149.0262,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":220.8597,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":1.187},"mars":{"sidereal_longitude":114.2607,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":131.58,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":350.8554,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":123.2235,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.4944,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":56.1695,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":236.1695,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-528,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528429.770833,"kali_year":2574,"ahargana":939964.2708,"sun":{"sidereal_longitude":149.0262,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":220.8597,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":71.8335,"elapsed_within_tithi_degrees":11.8335},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.8597,"elapsed_within_degrees":7.5264},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.886},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.187,"elongation":71.834},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.187,"opposition_distance":108.166}},"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":"05:47","sunsetLocal":"19:01","solarNoonLocal":"12:24","dayLengthHours":13.242802697379977,"dayLengthDisplay":"13 Hours 14 Mins 34 Secs","nightLengthDisplay":"10 Hours 45 Mins 26 Secs","moonriseLocal":"11:32","moonsetLocal":"22:50","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:22","startHours":15.711440688275713,"endHours":17.36679102544821,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.090039339585726,"endHours":10.745389676758222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:03","startHours":12.400740013930719,"endHours":14.056090351103217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.86932596129606,"endHours":9.310752717875392,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.3311221109648965,"endHours":6.684263516228363,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.959313257351386,"endHours":12.842166770510051,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.013631638923401,"endHours":4.896485152082066,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.6757717737924,"endHours":5.779338665240731,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.607873796827382,"endHours":15.490727309986047,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.82214136262071,"endHours":19.222141362620707,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.022141362620708,"endHours":19.573924808344874,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.772141362620708,"endHours":20.522141362620708,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.959313257351386,"endHours":24.84216677051005,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:26","startHours":5.779338665240731,"endHours":7.434689002413228,"quality":"inauspicious"},{"name":"Udveg","start":"07:26","end":"09:05","startHours":7.434689002413228,"endHours":9.090039339585726,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.090039339585726,"endHours":10.745389676758222,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:24","startHours":10.745389676758222,"endHours":12.400740013930719,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:03","startHours":12.400740013930719,"endHours":14.056090351103217,"quality":"auspicious"},{"name":"Kāla","start":"14:03","end":"15:43","startHours":14.056090351103217,"endHours":15.711440688275713,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:22","startHours":15.711440688275713,"endHours":17.36679102544821,"quality":"auspicious"},{"name":"Roga","start":"17:22","end":"19:01","startHours":17.36679102544821,"endHours":19.022141362620708,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:01","end":"20:22","startHours":19.022141362620708,"endHours":20.36679102544821,"quality":"inauspicious"},{"name":"Śubha","start":"20:22","end":"21:43","startHours":20.36679102544821,"endHours":21.711440688275715,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:03","startHours":21.711440688275715,"endHours":23.056090351103215,"quality":"inauspicious"},{"name":"Udveg","start":"23:03","end":"00:24","startHours":23.056090351103215,"endHours":24.40074001393072,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:45","startHours":24.40074001393072,"endHours":25.745389676758222,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.745389676758222,"endHours":27.090039339585726,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:26","startHours":27.090039339585726,"endHours":28.43468900241323,"quality":"auspicious"},{"name":"Kāla","start":"04:26","end":"05:47","startHours":28.43468900241323,"endHours":29.77933866524073,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.779338665240731,"endHours":6.779338665240731,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.779338665240731,"endHours":7.779338665240731,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.779338665240731,"endHours":8.779338665240731,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.779338665240731,"endHours":9.779338665240731,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.779338665240731,"endHours":10.779338665240731,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.779338665240731,"endHours":11.779338665240731,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.779338665240731,"endHours":12.779338665240731,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.779338665240731,"endHours":13.779338665240731,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.779338665240731,"endHours":14.779338665240731,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.779338665240731,"endHours":15.779338665240731,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.779338665240731,"endHours":16.77933866524073,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.77933866524073,"endHours":17.77933866524073,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.77933866524073,"endHours":18.77933866524073,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.77933866524073,"endHours":19.77933866524073,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.77933866524073,"endHours":20.77933866524073,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.77933866524073,"endHours":21.77933866524073,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.77933866524073,"endHours":22.77933866524073,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.77933866524073,"endHours":23.77933866524073,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.77933866524073,"endHours":24.77933866524073,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.77933866524073,"endHours":25.77933866524073,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.77933866524073,"endHours":26.77933866524073,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.77933866524073,"endHours":27.77933866524073,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.77933866524073,"endHours":28.77933866524073,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.77933866524073,"endHours":29.77933866524073,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.564783202797907,"eotMinutes":-4.739200835843176,"ayanamsa":-11.4527}},"calendars":{"vikram_samvat":-471,"saka_samvat":-606,"bengali_samvat":-1121,"malayalam_era":-1352,"nanakshahi_year":-1997,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ṣaṣṭhī · Vikram -471 undefined · Śaka -606 undefined"},"festivals":[{"id":"subrahmanya-shashthi","name":"Subrahmaṇya Ṣaṣṭhī","name_sanskrit":"सुब्रह्मण्य षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya","significance":"Worship of Kārttikeya as Subrahmaṇya.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4}],"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 Subrahmaṇya Ṣaṣṭhī 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 August 12, 529 BCE · Mathurā · Vidhyamitra","description":"August 12, 529 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:47, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0528-08-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0528-08-12","sa":"https://sa.vidhyamitra.com/city/mathura/-0528-08-12","hi":"https://hi.vidhyamitra.com/city/mathura/-0528-08-12","x-default":"https://vidhyamitra.com/city/mathura/-0528-08-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:29:09.342Z","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":"2026-08-10T13:29:09.342Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:29:09.342Z","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"}}}