{"id":"vidhyamitra:city-day:varanasi:-0461-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-0461-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-04-18","date_display":"April 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552784.770833,"kali_year":2641,"ahargana":964319.2708,"sun":{"sidereal_longitude":37.1518,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.679,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.5272,"elapsed_within_tithi_degrees":6.5272},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.679,"elapsed_within_degrees":7.679},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.8308},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":-461,"month":4,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552784.770833,"ahargana":964319.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5212,"grahas":{"sun":{"sidereal_longitude":37.1518,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":7.679,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":1.3927},"mars":{"sidereal_longitude":253.762,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":18.0608,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":214.7835,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":24.1904,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":212.1358,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.7244,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.7244,"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":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552784.770833,"kali_year":2641,"ahargana":964319.2708,"sun":{"sidereal_longitude":37.1518,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.679,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.5272,"elapsed_within_tithi_degrees":6.5272},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.679,"elapsed_within_degrees":7.679},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.8308},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.393,"elongation":29.473},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.393,"opposition_distance":150.527}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.849,"elongation":2.554}]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:34","sunsetLocal":"18:21","solarNoonLocal":"11:58","dayLengthHours":12.781013968163705,"dayLengthDisplay":"12 Hours 46 Mins 52 Secs","nightLengthDisplay":"11 Hours 13 Mins 08 Secs","moonriseLocal":"03:59","moonsetLocal":"16:00","rahuKala":{"name":"Rāhu Kāla","start":"13:33","end":"15:09","startHours":13.557602031089072,"endHours":15.155228777109535,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:34","end":"07:10","startHours":5.569468300986757,"endHours":7.16709504700722,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:46","end":"10:22","startHours":8.764721793027682,"endHours":10.362348539048146,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"08:59","startHours":8.551704893558288,"endHours":8.977738692497079,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:27","startHours":6.102010549660244,"endHours":6.442837588811276,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:23","startHours":11.533941486129818,"endHours":12.3860090840074,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:43","startHours":3.8653331052315965,"endHours":4.717400703109177,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:34","startHours":4.504383803639781,"endHours":5.569468300986757,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:57","startHours":14.090144279762562,"endHours":14.942211877640142,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.150482269150462,"endHours":18.55048226915046,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:53","startHours":18.35048226915046,"endHours":18.883024517823948,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.10048226915046,"endHours":19.85048226915046,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:23","startHours":23.53394148612982,"endHours":24.386009084007398,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:34","end":"07:10","startHours":5.569468300986757,"endHours":7.16709504700722,"quality":"auspicious"},{"name":"Roga","start":"07:10","end":"08:46","startHours":7.16709504700722,"endHours":8.764721793027682,"quality":"inauspicious"},{"name":"Udveg","start":"08:46","end":"10:22","startHours":8.764721793027682,"endHours":10.362348539048146,"quality":"inauspicious"},{"name":"Chala","start":"10:22","end":"11:58","startHours":10.362348539048146,"endHours":11.959975285068609,"quality":"neutral"},{"name":"Labha","start":"11:58","end":"13:33","startHours":11.959975285068609,"endHours":13.557602031089072,"quality":"auspicious"},{"name":"Amṛta","start":"13:33","end":"15:09","startHours":13.557602031089072,"endHours":15.155228777109535,"quality":"auspicious"},{"name":"Kāla","start":"15:09","end":"16:45","startHours":15.155228777109535,"endHours":16.75285552313,"quality":"inauspicious"},{"name":"Śubha","start":"16:45","end":"18:21","startHours":16.75285552313,"endHours":18.35048226915046,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:21","end":"19:45","startHours":18.35048226915046,"endHours":19.75285552313,"quality":"auspicious"},{"name":"Kāla","start":"19:45","end":"21:09","startHours":19.75285552313,"endHours":21.155228777109535,"quality":"inauspicious"},{"name":"Śubha","start":"21:09","end":"22:33","startHours":21.155228777109535,"endHours":22.557602031089072,"quality":"auspicious"},{"name":"Roga","start":"22:33","end":"23:58","startHours":22.557602031089072,"endHours":23.95997528506861,"quality":"inauspicious"},{"name":"Udveg","start":"23:58","end":"01:22","startHours":23.95997528506861,"endHours":25.362348539048146,"quality":"inauspicious"},{"name":"Chala","start":"01:22","end":"02:46","startHours":25.362348539048146,"endHours":26.764721793027682,"quality":"neutral"},{"name":"Labha","start":"02:46","end":"04:10","startHours":26.764721793027682,"endHours":28.16709504700722,"quality":"auspicious"},{"name":"Amṛta","start":"04:10","end":"05:34","startHours":28.16709504700722,"endHours":29.569468300986756,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.569468300986757,"endHours":6.569468300986757,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.569468300986757,"endHours":7.569468300986757,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.569468300986757,"endHours":8.569468300986756,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.569468300986756,"endHours":9.569468300986756,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.569468300986756,"endHours":10.569468300986756,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.569468300986756,"endHours":11.569468300986756,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.569468300986756,"endHours":12.569468300986756,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.569468300986756,"endHours":13.569468300986756,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.569468300986756,"endHours":14.569468300986756,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.569468300986756,"endHours":15.569468300986756,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.569468300986756,"endHours":16.569468300986756,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.569468300986756,"endHours":17.569468300986756,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.569468300986756,"endHours":18.569468300986756,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.569468300986756,"endHours":19.569468300986756,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.569468300986756,"endHours":20.569468300986756,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.569468300986756,"endHours":21.569468300986756,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.569468300986756,"endHours":22.569468300986756,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.569468300986756,"endHours":23.569468300986756,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.569468300986756,"endHours":24.569468300986756,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.569468300986756,"endHours":25.569468300986756,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.569468300986756,"endHours":26.569468300986756,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.569468300986756,"endHours":27.569468300986756,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.569468300986756,"endHours":28.569468300986756,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.569468300986756,"endHours":29.569468300986756,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Mṛtyu","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":10.269487750146245,"eotMinutes":0.5058828958834352,"ayanamsa":-10.5212}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa 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 Kṛṣṇa Trayodaśī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 18, 462 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"April 18, 462 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 05:34, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-0461-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-0461-04-18","sa":"https://sa.vidhyamitra.com/city/varanasi/-0461-04-18","hi":"https://hi.vidhyamitra.com/city/varanasi/-0461-04-18","x-default":"https://vidhyamitra.com/city/varanasi/-0461-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T22:56:40.873Z","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":"2026-08-10T22:56:40.873Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T22:56:40.873Z","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"}}}