{"id":"vidhyamitra:city-day:varanasi:-3137-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3137-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-24","date_display":"December 24, 3138 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":-3137,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575625.770833,"kali_year":-35,"ahargana":-12839.7292,"sun":{"sidereal_longitude":306.9429,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":23.8184,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.8756,"elapsed_within_tithi_degrees":4.8756},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.8184,"elapsed_within_degrees":10.4851},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.7613},"karana":{"half_tithi_index":12,"name":"Gara"},"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":-3137,"month":12,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575625.770833,"ahargana":-12839.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8939,"grahas":{"sun":{"sidereal_longitude":306.9429,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":23.8184,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-4.0267},"mars":{"sidereal_longitude":102.8653,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":318.4713,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":5.9223,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":307.4972,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":285.4588,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.3106,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.3106,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575625.770833,"kali_year":-35,"ahargana":-12839.7292,"sun":{"sidereal_longitude":306.9429,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":23.8184,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.8756,"elapsed_within_tithi_degrees":4.8756},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.8184,"elapsed_within_degrees":10.4851},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.7613},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.027,"elongation":76.876},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.027,"opposition_distance":103.124}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":"06:40","sunsetLocal":"17:16","solarNoonLocal":"11:58","dayLengthHours":10.59257022172472,"dayLengthDisplay":"10 Hours 35 Mins 33 Secs","nightLengthDisplay":"13 Hours 24 Mins 27 Secs","moonriseLocal":"11:21","moonsetLocal":"22:50","rahuKala":{"name":"Rāhu Kāla","start":"11:58","end":"13:18","startHours":11.968831270066921,"endHours":13.29290254778251,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:00","end":"09:19","startHours":7.996617436920151,"endHours":9.320688714635741,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"11:58","startHours":10.644759992351332,"endHours":11.968831270066921,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:30","startHours":9.144145877606995,"endHours":9.497231551664488,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:07","end":"07:24","startHours":7.113903251776424,"endHours":7.396371791022417,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:19","startHours":11.61574559600943,"endHours":12.321916944124412,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"05:58","startHours":5.260203462974598,"endHours":5.96637481108958,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:40","startHours":5.789831974060834,"endHours":6.672546159204561,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:26","startHours":13.734259640354376,"endHours":14.440430988469357,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.065116380929283,"endHours":17.46511638092928,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:42","startHours":17.265116380929282,"endHours":17.706473473501145,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.015116380929282,"endHours":18.765116380929282,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:19","startHours":23.615745596009432,"endHours":24.32191694412441,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:40","end":"08:00","startHours":6.672546159204561,"endHours":7.996617436920151,"quality":"auspicious"},{"name":"Amṛta","start":"08:00","end":"09:19","startHours":7.996617436920151,"endHours":9.320688714635741,"quality":"auspicious"},{"name":"Kāla","start":"09:19","end":"10:39","startHours":9.320688714635741,"endHours":10.644759992351332,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"11:58","startHours":10.644759992351332,"endHours":11.968831270066921,"quality":"auspicious"},{"name":"Roga","start":"11:58","end":"13:18","startHours":11.968831270066921,"endHours":13.29290254778251,"quality":"inauspicious"},{"name":"Udveg","start":"13:18","end":"14:37","startHours":13.29290254778251,"endHours":14.616973825498102,"quality":"inauspicious"},{"name":"Chala","start":"14:37","end":"15:56","startHours":14.616973825498102,"endHours":15.941045103213693,"quality":"neutral"},{"name":"Labha","start":"15:56","end":"17:16","startHours":15.941045103213693,"endHours":17.265116380929282,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:16","end":"18:56","startHours":17.265116380929282,"endHours":18.941045103213693,"quality":"inauspicious"},{"name":"Chala","start":"18:56","end":"20:37","startHours":18.941045103213693,"endHours":20.6169738254981,"quality":"neutral"},{"name":"Labha","start":"20:37","end":"22:18","startHours":20.6169738254981,"endHours":22.29290254778251,"quality":"auspicious"},{"name":"Amṛta","start":"22:18","end":"23:58","startHours":22.29290254778251,"endHours":23.96883127006692,"quality":"auspicious"},{"name":"Kāla","start":"23:58","end":"01:39","startHours":23.96883127006692,"endHours":25.644759992351332,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:19","startHours":25.644759992351332,"endHours":27.320688714635743,"quality":"auspicious"},{"name":"Roga","start":"03:19","end":"05:00","startHours":27.320688714635743,"endHours":28.99661743692015,"quality":"inauspicious"},{"name":"Udveg","start":"05:00","end":"06:40","startHours":28.99661743692015,"endHours":30.67254615920456,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:40","end":"07:40","startHours":6.672546159204561,"endHours":7.672546159204561,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:40","end":"08:40","startHours":7.672546159204561,"endHours":8.672546159204561,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:40","end":"09:40","startHours":8.672546159204561,"endHours":9.672546159204561,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:40","end":"10:40","startHours":9.672546159204561,"endHours":10.672546159204561,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:40","end":"11:40","startHours":10.672546159204561,"endHours":11.672546159204561,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:40","end":"12:40","startHours":11.672546159204561,"endHours":12.672546159204561,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:40","end":"13:40","startHours":12.672546159204561,"endHours":13.672546159204561,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:40","end":"14:40","startHours":13.672546159204561,"endHours":14.672546159204561,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:40","end":"15:40","startHours":14.672546159204561,"endHours":15.672546159204561,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:40","end":"16:40","startHours":15.672546159204561,"endHours":16.67254615920456,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:40","end":"17:40","startHours":16.67254615920456,"endHours":17.67254615920456,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:40","end":"18:40","startHours":17.67254615920456,"endHours":18.67254615920456,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:40","end":"19:40","startHours":18.67254615920456,"endHours":19.67254615920456,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:40","end":"20:40","startHours":19.67254615920456,"endHours":20.67254615920456,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:40","end":"21:40","startHours":20.67254615920456,"endHours":21.67254615920456,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:40","end":"22:40","startHours":21.67254615920456,"endHours":22.67254615920456,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:40","end":"23:40","startHours":22.67254615920456,"endHours":23.67254615920456,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:40","end":"00:40","startHours":23.67254615920456,"endHours":24.67254615920456,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:40","end":"01:40","startHours":24.67254615920456,"endHours":25.67254615920456,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:40","end":"02:40","startHours":25.67254615920456,"endHours":26.67254615920456,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:40","end":"03:40","startHours":26.67254615920456,"endHours":27.67254615920456,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:40","end":"04:40","startHours":27.67254615920456,"endHours":28.67254615920456,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:40","end":"05:40","startHours":28.67254615920456,"endHours":29.67254615920456,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:40","end":"06:40","startHours":29.67254615920456,"endHours":30.67254615920456,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.984976855748883,"eotMinutes":-0.025476204015291604,"ayanamsa":-47.8939}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Saptamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"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":"Budhavāra (Wednesday) — 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 December 24, 3138 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 24, 3138 BCE for Vārāṇasī (Kāśī): Śukla Saptamī, sūryodaya 06:40, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3137-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3137-12-24","sa":"https://sa.vidhyamitra.com/city/varanasi/-3137-12-24","hi":"https://hi.vidhyamitra.com/city/varanasi/-3137-12-24","x-default":"https://vidhyamitra.com/city/varanasi/-3137-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T09:57:10.805Z","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":"2026-09-08T09:57:10.805Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T09:57:10.805Z","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"}}}