{"id":"vidhyamitra:city-day:mathura:-0461-04-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0461-04-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-04-10","date_display":"April 10, 462 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":-461,"month":4,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552776.770833,"kali_year":2641,"ahargana":964311.2708,"sun":{"sidereal_longitude":29.4958,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":263.1862,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.6903,"elapsed_within_tithi_degrees":5.6903},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.1862,"elapsed_within_degrees":9.8529},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.682},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":-461,"month":4,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552776.770833,"ahargana":964311.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5215,"grahas":{"sun":{"sidereal_longitude":29.4958,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":263.1862,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":3.7745},"mars":{"sidereal_longitude":253.974,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":5.1076,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":215.9303,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":28.6735,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":212.7901,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":206.1483,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":26.1483,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-461,"month":4,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552776.770833,"kali_year":2641,"ahargana":964311.2708,"sun":{"sidereal_longitude":29.4958,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":263.1862,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.6903,"elapsed_within_tithi_degrees":5.6903},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.1862,"elapsed_within_degrees":9.8529},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.682},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.774,"elongation":126.31},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.774,"opposition_distance":53.69}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":1.169,"elongation":0.899},{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":-0.849,"elongation":2.554}]},"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":"06:02","sunsetLocal":"18:40","solarNoonLocal":"12:21","dayLengthHours":12.645502872189917,"dayLengthDisplay":"12 Hours 38 Mins 44 Secs","nightLengthDisplay":"11 Hours 21 Mins 16 Secs","moonriseLocal":"22:42","moonsetLocal":"09:09","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:56","startHours":12.348537592752752,"endHours":13.92922545177649,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:36","end":"09:11","startHours":7.606474015681532,"endHours":9.187161874705271,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:46","end":"12:21","startHours":10.767849733729012,"endHours":12.348537592752752,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:24","startHours":8.976403493502106,"endHours":9.397920255908437,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.552682109665706,"endHours":6.8898955195907705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:46","startHours":11.927020830346422,"endHours":12.770054355159083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:11","startHours":4.3397191070324705,"endHours":5.182752631845132,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:02","startHours":4.971994250641966,"endHours":6.025786156657793,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.456121404784405,"endHours":15.299154929597066,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.47128902884771,"endHours":18.87128902884771,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:12","startHours":18.67128902884771,"endHours":19.198184981855622,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.42128902884771,"endHours":20.17128902884771,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:46","startHours":23.92702083034642,"endHours":24.770054355159083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:02","end":"07:36","startHours":6.025786156657793,"endHours":7.606474015681532,"quality":"auspicious"},{"name":"Amṛta","start":"07:36","end":"09:11","startHours":7.606474015681532,"endHours":9.187161874705271,"quality":"auspicious"},{"name":"Kāla","start":"09:11","end":"10:46","startHours":9.187161874705271,"endHours":10.767849733729012,"quality":"inauspicious"},{"name":"Śubha","start":"10:46","end":"12:21","startHours":10.767849733729012,"endHours":12.348537592752752,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:56","startHours":12.348537592752752,"endHours":13.92922545177649,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:31","startHours":13.92922545177649,"endHours":15.509913310800231,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:05","startHours":15.509913310800231,"endHours":17.09060116982397,"quality":"neutral"},{"name":"Labha","start":"17:05","end":"18:40","startHours":17.09060116982397,"endHours":18.67128902884771,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:40","end":"20:05","startHours":18.67128902884771,"endHours":20.09060116982397,"quality":"inauspicious"},{"name":"Chala","start":"20:05","end":"21:31","startHours":20.09060116982397,"endHours":21.50991331080023,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:56","startHours":21.50991331080023,"endHours":22.92922545177649,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:21","startHours":22.92922545177649,"endHours":24.348537592752752,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:46","startHours":24.348537592752752,"endHours":25.76784973372901,"quality":"inauspicious"},{"name":"Śubha","start":"01:46","end":"03:11","startHours":25.76784973372901,"endHours":27.18716187470527,"quality":"auspicious"},{"name":"Roga","start":"03:11","end":"04:36","startHours":27.18716187470527,"endHours":28.606474015681535,"quality":"inauspicious"},{"name":"Udveg","start":"04:36","end":"06:02","startHours":28.606474015681535,"endHours":30.025786156657794,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.025786156657793,"endHours":7.025786156657793,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.025786156657793,"endHours":8.025786156657793,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.025786156657793,"endHours":9.025786156657793,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.025786156657793,"endHours":10.025786156657793,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.025786156657793,"endHours":11.025786156657793,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.025786156657793,"endHours":12.025786156657793,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.025786156657793,"endHours":13.025786156657793,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.025786156657793,"endHours":14.025786156657793,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.025786156657793,"endHours":15.025786156657793,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.025786156657793,"endHours":16.025786156657794,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.025786156657794,"endHours":17.025786156657794,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.025786156657794,"endHours":18.025786156657794,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.025786156657794,"endHours":19.025786156657794,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.025786156657794,"endHours":20.025786156657794,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.025786156657794,"endHours":21.025786156657794,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.025786156657794,"endHours":22.025786156657794,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.025786156657794,"endHours":23.025786156657794,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.025786156657794,"endHours":24.025786156657794,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.025786156657794,"endHours":25.025786156657794,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.025786156657794,"endHours":26.025786156657794,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.025786156657794,"endHours":27.025786156657794,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.025786156657794,"endHours":28.025786156657794,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.025786156657794,"endHours":29.025786156657794,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.025786156657794,"endHours":30.025786156657794,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.43031840285952,"eotMinutes":-1.6070555651651,"ayanamsa":-10.5215}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"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 Pañcamī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"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 Vṛṣabha Saṅkrānti 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 10, 462 BCE · Mathurā · Vidhyamitra","description":"April 10, 462 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:02, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0461-04-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0461-04-10","sa":"https://sa.vidhyamitra.com/city/mathura/-0461-04-10","hi":"https://hi.vidhyamitra.com/city/mathura/-0461-04-10","x-default":"https://vidhyamitra.com/city/mathura/-0461-04-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:46:22.290Z","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":"2026-08-10T20:46:22.290Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:46:22.290Z","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"}}}