{"id":"vidhyamitra:city-day:mathura:-3141-04-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3141-04-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3141-04-11","date_display":"April 11, 3142 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":-3141,"month":4,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":573907.770833,"kali_year":-39,"ahargana":-14557.7292,"sun":{"sidereal_longitude":52.8337,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":59.0836,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.2499,"elapsed_within_tithi_degrees":6.2499},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.0836,"elapsed_within_degrees":5.7503},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.9174},"karana":{"half_tithi_index":1,"name":"Bava"},"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":-3141,"month":4,"day":11,"hour":6,"minute":30,"calendar":"julian"},"julian_day":573907.770833,"ahargana":-14557.7292,"kali_year":-39,"ayanamsa_lahiri":-47.9596,"grahas":{"sun":{"sidereal_longitude":52.8337,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":59.0836,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false,"latitude":-0.6058},"mars":{"sidereal_longitude":331.4161,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":73.7327,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":223.6644,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":62.5197,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":234.5876,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":231.3385,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":51.3385,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":-3141,"month":4,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":573907.770833,"kali_year":-39,"ahargana":-14557.7292,"sun":{"sidereal_longitude":52.8337,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":59.0836,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.2499,"elapsed_within_tithi_degrees":6.2499},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.0836,"elapsed_within_degrees":5.7503},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.9174},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.606,"elongation":6.25},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.606,"opposition_distance":173.75}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":-1.22,"opposition_distance":1.162}]},"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":"06:13","sunsetLocal":"18:28","solarNoonLocal":"12:21","dayLengthHours":12.259749450260193,"dayLengthDisplay":"12 Hours 15 Mins 35 Secs","nightLengthDisplay":"11 Hours 44 Mins 25 Secs","moonriseLocal":"06:34","moonsetLocal":"18:57","rahuKala":{"name":"Rāhu Kāla","start":"16:56","end":"18:28","startHours":16.941204159522187,"endHours":18.47367284080471,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:21","end":"13:53","startHours":12.343798115674613,"endHours":13.876266796957138,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:25","end":"16:56","startHours":15.408735478239661,"endHours":16.941204159522187,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:29","startHours":9.07453159560523,"endHours":9.483189910613902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:03","startHours":6.7247462843053585,"endHours":7.051672936312297,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:45","startHours":11.935139800665942,"endHours":12.752456430683287,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:24","startHours":4.579290130509825,"endHours":5.39660676052717,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:13","startHours":5.192277603022834,"endHours":6.213923390544517,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.38708969071798,"endHours":15.204406320735327,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.27367284080471,"endHours":18.67367284080471,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:59","startHours":18.47367284080471,"endHours":18.984495734565552,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.22367284080471,"endHours":19.97367284080471,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:45","startHours":23.935139800665944,"endHours":24.75245643068329,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:13","end":"07:45","startHours":6.213923390544517,"endHours":7.746392071827041,"quality":"inauspicious"},{"name":"Chala","start":"07:45","end":"09:17","startHours":7.746392071827041,"endHours":9.278860753109566,"quality":"neutral"},{"name":"Labha","start":"09:17","end":"10:49","startHours":9.278860753109566,"endHours":10.81132943439209,"quality":"auspicious"},{"name":"Amṛta","start":"10:49","end":"12:21","startHours":10.81132943439209,"endHours":12.343798115674613,"quality":"auspicious"},{"name":"Kāla","start":"12:21","end":"13:53","startHours":12.343798115674613,"endHours":13.876266796957138,"quality":"inauspicious"},{"name":"Śubha","start":"13:53","end":"15:25","startHours":13.876266796957138,"endHours":15.408735478239661,"quality":"auspicious"},{"name":"Roga","start":"15:25","end":"16:56","startHours":15.408735478239661,"endHours":16.941204159522187,"quality":"inauspicious"},{"name":"Udveg","start":"16:56","end":"18:28","startHours":16.941204159522187,"endHours":18.47367284080471,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:28","end":"19:56","startHours":18.47367284080471,"endHours":19.941204159522187,"quality":"auspicious"},{"name":"Roga","start":"19:56","end":"21:25","startHours":19.941204159522187,"endHours":21.408735478239663,"quality":"inauspicious"},{"name":"Udveg","start":"21:25","end":"22:53","startHours":21.408735478239663,"endHours":22.87626679695714,"quality":"inauspicious"},{"name":"Chala","start":"22:53","end":"00:21","startHours":22.87626679695714,"endHours":24.343798115674613,"quality":"neutral"},{"name":"Labha","start":"00:21","end":"01:49","startHours":24.343798115674613,"endHours":25.81132943439209,"quality":"auspicious"},{"name":"Amṛta","start":"01:49","end":"03:17","startHours":25.81132943439209,"endHours":27.278860753109566,"quality":"auspicious"},{"name":"Kāla","start":"03:17","end":"04:45","startHours":27.278860753109566,"endHours":28.74639207182704,"quality":"inauspicious"},{"name":"Śubha","start":"04:45","end":"06:13","startHours":28.74639207182704,"endHours":30.213923390544515,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.213923390544517,"endHours":7.213923390544517,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.213923390544517,"endHours":8.213923390544517,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.213923390544517,"endHours":9.213923390544517,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.213923390544517,"endHours":10.213923390544517,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.213923390544517,"endHours":11.213923390544517,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.213923390544517,"endHours":12.213923390544517,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.213923390544517,"endHours":13.213923390544517,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.213923390544517,"endHours":14.213923390544517,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.213923390544517,"endHours":15.213923390544517,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.213923390544517,"endHours":16.213923390544515,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.213923390544515,"endHours":17.213923390544515,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.213923390544515,"endHours":18.213923390544515,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.213923390544515,"endHours":19.213923390544515,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.213923390544515,"endHours":20.213923390544515,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.213923390544515,"endHours":21.213923390544515,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.213923390544515,"endHours":22.213923390544515,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.213923390544515,"endHours":23.213923390544515,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.213923390544515,"endHours":24.213923390544515,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.213923390544515,"endHours":25.213923390544515,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.213923390544515,"endHours":26.213923390544515,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.213923390544515,"endHours":27.213923390544515,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.213923390544515,"endHours":28.213923390544515,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.213923390544515,"endHours":29.213923390544515,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.213923390544515,"endHours":30.213923390544515,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":1.9366191879354644,"eotMinutes":-1.322686940476858,"ayanamsa":-47.9596}},"calendars":{"vikram_samvat":-3084,"saka_samvat":-3219,"bengali_samvat":-3734,"malayalam_era":-3965,"nanakshahi_year":-4610,"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 Pratipada · Vikram -3084 undefined · Śaka -3219 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 April 11, 3142 BCE · Mathurā · Vidhyamitra","description":"April 11, 3142 BCE for Mathurā: Śukla Pratipada, sūryodaya 06:13, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3141-04-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3141-04-11","sa":"https://sa.vidhyamitra.com/city/mathura/-3141-04-11","hi":"https://hi.vidhyamitra.com/city/mathura/-3141-04-11","x-default":"https://vidhyamitra.com/city/mathura/-3141-04-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T02:18:11.940Z","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":"2026-08-12T02:18:11.940Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T02:18:11.940Z","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"}}}