{"id":"vidhyamitra:city-day:mathura:-3173-05-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3173-05-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-05-09","date_display":"May 9, 3174 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":-3173,"month":5,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562247.770833,"kali_year":-71,"ahargana":-26217.7292,"sun":{"sidereal_longitude":79.6279,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":141.9492,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.3214,"elapsed_within_tithi_degrees":2.3214},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.9492,"elapsed_within_degrees":8.6159},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.5771},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":-3173,"month":5,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562247.770833,"ahargana":-26217.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4055,"grahas":{"sun":{"sidereal_longitude":79.6279,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":141.9492,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":0.9966},"mars":{"sidereal_longitude":343.9667,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":61.4992,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":353.6668,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":94.4334,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":204.0454,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":129.1415,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.1415,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":-3173,"month":5,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562247.770833,"kali_year":-71,"ahargana":-26217.7292,"sun":{"sidereal_longitude":79.6279,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":141.9492,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.3214,"elapsed_within_tithi_degrees":2.3214},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.9492,"elapsed_within_degrees":8.6159},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.5771},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.997,"elongation":62.321},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.997,"opposition_distance":117.679}},"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":"18:45","solarNoonLocal":"12:16","dayLengthHours":12.968171365331898,"dayLengthDisplay":"12 Hours 58 Mins 05 Secs","nightLengthDisplay":"11 Hours 01 Mins 55 Secs","moonriseLocal":"09:30","moonsetLocal":"23:20","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:07","startHours":15.503271866927207,"endHours":17.124293287593694,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:01","end":"10:38","startHours":9.019186184261258,"endHours":10.640207604927745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:53","startHours":12.261229025594233,"endHours":13.88225044626072,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:14","startHours":8.80304999483906,"endHours":9.235322373683456,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.317483816483779,"endHours":6.663301719559296,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.828956646749836,"endHours":12.69350140443863,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.048053827550698,"endHours":4.912598585239491,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.696462395817292,"endHours":5.777143342928284,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:17","startHours":14.422590919816216,"endHours":15.28713567750501,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.545314708260182,"endHours":18.94531470826018,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:17","startHours":18.74531470826018,"endHours":19.285655181815677,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.49531470826018,"endHours":20.24531470826018,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.828956646749837,"endHours":24.693501404438628,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:24","startHours":5.777143342928284,"endHours":7.398164763594771,"quality":"inauspicious"},{"name":"Udveg","start":"07:24","end":"09:01","startHours":7.398164763594771,"endHours":9.019186184261258,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:38","startHours":9.019186184261258,"endHours":10.640207604927745,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:16","startHours":10.640207604927745,"endHours":12.261229025594233,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:53","startHours":12.261229025594233,"endHours":13.88225044626072,"quality":"auspicious"},{"name":"Kāla","start":"13:53","end":"15:30","startHours":13.88225044626072,"endHours":15.503271866927207,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:07","startHours":15.503271866927207,"endHours":17.124293287593694,"quality":"auspicious"},{"name":"Roga","start":"17:07","end":"18:45","startHours":17.124293287593694,"endHours":18.74531470826018,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:45","end":"20:07","startHours":18.74531470826018,"endHours":20.124293287593694,"quality":"inauspicious"},{"name":"Śubha","start":"20:07","end":"21:30","startHours":20.124293287593694,"endHours":21.503271866927207,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:53","startHours":21.503271866927207,"endHours":22.88225044626072,"quality":"inauspicious"},{"name":"Udveg","start":"22:53","end":"00:16","startHours":22.88225044626072,"endHours":24.261229025594233,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:38","startHours":24.261229025594233,"endHours":25.640207604927745,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:01","startHours":25.640207604927745,"endHours":27.019186184261258,"quality":"auspicious"},{"name":"Amṛta","start":"03:01","end":"04:24","startHours":27.019186184261258,"endHours":28.39816476359477,"quality":"auspicious"},{"name":"Kāla","start":"04:24","end":"05:47","startHours":28.39816476359477,"endHours":29.777143342928284,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.777143342928284,"endHours":6.777143342928284,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.777143342928284,"endHours":7.777143342928284,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.777143342928284,"endHours":8.777143342928284,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.777143342928284,"endHours":9.777143342928284,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.777143342928284,"endHours":10.777143342928284,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.777143342928284,"endHours":11.777143342928284,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.777143342928284,"endHours":12.777143342928284,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.777143342928284,"endHours":13.777143342928284,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.777143342928284,"endHours":14.777143342928284,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.777143342928284,"endHours":15.777143342928284,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.777143342928284,"endHours":16.777143342928284,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.777143342928284,"endHours":17.777143342928284,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.777143342928284,"endHours":18.777143342928284,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.777143342928284,"endHours":19.777143342928284,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.777143342928284,"endHours":20.777143342928284,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.777143342928284,"endHours":21.777143342928284,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.777143342928284,"endHours":22.777143342928284,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.777143342928284,"endHours":23.777143342928284,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.777143342928284,"endHours":24.777143342928284,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.777143342928284,"endHours":25.777143342928284,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.777143342928284,"endHours":26.777143342928284,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.777143342928284,"endHours":27.777143342928284,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.777143342928284,"endHours":28.777143342928284,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.777143342928284,"endHours":29.777143342928284,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.897948334513545,"eotMinutes":3.631458464346112,"ayanamsa":-48.4055}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Ṣaṣṭhī · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[],"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":"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 May 9, 3174 BCE · Mathurā · Vidhyamitra","description":"May 9, 3174 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:47, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3173-05-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3173-05-09","sa":"https://sa.vidhyamitra.com/city/mathura/-3173-05-09","hi":"https://hi.vidhyamitra.com/city/mathura/-3173-05-09","x-default":"https://vidhyamitra.com/city/mathura/-3173-05-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T19:10:27.952Z","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":"2026-09-11T19:10:27.952Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T19:10:27.952Z","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"}}}