{"id":"vidhyamitra:city-day:mathura:-3232-03-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3232-03-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3232-03-12","date_display":"March 12, 3233 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":-3232,"month":3,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":540640.770833,"kali_year":-130,"ahargana":-47824.7292,"sun":{"sidereal_longitude":25.6704,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":200.6314,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.9611,"elapsed_within_tithi_degrees":6.9611},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.6314,"elapsed_within_degrees":0.6314},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.3018},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3232,"month":3,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":540640.770833,"ahargana":-47824.7292,"kali_year":-130,"ayanamsa_lahiri":-49.2319,"grahas":{"sun":{"sidereal_longitude":25.6704,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":200.6314,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":0.5204},"mars":{"sidereal_longitude":101.4733,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":45.0974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":353.2829,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":38.7664,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":206.9963,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":193.9843,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":13.9843,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-3232,"month":3,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":540640.770833,"kali_year":-130,"ahargana":-47824.7292,"sun":{"sidereal_longitude":25.6704,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":200.6314,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.9611,"elapsed_within_tithi_degrees":6.9611},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.6314,"elapsed_within_degrees":0.6314},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.3018},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.52,"elongation":174.961},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.52,"opposition_distance":5.039}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":0.367,"elongation":1.108}]},"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":"06:45","sunsetLocal":"18:14","solarNoonLocal":"12:30","dayLengthHours":11.486223869069029,"dayLengthDisplay":"11 Hours 29 Mins 10 Secs","nightLengthDisplay":"12 Hours 30 Mins 50 Secs","moonriseLocal":"17:44","moonsetLocal":"06:36","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:22","startHours":13.932416628743542,"endHours":15.368194612377172,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:45","end":"08:11","startHours":6.7535267105754,"endHours":8.189304694209028,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"11:04","startHours":9.625082677842657,"endHours":11.060860661476287,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:49","startHours":9.433645613358173,"endHours":9.816519742327142,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:14","end":"07:32","startHours":7.2321193717866095,"endHours":7.538418674961783,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:53","startHours":12.113764516140947,"endHours":12.879512774078883,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:13","end":"05:59","startHours":5.22203019469953,"endHours":5.987778452637465,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:48","end":"06:45","startHours":5.796341388152981,"endHours":6.7535267105754,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:11","startHours":14.411009289954752,"endHours":15.176757547892686,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:02","end":"18:26","startHours":18.03975057964443,"endHours":18.43975057964443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:14","end":"18:43","startHours":18.23975057964443,"endHours":18.71834324085564,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:59","end":"19:44","startHours":17.98975057964443,"endHours":19.73975057964443,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:53","startHours":24.113764516140947,"endHours":24.879512774078883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:45","end":"08:11","startHours":6.7535267105754,"endHours":8.189304694209028,"quality":"auspicious"},{"name":"Roga","start":"08:11","end":"09:38","startHours":8.189304694209028,"endHours":9.625082677842657,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"11:04","startHours":9.625082677842657,"endHours":11.060860661476287,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:30","startHours":11.060860661476287,"endHours":12.496638645109915,"quality":"neutral"},{"name":"Labha","start":"12:30","end":"13:56","startHours":12.496638645109915,"endHours":13.932416628743542,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:22","startHours":13.932416628743542,"endHours":15.368194612377172,"quality":"auspicious"},{"name":"Kāla","start":"15:22","end":"16:48","startHours":15.368194612377172,"endHours":16.8039725960108,"quality":"inauspicious"},{"name":"Śubha","start":"16:48","end":"18:14","startHours":16.8039725960108,"endHours":18.23975057964443,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:14","end":"19:48","startHours":18.23975057964443,"endHours":19.8039725960108,"quality":"auspicious"},{"name":"Kāla","start":"19:48","end":"21:22","startHours":19.8039725960108,"endHours":21.368194612377174,"quality":"inauspicious"},{"name":"Śubha","start":"21:22","end":"22:56","startHours":21.368194612377174,"endHours":22.932416628743542,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:30","startHours":22.932416628743542,"endHours":24.496638645109915,"quality":"inauspicious"},{"name":"Udveg","start":"00:30","end":"02:04","startHours":24.496638645109915,"endHours":26.060860661476287,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:38","startHours":26.060860661476287,"endHours":27.625082677842656,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:11","startHours":27.625082677842656,"endHours":29.189304694209028,"quality":"auspicious"},{"name":"Amṛta","start":"05:11","end":"06:45","startHours":29.189304694209028,"endHours":30.7535267105754,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.7535267105754,"endHours":7.7535267105754,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.7535267105754,"endHours":8.7535267105754,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.7535267105754,"endHours":9.7535267105754,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.7535267105754,"endHours":10.7535267105754,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.7535267105754,"endHours":11.7535267105754,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.7535267105754,"endHours":12.7535267105754,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.7535267105754,"endHours":13.7535267105754,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.7535267105754,"endHours":14.7535267105754,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.7535267105754,"endHours":15.7535267105754,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.7535267105754,"endHours":16.7535267105754,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.7535267105754,"endHours":17.7535267105754,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.7535267105754,"endHours":18.7535267105754,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.7535267105754,"endHours":19.7535267105754,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.7535267105754,"endHours":20.7535267105754,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.7535267105754,"endHours":21.7535267105754,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.7535267105754,"endHours":22.7535267105754,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.7535267105754,"endHours":23.7535267105754,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.7535267105754,"endHours":24.7535267105754,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.7535267105754,"endHours":25.7535267105754,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.7535267105754,"endHours":26.7535267105754,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.7535267105754,"endHours":27.7535267105754,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.7535267105754,"endHours":28.7535267105754,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.7535267105754,"endHours":29.7535267105754,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.7535267105754,"endHours":30.7535267105754,"planetary_lord":"Moon"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.14809518850064,"eotMinutes":-10.493118706594819,"ayanamsa":-49.2319}},"calendars":{"vikram_samvat":-3175,"saka_samvat":-3310,"bengali_samvat":-3825,"malayalam_era":-4056,"nanakshahi_year":-4701,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pūrṇimā · Vikram -3175 undefined · Śaka -3310 undefined"},"festivals":[{"id":"buddha-purnima","name":"Buddha Pūrṇimā","name_sanskrit":"बुद्ध पूर्णिमा","name_alternates":["Vesak","Vaiśākhī Pūrṇimā","Vesakha"],"tradition":"Pan-Hindu","associated_deity":"Buddha (21st avatāra of Krishna per Bhāgavata 1.3.24)","deity_avatara_index":21,"significance":"Buddha's birth, enlightenment, and mahāparinirvāṇa all on this Vaiśākha Pūrṇimā. Most sacred Buddhist + Vaishnava day.","vrata":true,"primary_observance":"Day-long observance of compassion (karuṇā) and ahiṁsā; Buddha-stuti at sunset","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"buddha","sources":["Bhāgavata Purāṇa 1.3.24","Pāli Tipiṭaka","Buddhacarita by Aśvaghoṣa"]},{"id":"kurma-jayanti","name":"Kūrma Jayantī","name_sanskrit":"कूर्म जयन्ती","tradition":"Vaishnava","associated_deity":"Kūrma (2nd avatāra of Krishna)","deity_avatara_index":11,"significance":"Kūrma supports Mount Mandara during the Sāgara-mathana (churning of the cosmic ocean).","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4,"sources":["Bhāgavata 8.7-8"]},{"id":"chandika-jayanti","name":"Chaṇḍikā Jayantī","name_sanskrit":"चण्डिका जयन्ती","tradition":"Shakta","associated_deity":"Devī Chaṇḍikā","significance":"Devī's fierce protective form. Often coincides with Buddha Pūrṇimā.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5},{"id":"chitra-paurnami","name":"Citrā Paurṇamī","name_sanskrit":"चित्रा पौर्णमी","tradition":"Regional","significance":"Tamil regional Vaiśākha Pūrṇimā observance; honors Citragupta.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":6},{"id":"vaishakha-purnima-vrat","name":"Vaiśākha Pūrṇimā Vrat","name_sanskrit":"वैशाख पूर्णिमा व्रत","tradition":"Pan-Hindu","significance":"General Pūrṇimā vrat in Vaiśākha (highly auspicious month).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":7}],"todays_walk":{"walk":{"id":"buddha-purnima-walk","name":"Buddha Pūrṇimā Walk","name_sanskrit":"बुद्ध पूर्णिमा यात्रा","type":"festival","description":"Bhāgavata 1.3.24 (Buddha as 21st avatāra) + BG 12.13 (compassion) + Dhammapada parallels.","step_count":7,"url":"/walk/buddha-purnima-walk"},"reason":"Today is Buddha Pūrṇimā — its dedicated 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 March 12, 3233 BCE · Mathurā · Vidhyamitra","description":"March 12, 3233 BCE for Mathurā: Śukla Pūrṇimā, sūryodaya 06:45, sūryāsta 18:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3232-03-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3232-03-12","sa":"https://sa.vidhyamitra.com/city/mathura/-3232-03-12","hi":"https://hi.vidhyamitra.com/city/mathura/-3232-03-12","x-default":"https://vidhyamitra.com/city/mathura/-3232-03-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T00:24:32.677Z","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":"2026-08-13T00:24:32.677Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T00:24:32.677Z","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"}}}