{"id":"vidhyamitra:city-day:mathura:-3123-09-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3123-09-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3123-09-05","date_display":"September 5, 3124 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":-3123,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580629.770833,"kali_year":-21,"ahargana":-7835.7292,"sun":{"sidereal_longitude":194.9918,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":69.7478,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.756,"elapsed_within_tithi_degrees":6.756},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.7478,"elapsed_within_degrees":3.0811},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.7396},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":-3123,"month":9,"day":5,"hour":6,"minute":30,"calendar":"julian"},"julian_day":580629.770833,"ahargana":-7835.7292,"kali_year":-21,"ayanamsa_lahiri":-47.7025,"grahas":{"sun":{"sidereal_longitude":194.9918,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":69.7478,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-1.1312},"mars":{"sidereal_longitude":200.0724,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":217.363,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":84.5052,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":150.6292,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":110.3468,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":235.1746,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":55.1746,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":-3123,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580629.770833,"kali_year":-21,"ahargana":-7835.7292,"sun":{"sidereal_longitude":194.9918,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":69.7478,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.756,"elapsed_within_tithi_degrees":6.756},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.7478,"elapsed_within_degrees":3.0811},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.7396},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.131,"elongation":125.244},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.131,"opposition_distance":54.756}},"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":"05:47","sunsetLocal":"18:48","solarNoonLocal":"12:17","dayLengthHours":13.006030777926787,"dayLengthDisplay":"13 Hours 00 Mins 22 Secs","nightLengthDisplay":"10 Hours 59 Mins 38 Secs","moonriseLocal":"21:36","moonsetLocal":"10:17","rahuKala":{"name":"Rāhu Kāla","start":"15:33","end":"17:10","startHours":15.54246995634765,"endHours":17.1682238035885,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:40","startHours":9.039454567384258,"endHours":10.665208414625106,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:17","end":"13:55","startHours":12.290962261865953,"endHours":13.916716109106803,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.822687387752143,"endHours":9.25622174701637,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.329864821982843,"endHours":6.676692309394224,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.857427902601728,"endHours":12.724496621130179,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.053809435845656,"endHours":4.920878154374108,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.704110974741996,"endHours":5.787946872902561,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.458634058187085,"endHours":15.325702776715538,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.59397765082935,"endHours":18.993977650829347,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:20","startHours":18.793977650829348,"endHours":19.33589559990963,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.543977650829348,"endHours":20.293977650829348,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.857427902601728,"endHours":24.72449662113018,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:25","startHours":5.787946872902561,"endHours":7.413700720143409,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:02","startHours":7.413700720143409,"endHours":9.039454567384258,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:40","startHours":9.039454567384258,"endHours":10.665208414625106,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:17","startHours":10.665208414625106,"endHours":12.290962261865953,"quality":"auspicious"},{"name":"Amṛta","start":"12:17","end":"13:55","startHours":12.290962261865953,"endHours":13.916716109106803,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:33","startHours":13.916716109106803,"endHours":15.54246995634765,"quality":"inauspicious"},{"name":"Śubha","start":"15:33","end":"17:10","startHours":15.54246995634765,"endHours":17.1682238035885,"quality":"auspicious"},{"name":"Roga","start":"17:10","end":"18:48","startHours":17.1682238035885,"endHours":18.793977650829348,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:48","end":"20:10","startHours":18.793977650829348,"endHours":20.1682238035885,"quality":"inauspicious"},{"name":"Śubha","start":"20:10","end":"21:33","startHours":20.1682238035885,"endHours":21.542469956347652,"quality":"auspicious"},{"name":"Roga","start":"21:33","end":"22:55","startHours":21.542469956347652,"endHours":22.9167161091068,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:17","startHours":22.9167161091068,"endHours":24.290962261865953,"quality":"inauspicious"},{"name":"Chala","start":"00:17","end":"01:40","startHours":24.290962261865953,"endHours":25.665208414625106,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"03:02","startHours":25.665208414625106,"endHours":27.039454567384258,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:25","startHours":27.039454567384258,"endHours":28.41370072014341,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:47","startHours":28.41370072014341,"endHours":29.78794687290256,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.787946872902561,"endHours":6.787946872902561,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.787946872902561,"endHours":7.787946872902561,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.787946872902561,"endHours":8.78794687290256,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.78794687290256,"endHours":9.78794687290256,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.78794687290256,"endHours":10.78794687290256,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.78794687290256,"endHours":11.78794687290256,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.78794687290256,"endHours":12.78794687290256,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.78794687290256,"endHours":13.78794687290256,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.78794687290256,"endHours":14.78794687290256,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.78794687290256,"endHours":15.78794687290256,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.78794687290256,"endHours":16.78794687290256,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.78794687290256,"endHours":17.78794687290256,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.78794687290256,"endHours":18.78794687290256,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.78794687290256,"endHours":19.78794687290256,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.78794687290256,"endHours":20.78794687290256,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.78794687290256,"endHours":21.78794687290256,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.78794687290256,"endHours":22.78794687290256,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.78794687290256,"endHours":23.78794687290256,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.78794687290256,"endHours":24.78794687290256,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.78794687290256,"endHours":25.78794687290256,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.78794687290256,"endHours":26.78794687290256,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.78794687290256,"endHours":27.78794687290256,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.78794687290256,"endHours":28.78794687290256,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.78794687290256,"endHours":29.78794687290256,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North","anandadiYoga":{"name":"Padma","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":12.411632563175955,"eotMinutes":1.8474642880427774,"ayanamsa":-47.7025}},"calendars":{"vikram_samvat":-3066,"saka_samvat":-3201,"bengali_samvat":-3716,"malayalam_era":-3947,"nanakshahi_year":-4592,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa 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 Kṛṣṇa Pañcamī · Vikram -3066 undefined · Śaka -3201 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 5, 3124 BCE · Mathurā · Vidhyamitra","description":"September 5, 3124 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:47, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3123-09-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3123-09-05","sa":"https://sa.vidhyamitra.com/city/mathura/-3123-09-05","hi":"https://hi.vidhyamitra.com/city/mathura/-3123-09-05","x-default":"https://vidhyamitra.com/city/mathura/-3123-09-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:13:56.657Z","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":"2026-08-10T14:13:56.657Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:13:56.657Z","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"}}}