{"id":"vidhyamitra:city-day:mathura:-3149-09-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3149-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3149-09-24","date_display":"September 24, 3150 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":-3149,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571151.770833,"kali_year":-47,"ahargana":-17313.7292,"sun":{"sidereal_longitude":213.9239,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.3093,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.3854,"elapsed_within_tithi_degrees":11.3854},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.3093,"elapsed_within_degrees":11.976},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.2333},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":-3149,"month":9,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":571151.770833,"ahargana":-17313.7292,"kali_year":-47,"ayanamsa_lahiri":-48.065,"grahas":{"sun":{"sidereal_longitude":213.9239,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":105.3093,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":4.4971},"mars":{"sidereal_longitude":255.8477,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":201.1476,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":355.9196,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":260.6752,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":155.6528,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":17.3647,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":197.3647,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":-3149,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571151.770833,"kali_year":-47,"ahargana":-17313.7292,"sun":{"sidereal_longitude":213.9239,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":105.3093,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.3854,"elapsed_within_tithi_degrees":11.3854},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.3093,"elapsed_within_degrees":11.976},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.2333},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.497,"elongation":108.615},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.497,"opposition_distance":71.385}},"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":12.514327500194796,"dayLengthDisplay":"12 Hours 30 Mins 52 Secs","nightLengthDisplay":"11 Hours 29 Mins 08 Secs","moonriseLocal":"22:11","moonsetLocal":"11:41","rahuKala":{"name":"Rāhu Kāla","start":"15:18","end":"16:52","startHours":15.303783368485725,"endHours":16.868074306010072,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:03","end":"10:37","startHours":9.046619618388327,"endHours":10.610910555912675,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:44","startHours":12.175201493437026,"endHours":13.739492430961374,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.83804749338508,"endHours":9.255191743391572,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:46","startHours":6.439468055847744,"endHours":6.773183455852939,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:36","startHours":11.758057243430533,"endHours":12.592345743443518,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:05","startHours":4.249460743313654,"endHours":5.083749243326641,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:55","startHours":4.8751771183233945,"endHours":5.918037743339627,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.26092274346949,"endHours":15.095211243482476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.232365243534424,"endHours":18.632365243534423,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.432365243534424,"endHours":18.95379555604254,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.182365243534424,"endHours":19.932365243534424,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:36","startHours":23.75805724343053,"endHours":24.59234574344352,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:55","end":"07:29","startHours":5.918037743339627,"endHours":7.482328680863977,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:03","startHours":7.482328680863977,"endHours":9.046619618388327,"quality":"inauspicious"},{"name":"Chala","start":"09:03","end":"10:37","startHours":9.046619618388327,"endHours":10.610910555912675,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:11","startHours":10.610910555912675,"endHours":12.175201493437026,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:44","startHours":12.175201493437026,"endHours":13.739492430961374,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:18","startHours":13.739492430961374,"endHours":15.303783368485725,"quality":"inauspicious"},{"name":"Śubha","start":"15:18","end":"16:52","startHours":15.303783368485725,"endHours":16.868074306010072,"quality":"auspicious"},{"name":"Roga","start":"16:52","end":"18:26","startHours":16.868074306010072,"endHours":18.432365243534424,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:26","end":"19:52","startHours":18.432365243534424,"endHours":19.868074306010072,"quality":"inauspicious"},{"name":"Śubha","start":"19:52","end":"21:18","startHours":19.868074306010072,"endHours":21.303783368485725,"quality":"auspicious"},{"name":"Roga","start":"21:18","end":"22:44","startHours":21.303783368485725,"endHours":22.739492430961377,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:11","startHours":22.739492430961377,"endHours":24.175201493437026,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:37","startHours":24.175201493437026,"endHours":25.610910555912675,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"03:03","startHours":25.610910555912675,"endHours":27.046619618388327,"quality":"auspicious"},{"name":"Amṛta","start":"03:03","end":"04:29","startHours":27.046619618388327,"endHours":28.48232868086398,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:55","startHours":28.48232868086398,"endHours":29.918037743339628,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.918037743339627,"endHours":6.918037743339627,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.918037743339627,"endHours":7.918037743339627,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.918037743339627,"endHours":8.918037743339628,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.918037743339628,"endHours":9.918037743339628,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.918037743339628,"endHours":10.918037743339628,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.918037743339628,"endHours":11.918037743339628,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.918037743339628,"endHours":12.918037743339628,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.918037743339628,"endHours":13.918037743339628,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.918037743339628,"endHours":14.918037743339628,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.918037743339628,"endHours":15.918037743339628,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.918037743339628,"endHours":16.918037743339628,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.918037743339628,"endHours":17.918037743339628,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.918037743339628,"endHours":18.918037743339628,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.918037743339628,"endHours":19.918037743339628,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.918037743339628,"endHours":20.918037743339628,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.918037743339628,"endHours":21.918037743339628,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.918037743339628,"endHours":22.918037743339628,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.918037743339628,"endHours":23.918037743339628,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.918037743339628,"endHours":24.918037743339628,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.918037743339628,"endHours":25.918037743339628,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.918037743339628,"endHours":26.918037743339628,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.918037743339628,"endHours":27.918037743339628,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.918037743339628,"endHours":28.918037743339628,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.918037743339628,"endHours":29.918037743339628,"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","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":5.5762459200075005,"eotMinutes":8.793110393778392,"ayanamsa":-48.065}},"calendars":{"vikram_samvat":-3092,"saka_samvat":-3227,"bengali_samvat":-3742,"malayalam_era":-3973,"nanakshahi_year":-4618,"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 Ṣaṣṭhī · Vikram -3092 undefined · Śaka -3227 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 24, 3150 BCE · Mathurā · Vidhyamitra","description":"September 24, 3150 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:55, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3149-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3149-09-24","sa":"https://sa.vidhyamitra.com/city/mathura/-3149-09-24","hi":"https://hi.vidhyamitra.com/city/mathura/-3149-09-24","x-default":"https://vidhyamitra.com/city/mathura/-3149-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T06:41:23.318Z","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":"2026-08-11T06:41:23.318Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T06:41:23.318Z","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"}}}