{"id":"vidhyamitra:city-day:mathura:-0511-04-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0511-04-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-04-02","date_display":"April 2, 512 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":-511,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534506.770833,"kali_year":2591,"ahargana":946041.2708,"sun":{"sidereal_longitude":22.7122,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":9.555,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":346.8428,"elapsed_within_tithi_degrees":10.8428},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.555,"elapsed_within_degrees":9.555},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.2673},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":-511,"month":4,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534506.770833,"ahargana":946041.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2203,"grahas":{"sun":{"sidereal_longitude":22.7122,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":9.555,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-4.4802},"mars":{"sidereal_longitude":26.1169,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":27.8762,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":118.275,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":52.0985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":312.0735,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.1808,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.1808,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534506.770833,"kali_year":2591,"ahargana":946041.2708,"sun":{"sidereal_longitude":22.7122,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":9.555,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":346.8428,"elapsed_within_tithi_degrees":10.8428},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.555,"elapsed_within_degrees":9.555},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.2673},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.48,"elongation":13.157},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.48,"opposition_distance":166.843}},"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":"18:37","solarNoonLocal":"12:23","dayLengthHours":12.441859140086668,"dayLengthDisplay":"12 Hours 26 Mins 31 Secs","nightLengthDisplay":"11 Hours 33 Mins 29 Secs","moonriseLocal":"05:29","moonsetLocal":"17:32","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"13:57","startHours":12.388896077310331,"endHours":13.944128469821166,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:43","end":"09:17","startHours":7.723198899777832,"endHours":9.278431292288666,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:50","end":"12:23","startHours":10.833663684799498,"endHours":12.388896077310331,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:29","startHours":9.07106697328722,"endHours":9.48579561129011,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.686377304770609,"endHours":7.01816021517292,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:48","startHours":11.974167439307443,"endHours":12.803624715313223,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:20","startHours":4.509051955255442,"endHours":5.33850923126122,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:10","startHours":5.131144912259776,"endHours":6.167966507266998,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:18","startHours":14.462539267324777,"endHours":15.291996543330555,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.409825647353667,"endHours":18.809825647353666,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:08","startHours":18.609825647353667,"endHours":19.12823644485728,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.359825647353667,"endHours":20.109825647353667,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:48","startHours":23.974167439307447,"endHours":24.803624715313223,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:10","end":"07:43","startHours":6.167966507266998,"endHours":7.723198899777832,"quality":"auspicious"},{"name":"Amṛta","start":"07:43","end":"09:17","startHours":7.723198899777832,"endHours":9.278431292288666,"quality":"auspicious"},{"name":"Kāla","start":"09:17","end":"10:50","startHours":9.278431292288666,"endHours":10.833663684799498,"quality":"inauspicious"},{"name":"Śubha","start":"10:50","end":"12:23","startHours":10.833663684799498,"endHours":12.388896077310331,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"13:57","startHours":12.388896077310331,"endHours":13.944128469821166,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:30","startHours":13.944128469821166,"endHours":15.499360862331999,"quality":"inauspicious"},{"name":"Chala","start":"15:30","end":"17:03","startHours":15.499360862331999,"endHours":17.054593254842835,"quality":"neutral"},{"name":"Labha","start":"17:03","end":"18:37","startHours":17.054593254842835,"endHours":18.609825647353667,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:37","end":"20:03","startHours":18.609825647353667,"endHours":20.054593254842832,"quality":"inauspicious"},{"name":"Chala","start":"20:03","end":"21:30","startHours":20.054593254842832,"endHours":21.499360862332,"quality":"neutral"},{"name":"Labha","start":"21:30","end":"22:57","startHours":21.499360862332,"endHours":22.944128469821166,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:23","startHours":22.944128469821166,"endHours":24.38889607731033,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:50","startHours":24.38889607731033,"endHours":25.833663684799497,"quality":"inauspicious"},{"name":"Śubha","start":"01:50","end":"03:17","startHours":25.833663684799497,"endHours":27.278431292288666,"quality":"auspicious"},{"name":"Roga","start":"03:17","end":"04:43","startHours":27.278431292288666,"endHours":28.72319889977783,"quality":"inauspicious"},{"name":"Udveg","start":"04:43","end":"06:10","startHours":28.72319889977783,"endHours":30.167966507266996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.167966507266998,"endHours":7.167966507266998,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.167966507266998,"endHours":8.167966507266998,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.167966507266998,"endHours":9.167966507266998,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.167966507266998,"endHours":10.167966507266998,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.167966507266998,"endHours":11.167966507266998,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.167966507266998,"endHours":12.167966507266998,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.167966507266998,"endHours":13.167966507266998,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.167966507266998,"endHours":14.167966507266998,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.167966507266998,"endHours":15.167966507266998,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.167966507266998,"endHours":16.167966507266996,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.167966507266996,"endHours":17.167966507266996,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.167966507266996,"endHours":18.167966507266996,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.167966507266996,"endHours":19.167966507266996,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.167966507266996,"endHours":20.167966507266996,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.167966507266996,"endHours":21.167966507266996,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.167966507266996,"endHours":22.167966507266996,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.167966507266996,"endHours":23.167966507266996,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.167966507266996,"endHours":24.167966507266996,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.167966507266996,"endHours":25.167966507266996,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.167966507266996,"endHours":26.167966507266996,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.167966507266996,"endHours":27.167966507266996,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.167966507266996,"endHours":28.167966507266996,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.167966507266996,"endHours":29.167966507266996,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.167966507266996,"endHours":30.167966507266996,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.544882210125328,"eotMinutes":-4.028564638619968,"ayanamsa":-11.2203}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa 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 Kṛṣṇa Caturdaśī · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Māsika Śivarātri is not live yet; 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 2, 512 BCE · Mathurā · Vidhyamitra","description":"April 2, 512 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:10, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0511-04-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0511-04-02","sa":"https://sa.vidhyamitra.com/city/mathura/-0511-04-02","hi":"https://hi.vidhyamitra.com/city/mathura/-0511-04-02","x-default":"https://vidhyamitra.com/city/mathura/-0511-04-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T00:55:45.330Z","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":"2026-08-11T00:55:45.330Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T00:55:45.330Z","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"}}}