{"id":"vidhyamitra:city-day:varanasi:-3136-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3136-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-04-18","date_display":"April 18, 3137 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":-3136,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575741.770833,"kali_year":-34,"ahargana":-12723.7292,"sun":{"sidereal_longitude":60.1459,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":110.0522,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.9063,"elapsed_within_tithi_degrees":1.9063},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.0522,"elapsed_within_degrees":3.3856},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.1982},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3136,"month":4,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575741.770833,"ahargana":-12723.7292,"kali_year":-34,"ayanamsa_lahiri":-47.8894,"grahas":{"sun":{"sidereal_longitude":60.1459,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":110.0522,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false,"latitude":-1.8368},"mars":{"sidereal_longitude":130.2159,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":78.5871,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":31.8205,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":90.2302,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":291.6399,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":134.1644,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.1644,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":-3136,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575741.770833,"kali_year":-34,"ahargana":-12723.7292,"sun":{"sidereal_longitude":60.1459,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":110.0522,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.9063,"elapsed_within_tithi_degrees":1.9063},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":110.0522,"elapsed_within_degrees":3.3856},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.1982},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.837,"elongation":49.906},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.837,"opposition_distance":130.094}},"eclipse_window_40days":[]},"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":"05:45","sunsetLocal":"18:10","solarNoonLocal":"11:58","dayLengthHours":12.429770232489291,"dayLengthDisplay":"12 Hours 25 Mins 47 Secs","nightLengthDisplay":"11 Hours 34 Mins 13 Secs","moonriseLocal":"08:33","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"16:37","end":"18:10","startHours":16.621139122252092,"endHours":18.174860401313254,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:58","end":"13:31","startHours":11.959975285068609,"endHours":13.51369656412977,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:04","end":"16:37","startHours":15.067417843190931,"endHours":16.621139122252092,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:04","startHours":8.64536988973813,"endHours":9.05969556415444,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:36","startHours":6.262997261844349,"endHours":6.594457801377397,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:22","startHours":11.5456496106523,"endHours":12.374300959484918,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:55","startHours":4.087787471158723,"endHours":4.916438819991343,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:45","startHours":4.709275982783188,"endHours":5.745090168823962,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:52","startHours":14.031603657150155,"endHours":14.860255005982774,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.974860401313254,"endHours":18.374860401313253,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:42","startHours":18.174860401313254,"endHours":18.69276749433364,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.924860401313254,"endHours":19.674860401313254,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:22","startHours":23.545649610652298,"endHours":24.37430095948492,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:45","end":"07:18","startHours":5.745090168823962,"endHours":7.298811447885123,"quality":"inauspicious"},{"name":"Chala","start":"07:18","end":"08:51","startHours":7.298811447885123,"endHours":8.852532726946285,"quality":"neutral"},{"name":"Labha","start":"08:51","end":"10:24","startHours":8.852532726946285,"endHours":10.406254006007448,"quality":"auspicious"},{"name":"Amṛta","start":"10:24","end":"11:58","startHours":10.406254006007448,"endHours":11.959975285068609,"quality":"auspicious"},{"name":"Kāla","start":"11:58","end":"13:31","startHours":11.959975285068609,"endHours":13.51369656412977,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"15:04","startHours":13.51369656412977,"endHours":15.067417843190931,"quality":"auspicious"},{"name":"Roga","start":"15:04","end":"16:37","startHours":15.067417843190931,"endHours":16.621139122252092,"quality":"inauspicious"},{"name":"Udveg","start":"16:37","end":"18:10","startHours":16.621139122252092,"endHours":18.174860401313254,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:10","end":"19:37","startHours":18.174860401313254,"endHours":19.621139122252092,"quality":"auspicious"},{"name":"Roga","start":"19:37","end":"21:04","startHours":19.621139122252092,"endHours":21.06741784319093,"quality":"inauspicious"},{"name":"Udveg","start":"21:04","end":"22:31","startHours":21.06741784319093,"endHours":22.51369656412977,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"23:58","startHours":22.51369656412977,"endHours":23.95997528506861,"quality":"neutral"},{"name":"Labha","start":"23:58","end":"01:24","startHours":23.95997528506861,"endHours":25.406254006007448,"quality":"auspicious"},{"name":"Amṛta","start":"01:24","end":"02:51","startHours":25.406254006007448,"endHours":26.852532726946286,"quality":"auspicious"},{"name":"Kāla","start":"02:51","end":"04:18","startHours":26.852532726946286,"endHours":28.29881144788512,"quality":"inauspicious"},{"name":"Śubha","start":"04:18","end":"05:45","startHours":28.29881144788512,"endHours":29.745090168823964,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.745090168823962,"endHours":6.745090168823962,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.745090168823962,"endHours":7.745090168823962,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.745090168823962,"endHours":8.745090168823962,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.745090168823962,"endHours":9.745090168823962,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.745090168823962,"endHours":10.745090168823962,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.745090168823962,"endHours":11.745090168823962,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.745090168823962,"endHours":12.745090168823962,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.745090168823962,"endHours":13.745090168823962,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.745090168823962,"endHours":14.745090168823962,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.745090168823962,"endHours":15.745090168823962,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.745090168823962,"endHours":16.745090168823964,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.745090168823964,"endHours":17.745090168823964,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.745090168823964,"endHours":18.745090168823964,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.745090168823964,"endHours":19.745090168823964,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.745090168823964,"endHours":20.745090168823964,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.745090168823964,"endHours":21.745090168823964,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.745090168823964,"endHours":22.745090168823964,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.745090168823964,"endHours":23.745090168823964,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.745090168823964,"endHours":24.745090168823964,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.745090168823964,"endHours":25.745090168823964,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.745090168823964,"endHours":26.745090168823964,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.745090168823964,"endHours":27.745090168823964,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.745090168823964,"endHours":28.745090168823964,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.745090168823964,"endHours":29.745090168823964,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.843480822206314,"eotMinutes":0.5058828958834352,"ayanamsa":-47.8894}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pañcamī · Vikram -3079 undefined · Śaka -3214 undefined"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi_ingress":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Mithuna Saṅkrānti is not live yet; Ravivāra (Sunday) — 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, 3137 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"April 18, 3137 BCE for Vārāṇasī (Kāśī): Śukla Pañcamī, sūryodaya 05:45, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3136-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3136-04-18","sa":"https://sa.vidhyamitra.com/city/varanasi/-3136-04-18","hi":"https://hi.vidhyamitra.com/city/varanasi/-3136-04-18","x-default":"https://vidhyamitra.com/city/varanasi/-3136-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T15:22:40.431Z","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":"2026-09-11T15:22:40.431Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T15:22:40.431Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}