{"id":"vidhyamitra:city-day:varanasi:-3110-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3110-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3110-01-21","date_display":"January 21, 3111 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":-3110,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585150.770833,"kali_year":-9,"ahargana":-3314.7292,"sun":{"sidereal_longitude":335.315,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":242.8635,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.5485,"elapsed_within_tithi_degrees":3.5485},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8635,"elapsed_within_degrees":2.8635},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.1785},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3110,"month":1,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585150.770833,"ahargana":-3314.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5296,"grahas":{"sun":{"sidereal_longitude":335.315,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":242.8635,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-4.1488},"mars":{"sidereal_longitude":38.919,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":345.4497,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":78.93,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":18.3352,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":253.2676,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":355.6303,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":175.6303,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3110,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585150.770833,"kali_year":-9,"ahargana":-3314.7292,"sun":{"sidereal_longitude":335.315,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":242.8635,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.5485,"elapsed_within_tithi_degrees":3.5485},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8635,"elapsed_within_degrees":2.8635},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.1785},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.149,"elongation":92.452},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.149,"opposition_distance":87.548}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-0.976,"elongation":0.469}]},"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":"06:50","sunsetLocal":"17:29","solarNoonLocal":"12:09","dayLengthHours":10.6468115179379,"dayLengthDisplay":"10 Hours 38 Mins 49 Secs","nightLengthDisplay":"13 Hours 21 Mins 11 Secs","moonriseLocal":"00:08","moonsetLocal":"11:51","rahuKala":{"name":"Rāhu Kāla","start":"08:10","end":"09:30","startHours":8.163447868258825,"endHours":9.494299308001061,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:50","end":"12:09","startHours":10.825150747743299,"endHours":12.156002187485537,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:49","startHours":13.486853627227774,"endHours":14.817705066970012,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:40","startHours":9.316852449368763,"endHours":9.67174616663336,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:34","startHours":7.276213575097332,"endHours":7.5601285489090095,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:31","startHours":11.801108470220939,"endHours":12.510895904750132,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:07","startHours":5.413021559458199,"endHours":6.122808993987393,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:57","end":"06:50","startHours":5.9453621353550945,"endHours":6.832596428516586,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.93047077380852,"endHours":14.640258208337713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.279407946454487,"endHours":17.679407946454486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.479407946454486,"endHours":17.923025093035232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.229407946454486,"endHours":18.979407946454486,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:31","startHours":23.80110847022094,"endHours":24.51089590475013,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:50","end":"08:10","startHours":6.832596428516586,"endHours":8.163447868258825,"quality":"auspicious"},{"name":"Kāla","start":"08:10","end":"09:30","startHours":8.163447868258825,"endHours":9.494299308001061,"quality":"inauspicious"},{"name":"Śubha","start":"09:30","end":"10:50","startHours":9.494299308001061,"endHours":10.825150747743299,"quality":"auspicious"},{"name":"Roga","start":"10:50","end":"12:09","startHours":10.825150747743299,"endHours":12.156002187485537,"quality":"inauspicious"},{"name":"Udveg","start":"12:09","end":"13:29","startHours":12.156002187485537,"endHours":13.486853627227774,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:49","startHours":13.486853627227774,"endHours":14.817705066970012,"quality":"neutral"},{"name":"Labha","start":"14:49","end":"16:09","startHours":14.817705066970012,"endHours":16.148556506712247,"quality":"auspicious"},{"name":"Amṛta","start":"16:09","end":"17:29","startHours":16.148556506712247,"endHours":17.479407946454486,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:29","end":"19:09","startHours":17.479407946454486,"endHours":19.14855650671225,"quality":"neutral"},{"name":"Labha","start":"19:09","end":"20:49","startHours":19.14855650671225,"endHours":20.81770506697001,"quality":"auspicious"},{"name":"Amṛta","start":"20:49","end":"22:29","startHours":20.81770506697001,"endHours":22.486853627227774,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:09","startHours":22.486853627227774,"endHours":24.156002187485537,"quality":"inauspicious"},{"name":"Śubha","start":"00:09","end":"01:50","startHours":24.156002187485537,"endHours":25.8251507477433,"quality":"auspicious"},{"name":"Roga","start":"01:50","end":"03:30","startHours":25.8251507477433,"endHours":27.49429930800106,"quality":"inauspicious"},{"name":"Udveg","start":"03:30","end":"05:10","startHours":27.49429930800106,"endHours":29.163447868258825,"quality":"inauspicious"},{"name":"Chala","start":"05:10","end":"06:50","startHours":29.163447868258825,"endHours":30.832596428516588,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.832596428516586,"endHours":7.832596428516586,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.832596428516586,"endHours":8.832596428516586,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.832596428516586,"endHours":9.832596428516586,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.832596428516586,"endHours":10.832596428516586,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.832596428516586,"endHours":11.832596428516586,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.832596428516586,"endHours":12.832596428516586,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.832596428516586,"endHours":13.832596428516586,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.832596428516586,"endHours":14.832596428516586,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.832596428516586,"endHours":15.832596428516586,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.832596428516586,"endHours":16.832596428516588,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.832596428516588,"endHours":17.832596428516588,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.832596428516588,"endHours":18.832596428516588,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.832596428516588,"endHours":19.832596428516588,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.832596428516588,"endHours":20.832596428516588,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.832596428516588,"endHours":21.832596428516588,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.832596428516588,"endHours":22.832596428516588,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.832596428516588,"endHours":23.832596428516588,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.832596428516588,"endHours":24.832596428516588,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.832596428516588,"endHours":25.832596428516588,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.832596428516588,"endHours":26.832596428516588,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.832596428516588,"endHours":27.832596428516588,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.832596428516588,"endHours":28.832596428516588,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.832596428516588,"endHours":29.832596428516588,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.832596428516588,"endHours":30.832596428516588,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.254650342026842,"eotMinutes":-11.255731249132124,"ayanamsa":-47.5296}},"calendars":{"vikram_samvat":-3053,"saka_samvat":-3188,"bengali_samvat":-3703,"malayalam_era":-3934,"nanakshahi_year":-4579,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Aṣṭamī · Vikram -3053 undefined · Śaka -3188 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 January 21, 3111 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 21, 3111 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Aṣṭamī, sūryodaya 06:50, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3110-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3110-01-21","sa":"https://sa.vidhyamitra.com/city/varanasi/-3110-01-21","hi":"https://hi.vidhyamitra.com/city/varanasi/-3110-01-21","x-default":"https://vidhyamitra.com/city/varanasi/-3110-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T10:08:12.436Z","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":"2026-08-13T10:08:12.436Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T10:08:12.436Z","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"}}}