{"id":"vidhyamitra:city-day:mathura:-0504-08-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0504-08-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-08-09","date_display":"August 9, 505 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":-504,"month":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537192.770833,"kali_year":2598,"ahargana":948727.2708,"sun":{"sidereal_longitude":145.9054,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":127.3514,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4459,"elapsed_within_tithi_degrees":5.4459},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.3514,"elapsed_within_degrees":7.3514},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.2568},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":-504,"month":8,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537192.770833,"ahargana":948727.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1175,"grahas":{"sun":{"sidereal_longitude":145.9054,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":127.3514,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":0.3537},"mars":{"sidereal_longitude":28.546,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":172.4753,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":0.6357,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":121.1624,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":47.5839,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":311.8636,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":131.8636,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"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":-504,"month":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537192.770833,"kali_year":2598,"ahargana":948727.2708,"sun":{"sidereal_longitude":145.9054,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":127.3514,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4459,"elapsed_within_tithi_degrees":5.4459},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.3514,"elapsed_within_degrees":7.3514},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.2568},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.354,"elongation":18.554},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.354,"opposition_distance":161.446}},"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":"05:45","sunsetLocal":"19:04","solarNoonLocal":"12:25","dayLengthHours":13.306655599144165,"dayLengthDisplay":"13 Hours 18 Mins 24 Secs","nightLengthDisplay":"10 Hours 41 Mins 36 Secs","moonriseLocal":"04:22","moonsetLocal":"17:59","rahuKala":{"name":"Rāhu Kāla","start":"07:25","end":"09:05","startHours":7.418622881489811,"endHours":9.08195483138283,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.745286781275851,"endHours":12.408618731168872,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:04","end":"15:44","startHours":14.071950681061892,"endHours":15.735282630954913,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.860177238063763,"endHours":9.3037324247019,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.309734914894464,"endHours":6.664579064204975,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.965063544530732,"endHours":12.852173917807011,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.981070185044235,"endHours":4.868180558320513,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.646402965001443,"endHours":5.75529093159679,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.626394664359566,"endHours":15.513505037635843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.861946530740955,"endHours":19.261946530740953,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:37","startHours":19.061946530740954,"endHours":19.616390514038628,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.811946530740954,"endHours":20.561946530740954,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.965063544530732,"endHours":24.85217391780701,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:25","startHours":5.75529093159679,"endHours":7.418622881489811,"quality":"auspicious"},{"name":"Kāla","start":"07:25","end":"09:05","startHours":7.418622881489811,"endHours":9.08195483138283,"quality":"inauspicious"},{"name":"Śubha","start":"09:05","end":"10:45","startHours":9.08195483138283,"endHours":10.745286781275851,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.745286781275851,"endHours":12.408618731168872,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:04","startHours":12.408618731168872,"endHours":14.071950681061892,"quality":"inauspicious"},{"name":"Chala","start":"14:04","end":"15:44","startHours":14.071950681061892,"endHours":15.735282630954913,"quality":"neutral"},{"name":"Labha","start":"15:44","end":"17:24","startHours":15.735282630954913,"endHours":17.398614580847934,"quality":"auspicious"},{"name":"Amṛta","start":"17:24","end":"19:04","startHours":17.398614580847934,"endHours":19.061946530740954,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:04","end":"20:24","startHours":19.061946530740954,"endHours":20.398614580847934,"quality":"neutral"},{"name":"Labha","start":"20:24","end":"21:44","startHours":20.398614580847934,"endHours":21.735282630954913,"quality":"auspicious"},{"name":"Amṛta","start":"21:44","end":"23:04","startHours":21.735282630954913,"endHours":23.071950681061892,"quality":"auspicious"},{"name":"Kāla","start":"23:04","end":"00:25","startHours":23.071950681061892,"endHours":24.408618731168872,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.408618731168872,"endHours":25.74528678127585,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:05","startHours":25.74528678127585,"endHours":27.08195483138283,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:25","startHours":27.08195483138283,"endHours":28.41862288148981,"quality":"inauspicious"},{"name":"Chala","start":"04:25","end":"05:45","startHours":28.41862288148981,"endHours":29.75529093159679,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.75529093159679,"endHours":6.75529093159679,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.75529093159679,"endHours":7.75529093159679,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.75529093159679,"endHours":8.75529093159679,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.75529093159679,"endHours":9.75529093159679,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.75529093159679,"endHours":10.75529093159679,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.75529093159679,"endHours":11.75529093159679,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.75529093159679,"endHours":12.75529093159679,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.75529093159679,"endHours":13.75529093159679,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.75529093159679,"endHours":14.75529093159679,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.75529093159679,"endHours":15.75529093159679,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.75529093159679,"endHours":16.75529093159679,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.75529093159679,"endHours":17.75529093159679,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.75529093159679,"endHours":18.75529093159679,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.75529093159679,"endHours":19.75529093159679,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.75529093159679,"endHours":20.75529093159679,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.75529093159679,"endHours":21.75529093159679,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.75529093159679,"endHours":22.75529093159679,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.75529093159679,"endHours":23.75529093159679,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.75529093159679,"endHours":24.75529093159679,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.75529093159679,"endHours":25.75529093159679,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.75529093159679,"endHours":26.75529093159679,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.75529093159679,"endHours":27.75529093159679,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.75529093159679,"endHours":28.75529093159679,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.75529093159679,"endHours":29.75529093159679,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.396239585949896,"eotMinutes":-5.211923870132258,"ayanamsa":-11.1175}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa 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 Kṛṣṇa Caturdaśī · Vikram -447 undefined · Śaka -582 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 August 9, 505 BCE · Mathurā · Vidhyamitra","description":"August 9, 505 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:45, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0504-08-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0504-08-09","sa":"https://sa.vidhyamitra.com/city/mathura/-0504-08-09","hi":"https://hi.vidhyamitra.com/city/mathura/-0504-08-09","x-default":"https://vidhyamitra.com/city/mathura/-0504-08-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T13:30:24.406Z","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":"2026-09-10T13:30:24.406Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T13:30:24.406Z","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"}}}