{"id":"vidhyamitra:city-day:mathura:-3181-09-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3181-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-09-24","date_display":"September 24, 3182 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":-3181,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559463.770833,"kali_year":-79,"ahargana":-29001.7292,"sun":{"sidereal_longitude":214.2087,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":176.486,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":322.2772,"elapsed_within_tithi_degrees":10.2772},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.486,"elapsed_within_degrees":3.1526},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.6947},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":-3181,"month":9,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559463.770833,"ahargana":-29001.7292,"kali_year":-79,"ayanamsa_lahiri":-48.512,"grahas":{"sun":{"sidereal_longitude":214.2087,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":176.486,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-4.4292},"mars":{"sidereal_longitude":252.5261,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":195.4717,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":124.526,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":259.8878,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":123.9168,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":276.6512,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.6512,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":-3181,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559463.770833,"kali_year":-79,"ahargana":-29001.7292,"sun":{"sidereal_longitude":214.2087,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":176.486,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":322.2772,"elapsed_within_tithi_degrees":10.2772},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.486,"elapsed_within_degrees":3.1526},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.6947},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.429,"elongation":37.723},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.429,"opposition_distance":142.277}},"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":"05:55","sunsetLocal":"18:26","solarNoonLocal":"12:11","dayLengthHours":12.518753132646296,"dayLengthDisplay":"12 Hours 31 Mins 08 Secs","nightLengthDisplay":"11 Hours 28 Mins 52 Secs","moonriseLocal":"02:57","moonsetLocal":"16:22","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:18","startHours":13.740045635017811,"endHours":15.3048897765986,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:55","end":"07:29","startHours":5.915824927113877,"endHours":7.480669068694664,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:37","startHours":9.045513210275452,"endHours":10.610357351856237,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.836867324731346,"endHours":9.254159095819556,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:46","startHours":6.437439640974139,"endHours":6.771273057844707,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:36","startHours":11.757909722348815,"endHours":12.592493264525237,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:05","startHours":4.246657842761038,"endHours":5.081241384937457,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:55","startHours":4.872595499393352,"endHours":5.915824927113877,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.261660348878074,"endHours":15.096243891054494,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.234578059760175,"endHours":18.634578059760173,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.434578059760174,"endHours":18.956192773620437,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.184578059760174,"endHours":19.934578059760174,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:36","startHours":23.757909722348817,"endHours":24.592493264525235,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:55","end":"07:29","startHours":5.915824927113877,"endHours":7.480669068694664,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:03","startHours":7.480669068694664,"endHours":9.045513210275452,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:37","startHours":9.045513210275452,"endHours":10.610357351856237,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:11","startHours":10.610357351856237,"endHours":12.175201493437026,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:44","startHours":12.175201493437026,"endHours":13.740045635017811,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:18","startHours":13.740045635017811,"endHours":15.3048897765986,"quality":"auspicious"},{"name":"Kāla","start":"15:18","end":"16:52","startHours":15.3048897765986,"endHours":16.869733918179385,"quality":"inauspicious"},{"name":"Śubha","start":"16:52","end":"18:26","startHours":16.869733918179385,"endHours":18.434578059760174,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:26","end":"19:52","startHours":18.434578059760174,"endHours":19.869733918179385,"quality":"auspicious"},{"name":"Kāla","start":"19:52","end":"21:18","startHours":19.869733918179385,"endHours":21.3048897765986,"quality":"inauspicious"},{"name":"Śubha","start":"21:18","end":"22:44","startHours":21.3048897765986,"endHours":22.740045635017815,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:11","startHours":22.740045635017815,"endHours":24.175201493437026,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:37","startHours":24.175201493437026,"endHours":25.610357351856237,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:03","startHours":25.610357351856237,"endHours":27.045513210275452,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:29","startHours":27.045513210275452,"endHours":28.480669068694667,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:55","startHours":28.480669068694667,"endHours":29.915824927113878,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.915824927113877,"endHours":6.915824927113877,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.915824927113877,"endHours":7.915824927113877,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.915824927113877,"endHours":8.915824927113878,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.915824927113878,"endHours":9.915824927113878,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.915824927113878,"endHours":10.915824927113878,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.915824927113878,"endHours":11.915824927113878,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.915824927113878,"endHours":12.915824927113878,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.915824927113878,"endHours":13.915824927113878,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.915824927113878,"endHours":14.915824927113878,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.915824927113878,"endHours":15.915824927113878,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.915824927113878,"endHours":16.915824927113878,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.915824927113878,"endHours":17.915824927113878,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.915824927113878,"endHours":18.915824927113878,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.915824927113878,"endHours":19.915824927113878,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.915824927113878,"endHours":20.915824927113878,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.915824927113878,"endHours":21.915824927113878,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.915824927113878,"endHours":22.915824927113878,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.915824927113878,"endHours":23.915824927113878,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.915824927113878,"endHours":24.915824927113878,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.915824927113878,"endHours":25.915824927113878,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.915824927113878,"endHours":26.915824927113878,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.915824927113878,"endHours":27.915824927113878,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.915824927113878,"endHours":28.915824927113878,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.915824927113878,"endHours":29.915824927113878,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":5.6390815331460615,"eotMinutes":8.793110393778392,"ayanamsa":-48.512}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvādaśī · Vikram -3124 undefined · Śaka -3259 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 September 24, 3182 BCE · Mathurā · Vidhyamitra","description":"September 24, 3182 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:55, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3181-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3181-09-24","sa":"https://sa.vidhyamitra.com/city/mathura/-3181-09-24","hi":"https://hi.vidhyamitra.com/city/mathura/-3181-09-24","x-default":"https://vidhyamitra.com/city/mathura/-3181-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T23:38:13.429Z","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":"2026-08-11T23:38:13.429Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T23:38:13.429Z","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"}}}