{"id":"vidhyamitra:city-day:mathura:-3130-09-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3130-09-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3130-09-26","date_display":"September 26, 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":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578093.770833,"kali_year":-28,"ahargana":-10371.7292,"sun":{"sidereal_longitude":216.0427,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":134.7413,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.6986,"elapsed_within_tithi_degrees":2.6986},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.7413,"elapsed_within_degrees":1.408},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.784},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578093.770833,"ahargana":-10371.7292,"kali_year":-28,"ayanamsa_lahiri":-47.7995,"grahas":{"sun":{"sidereal_longitude":216.0427,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":134.7413,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":3.676},"mars":{"sidereal_longitude":287.1701,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":218.8747,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":214.2629,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":251.543,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":2.5946,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":9.5441,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.5441,"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":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578093.770833,"kali_year":-28,"ahargana":-10371.7292,"sun":{"sidereal_longitude":216.0427,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":134.7413,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.6986,"elapsed_within_tithi_degrees":2.6986},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.7413,"elapsed_within_degrees":1.408},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.784},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.676,"elongation":81.301},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.676,"opposition_distance":98.699}},"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":"05:56","sunsetLocal":"18:23","solarNoonLocal":"12:10","dayLengthHours":12.449119838195394,"dayLengthDisplay":"12 Hours 26 Mins 57 Secs","nightLengthDisplay":"11 Hours 33 Mins 03 Secs","moonriseLocal":"23:50","moonsetLocal":"13:40","rahuKala":{"name":"Rāhu Kāla","start":"16:50","end":"18:23","startHours":16.831908627903946,"endHours":18.38804860767837,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:10","end":"13:43","startHours":12.163488688580674,"endHours":13.719628668355098,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:17","end":"16:50","startHours":15.275768648129521,"endHours":16.831908627903946,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.843723398395236,"endHours":9.258694059668414,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:47","startHours":6.457642096074451,"endHours":6.789618625092995,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:35","startHours":11.748518027307494,"endHours":12.578459349853855,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:07","startHours":4.279046124390257,"endHours":5.108987446936617,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:56","startHours":4.901502116300027,"endHours":5.938928769482977,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:04","startHours":14.238341994946573,"endHours":15.068283317492932,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.188048607678372,"endHours":18.58804860767837,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:54","startHours":18.38804860767837,"endHours":18.906761934269845,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.13804860767837,"endHours":19.88804860767837,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:35","startHours":23.748518027307494,"endHours":24.578459349853855,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:56","end":"07:30","startHours":5.938928769482977,"endHours":7.495068749257401,"quality":"inauspicious"},{"name":"Chala","start":"07:30","end":"09:03","startHours":7.495068749257401,"endHours":9.051208729031824,"quality":"neutral"},{"name":"Labha","start":"09:03","end":"10:36","startHours":9.051208729031824,"endHours":10.60734870880625,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:10","startHours":10.60734870880625,"endHours":12.163488688580674,"quality":"auspicious"},{"name":"Kāla","start":"12:10","end":"13:43","startHours":12.163488688580674,"endHours":13.719628668355098,"quality":"inauspicious"},{"name":"Śubha","start":"13:43","end":"15:17","startHours":13.719628668355098,"endHours":15.275768648129521,"quality":"auspicious"},{"name":"Roga","start":"15:17","end":"16:50","startHours":15.275768648129521,"endHours":16.831908627903946,"quality":"inauspicious"},{"name":"Udveg","start":"16:50","end":"18:23","startHours":16.831908627903946,"endHours":18.38804860767837,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:23","end":"19:50","startHours":18.38804860767837,"endHours":19.831908627903946,"quality":"auspicious"},{"name":"Roga","start":"19:50","end":"21:17","startHours":19.831908627903946,"endHours":21.27576864812952,"quality":"inauspicious"},{"name":"Udveg","start":"21:17","end":"22:43","startHours":21.27576864812952,"endHours":22.7196286683551,"quality":"inauspicious"},{"name":"Chala","start":"22:43","end":"00:10","startHours":22.7196286683551,"endHours":24.163488688580674,"quality":"neutral"},{"name":"Labha","start":"00:10","end":"01:36","startHours":24.163488688580674,"endHours":25.60734870880625,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:03","startHours":25.60734870880625,"endHours":27.051208729031828,"quality":"auspicious"},{"name":"Kāla","start":"03:03","end":"04:30","startHours":27.051208729031828,"endHours":28.495068749257403,"quality":"inauspicious"},{"name":"Śubha","start":"04:30","end":"05:56","startHours":28.495068749257403,"endHours":29.938928769482978,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.938928769482977,"endHours":6.938928769482977,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.938928769482977,"endHours":7.938928769482977,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.938928769482977,"endHours":8.938928769482978,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.938928769482978,"endHours":9.938928769482978,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.938928769482978,"endHours":10.938928769482978,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.938928769482978,"endHours":11.938928769482978,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.938928769482978,"endHours":12.938928769482978,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.938928769482978,"endHours":13.938928769482978,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.938928769482978,"endHours":14.938928769482978,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.938928769482978,"endHours":15.938928769482978,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.938928769482978,"endHours":16.938928769482978,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.938928769482978,"endHours":17.938928769482978,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.938928769482978,"endHours":18.938928769482978,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.938928769482978,"endHours":19.938928769482978,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.938928769482978,"endHours":20.938928769482978,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.938928769482978,"endHours":21.938928769482978,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.938928769482978,"endHours":22.938928769482978,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.938928769482978,"endHours":23.938928769482978,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.938928769482978,"endHours":24.938928769482978,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.938928769482978,"endHours":25.938928769482978,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.938928769482978,"endHours":26.938928769482978,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.938928769482978,"endHours":27.938928769482978,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.938928769482978,"endHours":28.938928769482978,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.938928769482978,"endHours":29.938928769482978,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","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":4.648413511651654,"eotMinutes":9.49587868515961,"ayanamsa":-47.7995}},"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 Navamī · Vikram -3073 undefined · Śaka -3208 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 26, 3131 BCE · Mathurā · Vidhyamitra","description":"September 26, 3131 BCE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:56, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3130-09-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3130-09-26","sa":"https://sa.vidhyamitra.com/city/mathura/-3130-09-26","hi":"https://hi.vidhyamitra.com/city/mathura/-3130-09-26","x-default":"https://vidhyamitra.com/city/mathura/-3130-09-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T06:41:56.074Z","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":"2026-08-11T06:41:56.074Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T06:41:56.074Z","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"}}}