{"id":"vidhyamitra:city-day:varanasi:2011-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2011-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-10-15","date_display":"October 15, 2011 CE","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2011,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455849.770833,"kali_year":5113,"ahargana":1867384.2708,"sun":{"sidereal_longitude":176.5574,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":31.7028,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.1454,"elapsed_within_tithi_degrees":11.1454},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.7028,"elapsed_within_degrees":5.0361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.2601},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2011,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455849.770833,"ahargana":1867384.2708,"kali_year":5113,"ayanamsa_lahiri":24.0176,"grahas":{"sun":{"sidereal_longitude":177.32083599999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":29.428435999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":1.9209},"mars":{"sidereal_longitude":111.158636,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":188.22893599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":13.000835999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":193.04743600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":176.03983600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":236.9948,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":56.9948,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2011,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455849.770833,"kali_year":5113,"ahargana":1867384.2708,"sun":{"sidereal_longitude":176.5574,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":31.7028,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.1454,"elapsed_within_tithi_degrees":11.1454},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.7028,"elapsed_within_degrees":5.0361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.2601},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.921,"elongation":144.855},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.921,"opposition_distance":35.145}},"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":"05:55","sunsetLocal":"17:31","solarNoonLocal":"11:43","dayLengthHours":11.595376667575124,"dayLengthDisplay":"11 Hours 35 Mins 43 Secs","nightLengthDisplay":"12 Hours 24 Mins 17 Secs","moonriseLocal":"19:12","moonsetLocal":"08:31","rahuKala":{"name":"Rāhu Kāla","start":"08:49","end":"10:16","startHours":8.821948660251085,"endHours":10.271370743697975,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:10","end":"14:37","startHours":13.170214910591756,"endHours":14.619636994038647,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:55","end":"07:22","startHours":5.923104493357303,"endHours":7.372526576804193,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:01","startHours":8.628692382458166,"endHours":9.015204938044002,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.4062451878396,"endHours":6.71545523230827,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:06","startHours":11.33428027155903,"endHours":12.107305382730702,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:09","startHours":4.377054271013953,"endHours":5.150079382185628,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:55","startHours":4.95682310439271,"endHours":5.923104493357303,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:26","startHours":13.653355605074053,"endHours":14.426380716245728,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.31848116093243,"endHours":17.718481160932427,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"18:00","startHours":17.518481160932428,"endHours":18.001621855414726,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.268481160932428,"endHours":19.018481160932428,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:06","startHours":23.334280271559027,"endHours":24.107305382730704,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:55","end":"07:22","startHours":5.923104493357303,"endHours":7.372526576804193,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"08:49","startHours":7.372526576804193,"endHours":8.821948660251085,"quality":"auspicious"},{"name":"Roga","start":"08:49","end":"10:16","startHours":8.821948660251085,"endHours":10.271370743697975,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:43","startHours":10.271370743697975,"endHours":11.720792827144866,"quality":"inauspicious"},{"name":"Chala","start":"11:43","end":"13:10","startHours":11.720792827144866,"endHours":13.170214910591756,"quality":"neutral"},{"name":"Labha","start":"13:10","end":"14:37","startHours":13.170214910591756,"endHours":14.619636994038647,"quality":"auspicious"},{"name":"Amṛta","start":"14:37","end":"16:04","startHours":14.619636994038647,"endHours":16.069059077485537,"quality":"auspicious"},{"name":"Kāla","start":"16:04","end":"17:31","startHours":16.069059077485537,"endHours":17.518481160932428,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:31","end":"19:04","startHours":17.518481160932428,"endHours":19.069059077485537,"quality":"auspicious"},{"name":"Amṛta","start":"19:04","end":"20:37","startHours":19.069059077485537,"endHours":20.619636994038647,"quality":"auspicious"},{"name":"Kāla","start":"20:37","end":"22:10","startHours":20.619636994038647,"endHours":22.170214910591756,"quality":"inauspicious"},{"name":"Śubha","start":"22:10","end":"23:43","startHours":22.170214910591756,"endHours":23.720792827144866,"quality":"auspicious"},{"name":"Roga","start":"23:43","end":"01:16","startHours":23.720792827144866,"endHours":25.271370743697975,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:49","startHours":25.271370743697975,"endHours":26.821948660251085,"quality":"inauspicious"},{"name":"Chala","start":"02:49","end":"04:22","startHours":26.821948660251085,"endHours":28.372526576804194,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:55","startHours":28.372526576804194,"endHours":29.923104493357304,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.923104493357303,"endHours":6.923104493357303,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.923104493357303,"endHours":7.923104493357303,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.923104493357303,"endHours":8.923104493357304,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.923104493357304,"endHours":9.923104493357304,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.923104493357304,"endHours":10.923104493357304,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.923104493357304,"endHours":11.923104493357304,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.923104493357304,"endHours":12.923104493357304,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.923104493357304,"endHours":13.923104493357304,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.923104493357304,"endHours":14.923104493357304,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.923104493357304,"endHours":15.923104493357304,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.923104493357304,"endHours":16.923104493357304,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.923104493357304,"endHours":17.923104493357304,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.923104493357304,"endHours":18.923104493357304,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.923104493357304,"endHours":19.923104493357304,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.923104493357304,"endHours":20.923104493357304,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.923104493357304,"endHours":21.923104493357304,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.923104493357304,"endHours":22.923104493357304,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.923104493357304,"endHours":23.923104493357304,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.923104493357304,"endHours":24.923104493357304,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.923104493357304,"endHours":25.923104493357304,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.923104493357304,"endHours":26.923104493357304,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.923104493357304,"endHours":27.923104493357304,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.923104493357304,"endHours":28.923104493357304,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.923104493357304,"endHours":29.923104493357304,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.321375751215808,"eotMinutes":14.85683037130801,"ayanamsa":24.0176}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Tṛtīyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"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 October 15, 2011 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 15, 2011 CE for Vārāṇasī (Kāśī): Kṛṣṇa Tṛtīyā, sūryodaya 05:55, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2011-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2011-10-15","sa":"https://sa.vidhyamitra.com/city/varanasi/2011-10-15","hi":"https://hi.vidhyamitra.com/city/varanasi/2011-10-15","x-default":"https://vidhyamitra.com/city/varanasi/2011-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:42:52.113Z","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":"2026-05-14T17:42:52.113Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:42:52.113Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}