{"id":"vidhyamitra:city-day:mathura:-3171-09-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3171-09-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-09-09","date_display":"September 9, 3172 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":-3171,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563101.770833,"kali_year":-69,"ahargana":-25363.7292,"sun":{"sidereal_longitude":199.4411,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":233.3816,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.9406,"elapsed_within_tithi_degrees":9.9406},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":233.3816,"elapsed_within_degrees":6.715},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.8227},"karana":{"half_tithi_index":5,"name":"Gara"},"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":-3171,"month":9,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563101.770833,"ahargana":-25363.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3729,"grahas":{"sun":{"sidereal_longitude":199.4411,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":233.3816,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":2.2829},"mars":{"sidereal_longitude":70.1903,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":213.0763,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":65.4097,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":158.5283,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":230.3662,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":83.8924,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.8924,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563101.770833,"kali_year":-69,"ahargana":-25363.7292,"sun":{"sidereal_longitude":199.4411,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":233.3816,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.9406,"elapsed_within_tithi_degrees":9.9406},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":233.3816,"elapsed_within_degrees":6.715},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.8227},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.283,"elongation":33.941},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.283,"opposition_distance":146.059}},"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":"05:49","sunsetLocal":"18:43","solarNoonLocal":"12:16","dayLengthHours":12.909233045119661,"dayLengthDisplay":"12 Hours 54 Mins 33 Secs","nightLengthDisplay":"11 Hours 05 Mins 27 Secs","moonriseLocal":"08:33","moonsetLocal":"20:30","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:06","startHours":15.494371167559777,"endHours":17.108025298199735,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:39","startHours":9.039754644999947,"endHours":10.653408775639903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:53","startHours":12.267062906279861,"endHours":13.880717036919819,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.824600760914619,"endHours":9.254908529085274,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.350331093933351,"endHours":6.694577308469875,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.836755138109206,"endHours":12.697370674450516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:57","startHours":4.09121531103741,"endHours":4.95183084737872,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.736676963293393,"endHours":5.812446383720031,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:17","startHours":14.418601747133138,"endHours":15.279217283474448,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.521679428839693,"endHours":18.921679428839692,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:16","startHours":18.721679428839693,"endHours":19.259564139053012,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.471679428839693,"endHours":20.221679428839693,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.836755138109204,"endHours":24.697370674450518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:49","end":"07:26","startHours":5.812446383720031,"endHours":7.426100514359989,"quality":"inauspicious"},{"name":"Udveg","start":"07:26","end":"09:02","startHours":7.426100514359989,"endHours":9.039754644999947,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:39","startHours":9.039754644999947,"endHours":10.653408775639903,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:16","startHours":10.653408775639903,"endHours":12.267062906279861,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:53","startHours":12.267062906279861,"endHours":13.880717036919819,"quality":"auspicious"},{"name":"Kāla","start":"13:53","end":"15:30","startHours":13.880717036919819,"endHours":15.494371167559777,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:06","startHours":15.494371167559777,"endHours":17.108025298199735,"quality":"auspicious"},{"name":"Roga","start":"17:06","end":"18:43","startHours":17.108025298199735,"endHours":18.721679428839693,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:43","end":"20:06","startHours":18.721679428839693,"endHours":20.108025298199735,"quality":"inauspicious"},{"name":"Śubha","start":"20:06","end":"21:30","startHours":20.108025298199735,"endHours":21.494371167559777,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:53","startHours":21.494371167559777,"endHours":22.88071703691982,"quality":"inauspicious"},{"name":"Udveg","start":"22:53","end":"00:16","startHours":22.88071703691982,"endHours":24.26706290627986,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:39","startHours":24.26706290627986,"endHours":25.653408775639903,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:02","startHours":25.653408775639903,"endHours":27.039754644999945,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:26","startHours":27.039754644999945,"endHours":28.426100514359987,"quality":"auspicious"},{"name":"Kāla","start":"04:26","end":"05:49","startHours":28.426100514359987,"endHours":29.81244638372003,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.812446383720031,"endHours":6.812446383720031,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.812446383720031,"endHours":7.812446383720031,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.812446383720031,"endHours":8.812446383720031,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.812446383720031,"endHours":9.812446383720031,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.812446383720031,"endHours":10.812446383720031,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.812446383720031,"endHours":11.812446383720031,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.812446383720031,"endHours":12.812446383720031,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.812446383720031,"endHours":13.812446383720031,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.812446383720031,"endHours":14.812446383720031,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.812446383720031,"endHours":15.812446383720031,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.812446383720031,"endHours":16.81244638372003,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.81244638372003,"endHours":17.81244638372003,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.81244638372003,"endHours":18.81244638372003,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.81244638372003,"endHours":19.81244638372003,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.81244638372003,"endHours":20.81244638372003,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.81244638372003,"endHours":21.81244638372003,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.81244638372003,"endHours":22.81244638372003,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.81244638372003,"endHours":23.81244638372003,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.81244638372003,"endHours":24.81244638372003,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.81244638372003,"endHours":25.81244638372003,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.81244638372003,"endHours":26.81244638372003,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.81244638372003,"endHours":27.81244638372003,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.81244638372003,"endHours":28.81244638372003,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.81244638372003,"endHours":29.81244638372003,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.093481166500426,"eotMinutes":3.2814256232083188,"ayanamsa":-48.3729}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Tṛtīyā · Vikram -3114 undefined · Śaka -3249 undefined"},"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 September 9, 3172 BCE · Mathurā · Vidhyamitra","description":"September 9, 3172 BCE for Mathurā: Śukla Tṛtīyā, sūryodaya 05:49, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3171-09-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3171-09-09","sa":"https://sa.vidhyamitra.com/city/mathura/-3171-09-09","hi":"https://hi.vidhyamitra.com/city/mathura/-3171-09-09","x-default":"https://vidhyamitra.com/city/mathura/-3171-09-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T14:33:17.173Z","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":"2026-08-13T14:33:17.173Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T14:33:17.173Z","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"}}}