{"id":"vidhyamitra:city-day:mathura:-3130-09-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3130-09-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3130-09-22","date_display":"September 22, 3131 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":-3130,"month":9,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578089.770833,"kali_year":-28,"ahargana":-10375.7292,"sun":{"sidereal_longitude":211.9773,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":82.1201,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":230.1428,"elapsed_within_tithi_degrees":2.1428},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.1201,"elapsed_within_degrees":2.1201},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.0974},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3130,"month":9,"day":22,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578089.770833,"ahargana":-10375.7292,"kali_year":-28,"ayanamsa_lahiri":-47.7996,"grahas":{"sun":{"sidereal_longitude":211.9773,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":82.1201,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":4.2881},"mars":{"sidereal_longitude":284.3156,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":221.9082,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":213.355,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":246.6334,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":2.8503,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":9.7561,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.7561,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":-3130,"month":9,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578089.770833,"kali_year":-28,"ahargana":-10375.7292,"sun":{"sidereal_longitude":211.9773,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":82.1201,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":230.1428,"elapsed_within_tithi_degrees":2.1428},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.1201,"elapsed_within_degrees":2.1201},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.0974},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.288,"elongation":129.857},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.288,"opposition_distance":50.143}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":-0.38,"elongation":2.812}]},"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":"05:54","sunsetLocal":"18:28","solarNoonLocal":"12:11","dayLengthHours":12.560126821569819,"dayLengthDisplay":"12 Hours 33 Mins 36 Secs","nightLengthDisplay":"11 Hours 26 Mins 24 Secs","moonriseLocal":"21:02","moonsetLocal":"10:02","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:45","startHours":12.187158272681362,"endHours":13.757174125377588,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"09:03","startHours":7.477110714592679,"endHours":9.047126567288906,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:37","end":"12:11","startHours":10.617142419985134,"endHours":12.187158272681362,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.837791120262743,"endHours":9.256462014315069,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:46","startHours":6.430433479461861,"endHours":6.765370194703723,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.768487378629034,"endHours":12.60582916673369,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:04","startHours":4.232411285687142,"endHours":5.069753073791797,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:54","startHours":4.860417626765633,"endHours":5.907094861896452,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.280512742942998,"endHours":15.117854531047652,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.26722168346627,"endHours":18.66722168346627,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:59","startHours":18.46722168346627,"endHours":18.990560301031678,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.21722168346627,"endHours":19.96722168346627,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.768487378629036,"endHours":24.605829166733688,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:29","startHours":5.907094861896452,"endHours":7.477110714592679,"quality":"auspicious"},{"name":"Amṛta","start":"07:29","end":"09:03","startHours":7.477110714592679,"endHours":9.047126567288906,"quality":"auspicious"},{"name":"Kāla","start":"09:03","end":"10:37","startHours":9.047126567288906,"endHours":10.617142419985134,"quality":"inauspicious"},{"name":"Śubha","start":"10:37","end":"12:11","startHours":10.617142419985134,"endHours":12.187158272681362,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:45","startHours":12.187158272681362,"endHours":13.757174125377588,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:20","startHours":13.757174125377588,"endHours":15.327189978073816,"quality":"inauspicious"},{"name":"Chala","start":"15:20","end":"16:54","startHours":15.327189978073816,"endHours":16.89720583077004,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:28","startHours":16.89720583077004,"endHours":18.46722168346627,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:28","end":"19:54","startHours":18.46722168346627,"endHours":19.897205830770044,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:20","startHours":19.897205830770044,"endHours":21.327189978073815,"quality":"neutral"},{"name":"Labha","start":"21:20","end":"22:45","startHours":21.327189978073815,"endHours":22.75717412537759,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:11","startHours":22.75717412537759,"endHours":24.187158272681362,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:37","startHours":24.187158272681362,"endHours":25.617142419985136,"quality":"inauspicious"},{"name":"Śubha","start":"01:37","end":"03:03","startHours":25.617142419985136,"endHours":27.047126567288906,"quality":"auspicious"},{"name":"Roga","start":"03:03","end":"04:29","startHours":27.047126567288906,"endHours":28.47711071459268,"quality":"inauspicious"},{"name":"Udveg","start":"04:29","end":"05:54","startHours":28.47711071459268,"endHours":29.907094861896454,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.907094861896452,"endHours":6.907094861896452,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.907094861896452,"endHours":7.907094861896452,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.907094861896452,"endHours":8.907094861896452,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.907094861896452,"endHours":9.907094861896452,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.907094861896452,"endHours":10.907094861896452,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.907094861896452,"endHours":11.907094861896452,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.907094861896452,"endHours":12.907094861896452,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.907094861896452,"endHours":13.907094861896452,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.907094861896452,"endHours":14.907094861896452,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.907094861896452,"endHours":15.907094861896452,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.907094861896452,"endHours":16.907094861896454,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.907094861896454,"endHours":17.907094861896454,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.907094861896454,"endHours":18.907094861896454,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.907094861896454,"endHours":19.907094861896454,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.907094861896454,"endHours":20.907094861896454,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.907094861896454,"endHours":21.907094861896454,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.907094861896454,"endHours":22.907094861896454,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.907094861896454,"endHours":23.907094861896454,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.907094861896454,"endHours":24.907094861896454,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.907094861896454,"endHours":25.907094861896454,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.907094861896454,"endHours":26.907094861896454,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.907094861896454,"endHours":27.907094861896454,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.907094861896454,"endHours":28.907094861896454,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.907094861896454,"endHours":29.907094861896454,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","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":6.225605814832227,"eotMinutes":8.075703639118354,"ayanamsa":-47.7996}},"calendars":{"vikram_samvat":-3073,"saka_samvat":-3208,"bengali_samvat":-3723,"malayalam_era":-3954,"nanakshahi_year":-4599,"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 Pañcamī · Vikram -3073 undefined · Śaka -3208 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 22, 3131 BCE · Mathurā · Vidhyamitra","description":"September 22, 3131 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:54, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3130-09-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3130-09-22","sa":"https://sa.vidhyamitra.com/city/mathura/-3130-09-22","hi":"https://hi.vidhyamitra.com/city/mathura/-3130-09-22","x-default":"https://vidhyamitra.com/city/mathura/-3130-09-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T23:53:45.514Z","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":"2026-08-11T23:53:45.514Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T23:53:45.514Z","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"}}}