{"id":"vidhyamitra:city-day:mathura:-3121-04-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3121-04-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3121-04-12","date_display":"April 12, 3122 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":-3121,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581213.770833,"kali_year":-19,"ahargana":-7251.7292,"sun":{"sidereal_longitude":53.6171,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":212.0162,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.3991,"elapsed_within_tithi_degrees":2.3991},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.0162,"elapsed_within_degrees":12.0162},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.6333},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3121,"month":4,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":581213.770833,"ahargana":-7251.7292,"kali_year":-19,"ayanamsa_lahiri":-47.6802,"grahas":{"sun":{"sidereal_longitude":53.6171,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":212.0162,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":0.6089},"mars":{"sidereal_longitude":120.8041,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":69.6621,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":111.5483,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":10.8813,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":119.4013,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":204.2315,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":24.2315,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-3121,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581213.770833,"kali_year":-19,"ahargana":-7251.7292,"sun":{"sidereal_longitude":53.6171,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":212.0162,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.3991,"elapsed_within_tithi_degrees":2.3991},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.0162,"elapsed_within_degrees":12.0162},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.6333},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.609,"elongation":158.399},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.609,"opposition_distance":21.601}},"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":"06:12","sunsetLocal":"18:29","solarNoonLocal":"12:20","dayLengthHours":12.289064196265457,"dayLengthDisplay":"12 Hours 17 Mins 21 Secs","nightLengthDisplay":"11 Hours 42 Mins 39 Secs","moonriseLocal":"16:38","moonsetLocal":"05:09","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"12:20","startHours":10.803011994792506,"endHours":12.339145019325688,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:25","end":"16:57","startHours":15.411411068392052,"endHours":16.947544092925234,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:44","end":"09:16","startHours":7.730745945726141,"endHours":9.266878970259324,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:28","startHours":9.062061233654898,"endHours":9.471696706863748,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:02","startHours":6.706657262704019,"endHours":7.034365641271098,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:45","startHours":11.92950954611684,"endHours":12.748780492534536,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:23","startHours":4.5560710283575645,"endHours":5.375341974775261,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:12","startHours":5.170524238170837,"endHours":6.194612921192959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.38732238536993,"endHours":15.206593331787628,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.283677117458417,"endHours":18.683677117458416,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:00","startHours":18.483677117458416,"endHours":18.995721458969477,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.233677117458416,"endHours":19.983677117458416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:45","startHours":23.92950954611684,"endHours":24.748780492534536,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:12","end":"07:44","startHours":6.194612921192959,"endHours":7.730745945726141,"quality":"neutral"},{"name":"Labha","start":"07:44","end":"09:16","startHours":7.730745945726141,"endHours":9.266878970259324,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:48","startHours":9.266878970259324,"endHours":10.803011994792506,"quality":"auspicious"},{"name":"Kāla","start":"10:48","end":"12:20","startHours":10.803011994792506,"endHours":12.339145019325688,"quality":"inauspicious"},{"name":"Śubha","start":"12:20","end":"13:53","startHours":12.339145019325688,"endHours":13.87527804385887,"quality":"auspicious"},{"name":"Roga","start":"13:53","end":"15:25","startHours":13.87527804385887,"endHours":15.411411068392052,"quality":"inauspicious"},{"name":"Udveg","start":"15:25","end":"16:57","startHours":15.411411068392052,"endHours":16.947544092925234,"quality":"inauspicious"},{"name":"Chala","start":"16:57","end":"18:29","startHours":16.947544092925234,"endHours":18.483677117458416,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:29","end":"19:57","startHours":18.483677117458416,"endHours":19.947544092925234,"quality":"inauspicious"},{"name":"Udveg","start":"19:57","end":"21:25","startHours":19.947544092925234,"endHours":21.411411068392052,"quality":"inauspicious"},{"name":"Chala","start":"21:25","end":"22:53","startHours":21.411411068392052,"endHours":22.87527804385887,"quality":"neutral"},{"name":"Labha","start":"22:53","end":"00:20","startHours":22.87527804385887,"endHours":24.339145019325688,"quality":"auspicious"},{"name":"Amṛta","start":"00:20","end":"01:48","startHours":24.339145019325688,"endHours":25.803011994792506,"quality":"auspicious"},{"name":"Kāla","start":"01:48","end":"03:16","startHours":25.803011994792506,"endHours":27.266878970259324,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:44","startHours":27.266878970259324,"endHours":28.73074594572614,"quality":"auspicious"},{"name":"Roga","start":"04:44","end":"06:12","startHours":28.73074594572614,"endHours":30.19461292119296,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.194612921192959,"endHours":7.194612921192959,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.194612921192959,"endHours":8.19461292119296,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.19461292119296,"endHours":9.19461292119296,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.19461292119296,"endHours":10.19461292119296,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.19461292119296,"endHours":11.19461292119296,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.19461292119296,"endHours":12.19461292119296,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.19461292119296,"endHours":13.19461292119296,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.19461292119296,"endHours":14.19461292119296,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.19461292119296,"endHours":15.19461292119296,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.19461292119296,"endHours":16.19461292119296,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.19461292119296,"endHours":17.19461292119296,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.19461292119296,"endHours":18.19461292119296,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.19461292119296,"endHours":19.19461292119296,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.19461292119296,"endHours":20.19461292119296,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.19461292119296,"endHours":21.19461292119296,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.19461292119296,"endHours":22.19461292119296,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.19461292119296,"endHours":23.19461292119296,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.19461292119296,"endHours":24.19461292119296,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.19461292119296,"endHours":25.19461292119296,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.19461292119296,"endHours":26.19461292119296,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.19461292119296,"endHours":27.19461292119296,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.19461292119296,"endHours":28.19461292119296,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.19461292119296,"endHours":29.19461292119296,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.19461292119296,"endHours":30.19461292119296,"planetary_lord":"Mars"}],"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","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.357740015729584,"eotMinutes":-1.043501159541278,"ayanamsa":-47.6802}},"calendars":{"vikram_samvat":-3064,"saka_samvat":-3199,"bengali_samvat":-3714,"malayalam_era":-3945,"nanakshahi_year":-4590,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturdaśī · Vikram -3064 undefined · Śaka -3199 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 April 12, 3122 BCE · Mathurā · Vidhyamitra","description":"April 12, 3122 BCE for Mathurā: Śukla Caturdaśī, sūryodaya 06:12, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3121-04-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3121-04-12","sa":"https://sa.vidhyamitra.com/city/mathura/-3121-04-12","hi":"https://hi.vidhyamitra.com/city/mathura/-3121-04-12","x-default":"https://vidhyamitra.com/city/mathura/-3121-04-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T20:56:13.570Z","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":"2026-08-11T20:56:13.570Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T20:56:13.570Z","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"}}}