{"id":"vidhyamitra:city-day:mathura:-3165-04-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3165-04-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-04-14","date_display":"April 14, 3166 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":-3165,"month":4,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565144.770833,"kali_year":-63,"ahargana":-23320.7292,"sun":{"sidereal_longitude":55.8813,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":155.5313,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.65,"elapsed_within_tithi_degrees":3.65},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.5313,"elapsed_within_degrees":8.8646},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.4126},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3165,"month":4,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565144.770833,"ahargana":-23320.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2947,"grahas":{"sun":{"sidereal_longitude":55.8813,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":155.5313,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":0.0089},"mars":{"sidereal_longitude":40.5192,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":35.1163,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":213.1497,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":64.4603,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":297.3996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":335.6445,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.6445,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":-3165,"month":4,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565144.770833,"kali_year":-63,"ahargana":-23320.7292,"sun":{"sidereal_longitude":55.8813,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":155.5313,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.65,"elapsed_within_tithi_degrees":3.65},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.5313,"elapsed_within_degrees":8.8646},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.4126},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.009,"elongation":99.65},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.009,"opposition_distance":80.35}},"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":"06:10","sunsetLocal":"18:30","solarNoonLocal":"12:20","dayLengthHours":12.334527797011365,"dayLengthDisplay":"12 Hours 20 Mins 04 Secs","nightLengthDisplay":"11 Hours 39 Mins 56 Secs","moonriseLocal":"12:06","moonsetLocal":"01:51","rahuKala":{"name":"Rāhu Kāla","start":"07:42","end":"09:15","startHours":7.704670743624291,"endHours":9.246486718250711,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:47","end":"12:20","startHours":10.788302692877133,"endHours":12.330118667503553,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:25","startHours":13.871934642129974,"endHours":15.413750616756396,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:27","startHours":9.04091125496719,"endHours":9.452062181534234,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.676793427206678,"endHours":7.005714168460314,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:44","startHours":11.918967740936507,"endHours":12.7412695940706,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:20","startHours":4.518251062729689,"endHours":5.34055291586378,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:10","startHours":5.134977452580257,"endHours":6.162854768997871,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.385873300338782,"endHours":15.208175153472872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.297382566009237,"endHours":18.697382566009235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:01","startHours":18.497382566009236,"endHours":19.011321224218044,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.247382566009236,"endHours":19.997382566009236,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:44","startHours":23.91896774093651,"endHours":24.7412695940706,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:10","end":"07:42","startHours":6.162854768997871,"endHours":7.704670743624291,"quality":"auspicious"},{"name":"Kāla","start":"07:42","end":"09:15","startHours":7.704670743624291,"endHours":9.246486718250711,"quality":"inauspicious"},{"name":"Śubha","start":"09:15","end":"10:47","startHours":9.246486718250711,"endHours":10.788302692877133,"quality":"auspicious"},{"name":"Roga","start":"10:47","end":"12:20","startHours":10.788302692877133,"endHours":12.330118667503553,"quality":"inauspicious"},{"name":"Udveg","start":"12:20","end":"13:52","startHours":12.330118667503553,"endHours":13.871934642129974,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:25","startHours":13.871934642129974,"endHours":15.413750616756396,"quality":"neutral"},{"name":"Labha","start":"15:25","end":"16:57","startHours":15.413750616756396,"endHours":16.955566591382816,"quality":"auspicious"},{"name":"Amṛta","start":"16:57","end":"18:30","startHours":16.955566591382816,"endHours":18.497382566009236,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:30","end":"19:57","startHours":18.497382566009236,"endHours":19.955566591382816,"quality":"neutral"},{"name":"Labha","start":"19:57","end":"21:25","startHours":19.955566591382816,"endHours":21.413750616756396,"quality":"auspicious"},{"name":"Amṛta","start":"21:25","end":"22:52","startHours":21.413750616756396,"endHours":22.871934642129972,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:20","startHours":22.871934642129972,"endHours":24.330118667503555,"quality":"inauspicious"},{"name":"Śubha","start":"00:20","end":"01:47","startHours":24.330118667503555,"endHours":25.78830269287713,"quality":"auspicious"},{"name":"Roga","start":"01:47","end":"03:15","startHours":25.78830269287713,"endHours":27.24648671825071,"quality":"inauspicious"},{"name":"Udveg","start":"03:15","end":"04:42","startHours":27.24648671825071,"endHours":28.70467074362429,"quality":"inauspicious"},{"name":"Chala","start":"04:42","end":"06:10","startHours":28.70467074362429,"endHours":30.16285476899787,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.162854768997871,"endHours":7.162854768997871,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.162854768997871,"endHours":8.162854768997871,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.162854768997871,"endHours":9.162854768997871,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.162854768997871,"endHours":10.162854768997871,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.162854768997871,"endHours":11.162854768997871,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.162854768997871,"endHours":12.162854768997871,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.162854768997871,"endHours":13.162854768997871,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.162854768997871,"endHours":14.162854768997871,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.162854768997871,"endHours":15.162854768997871,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.162854768997871,"endHours":16.16285476899787,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.16285476899787,"endHours":17.16285476899787,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.16285476899787,"endHours":18.16285476899787,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.16285476899787,"endHours":19.16285476899787,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.16285476899787,"endHours":20.16285476899787,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.16285476899787,"endHours":21.16285476899787,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.16285476899787,"endHours":22.16285476899787,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.16285476899787,"endHours":23.16285476899787,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.16285476899787,"endHours":24.16285476899787,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.16285476899787,"endHours":25.16285476899787,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.16285476899787,"endHours":26.16285476899787,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.16285476899787,"endHours":27.16285476899787,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.16285476899787,"endHours":28.16285476899787,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.16285476899787,"endHours":29.16285476899787,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.16285476899787,"endHours":30.16285476899787,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.010011864027932,"eotMinutes":-0.5019200502131674,"ayanamsa":-48.2947}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"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 Navamī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 14, 3166 BCE · Mathurā · Vidhyamitra","description":"April 14, 3166 BCE for Mathurā: Śukla Navamī, sūryodaya 06:10, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3165-04-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3165-04-14","sa":"https://sa.vidhyamitra.com/city/mathura/-3165-04-14","hi":"https://hi.vidhyamitra.com/city/mathura/-3165-04-14","x-default":"https://vidhyamitra.com/city/mathura/-3165-04-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:41:40.819Z","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":"2026-08-12T00:41:40.819Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:41:40.819Z","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"}}}