{"id":"vidhyamitra:city-day:mathura:-3200-04-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3200-04-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-04-03","date_display":"April 3, 3201 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":-3200,"month":4,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552350.770833,"kali_year":-98,"ahargana":-36114.7292,"sun":{"sidereal_longitude":46.4323,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":57.3579,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.9256,"elapsed_within_tithi_degrees":10.9256},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.3579,"elapsed_within_degrees":4.0246},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.7902},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3200,"month":4,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552350.770833,"ahargana":-36114.7292,"kali_year":-98,"ayanamsa_lahiri":-48.7841,"grahas":{"sun":{"sidereal_longitude":46.4323,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":57.3579,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false,"latitude":3.7371},"mars":{"sidereal_longitude":116.02,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":68.0855,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":235.848,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":67.8484,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":234.506,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":293.5321,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":113.5321,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":-3200,"month":4,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552350.770833,"kali_year":-98,"ahargana":-36114.7292,"sun":{"sidereal_longitude":46.4323,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":57.3579,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.9256,"elapsed_within_tithi_degrees":10.9256},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.3579,"elapsed_within_degrees":4.0246},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.7902},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.737,"elongation":10.926},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.737,"opposition_distance":169.074}},"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":"06:21","sunsetLocal":"18:25","solarNoonLocal":"12:23","dayLengthHours":12.060325175830492,"dayLengthDisplay":"12 Hours 03 Mins 37 Secs","nightLengthDisplay":"11 Hours 56 Mins 23 Secs","moonriseLocal":"06:57","moonsetLocal":"19:16","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"13:53","startHours":12.383668051641514,"endHours":13.891208698620327,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:22","startHours":7.861046110705081,"endHours":9.368586757683893,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:23","startHours":10.876127404662704,"endHours":12.383668051641514,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.167581338086716,"endHours":9.569592177281066,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.856019012719206,"endHours":7.177627684074686,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:47","startHours":11.981657212447164,"endHours":12.785678890835865,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:33","startHours":4.74546210694887,"endHours":5.54948378533757,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:21","startHours":5.3484783657403945,"endHours":6.353505463726269,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:12","startHours":14.393722247613262,"endHours":15.19774392600196,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.21383063955676,"endHours":18.61383063955676,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:55","startHours":18.41383063955676,"endHours":18.916344188549697,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.16383063955676,"endHours":19.91383063955676,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:47","startHours":23.981657212447164,"endHours":24.785678890835865,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:21","end":"07:52","startHours":6.353505463726269,"endHours":7.861046110705081,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:22","startHours":7.861046110705081,"endHours":9.368586757683893,"quality":"auspicious"},{"name":"Kāla","start":"09:22","end":"10:53","startHours":9.368586757683893,"endHours":10.876127404662704,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:23","startHours":10.876127404662704,"endHours":12.383668051641514,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"13:53","startHours":12.383668051641514,"endHours":13.891208698620327,"quality":"inauspicious"},{"name":"Udveg","start":"13:53","end":"15:24","startHours":13.891208698620327,"endHours":15.398749345599139,"quality":"inauspicious"},{"name":"Chala","start":"15:24","end":"16:54","startHours":15.398749345599139,"endHours":16.90628999257795,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:25","startHours":16.90628999257795,"endHours":18.41383063955676,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:54","startHours":18.41383063955676,"endHours":19.90628999257795,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:24","startHours":19.90628999257795,"endHours":21.398749345599136,"quality":"neutral"},{"name":"Labha","start":"21:24","end":"22:53","startHours":21.398749345599136,"endHours":22.891208698620325,"quality":"auspicious"},{"name":"Amṛta","start":"22:53","end":"00:23","startHours":22.891208698620325,"endHours":24.383668051641514,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:53","startHours":24.383668051641514,"endHours":25.876127404662704,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:22","startHours":25.876127404662704,"endHours":27.368586757683893,"quality":"auspicious"},{"name":"Roga","start":"03:22","end":"04:52","startHours":27.368586757683893,"endHours":28.86104611070508,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:21","startHours":28.86104611070508,"endHours":30.35350546372627,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.353505463726269,"endHours":7.353505463726269,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.353505463726269,"endHours":8.353505463726268,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.353505463726268,"endHours":9.353505463726268,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.353505463726268,"endHours":10.353505463726268,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.353505463726268,"endHours":11.353505463726268,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.353505463726268,"endHours":12.353505463726268,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.353505463726268,"endHours":13.353505463726268,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.353505463726268,"endHours":14.353505463726268,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.353505463726268,"endHours":15.353505463726268,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.353505463726268,"endHours":16.35350546372627,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.35350546372627,"endHours":17.35350546372627,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.35350546372627,"endHours":18.35350546372627,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.35350546372627,"endHours":19.35350546372627,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.35350546372627,"endHours":20.35350546372627,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.35350546372627,"endHours":21.35350546372627,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.35350546372627,"endHours":22.35350546372627,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.35350546372627,"endHours":23.35350546372627,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.35350546372627,"endHours":24.35350546372627,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.35350546372627,"endHours":25.35350546372627,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.35350546372627,"endHours":26.35350546372627,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.35350546372627,"endHours":27.35350546372627,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.35350546372627,"endHours":28.35350546372627,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.35350546372627,"endHours":29.35350546372627,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.35350546372627,"endHours":30.35350546372627,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.9351660838757597,"eotMinutes":-3.714883098490848,"ayanamsa":-48.7841}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"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 -3143 undefined · Śaka -3278 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 3, 3201 BCE · Mathurā · Vidhyamitra","description":"April 3, 3201 BCE for Mathurā: Śukla Pratipada, sūryodaya 06:21, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3200-04-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3200-04-03","sa":"https://sa.vidhyamitra.com/city/mathura/-3200-04-03","hi":"https://hi.vidhyamitra.com/city/mathura/-3200-04-03","x-default":"https://vidhyamitra.com/city/mathura/-3200-04-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T20:18:48.480Z","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":"2026-08-12T20:18:48.480Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T20:18:48.480Z","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"}}}