{"id":"vidhyamitra:city-day:varanasi:2011-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2011-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-07-31","date_display":"July 31, 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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455773.770833,"kali_year":5113,"ahargana":1867308.2708,"sun":{"sidereal_longitude":102.9515,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":105.2447,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.2931,"elapsed_within_tithi_degrees":2.2931},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.2447,"elapsed_within_degrees":11.9113},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.1962},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2011,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455773.770833,"ahargana":1867308.2708,"kali_year":5113,"ayanamsa_lahiri":24.0147,"grahas":{"sun":{"sidereal_longitude":103.50664,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":107.02774,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-3.1369},"mars":{"sidereal_longitude":63.522339999999986,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":126.71323999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":14.780340000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":98.81344000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":168.00734,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":241.0217,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.0217,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":"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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455773.770833,"kali_year":5113,"ahargana":1867308.2708,"sun":{"sidereal_longitude":102.9515,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":105.2447,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.2931,"elapsed_within_tithi_degrees":2.2931},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.2447,"elapsed_within_degrees":11.9113},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.1962},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.137,"elongation":2.293},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.137,"opposition_distance":177.707}},"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":"05:24","sunsetLocal":"18:44","solarNoonLocal":"12:04","dayLengthHours":13.337690537466578,"dayLengthDisplay":"13 Hours 20 Mins 16 Secs","nightLengthDisplay":"10 Hours 39 Mins 44 Secs","moonriseLocal":"05:41","moonsetLocal":"18:55","rahuKala":{"name":"Rāhu Kāla","start":"17:04","end":"18:44","startHours":17.07123019342248,"endHours":18.738441510605803,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:44","startHours":12.069596241872514,"endHours":13.736807559055837,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:24","end":"17:04","startHours":15.404018876239158,"endHours":17.07123019342248,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:57","startHours":8.51287876521476,"endHours":8.957468449796979,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.9564880788669985,"endHours":6.312159826532774,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:31","startHours":11.625006557290295,"endHours":12.514185926454733,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:31","startHours":3.6223922348103477,"endHours":4.511571603974787,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:24","startHours":4.289276761683677,"endHours":5.400750973139225,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:11","startHours":14.292544664783609,"endHours":15.181724033948047,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.538441510605804,"endHours":18.938441510605802,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:18","startHours":18.738441510605803,"endHours":19.29417861633358,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.488441510605803,"endHours":20.238441510605803,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:31","startHours":23.625006557290295,"endHours":24.514185926454733,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:24","end":"07:04","startHours":5.400750973139225,"endHours":7.067962290322547,"quality":"inauspicious"},{"name":"Chala","start":"07:04","end":"08:44","startHours":7.067962290322547,"endHours":8.73517360750587,"quality":"neutral"},{"name":"Labha","start":"08:44","end":"10:24","startHours":8.73517360750587,"endHours":10.40238492468919,"quality":"auspicious"},{"name":"Amṛta","start":"10:24","end":"12:04","startHours":10.40238492468919,"endHours":12.069596241872514,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:44","startHours":12.069596241872514,"endHours":13.736807559055837,"quality":"inauspicious"},{"name":"Śubha","start":"13:44","end":"15:24","startHours":13.736807559055837,"endHours":15.404018876239158,"quality":"auspicious"},{"name":"Roga","start":"15:24","end":"17:04","startHours":15.404018876239158,"endHours":17.07123019342248,"quality":"inauspicious"},{"name":"Udveg","start":"17:04","end":"18:44","startHours":17.07123019342248,"endHours":18.738441510605803,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:44","end":"20:04","startHours":18.738441510605803,"endHours":20.07123019342248,"quality":"auspicious"},{"name":"Roga","start":"20:04","end":"21:24","startHours":20.07123019342248,"endHours":21.404018876239157,"quality":"inauspicious"},{"name":"Udveg","start":"21:24","end":"22:44","startHours":21.404018876239157,"endHours":22.736807559055837,"quality":"inauspicious"},{"name":"Chala","start":"22:44","end":"00:04","startHours":22.736807559055837,"endHours":24.069596241872514,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:24","startHours":24.069596241872514,"endHours":25.40238492468919,"quality":"auspicious"},{"name":"Amṛta","start":"01:24","end":"02:44","startHours":25.40238492468919,"endHours":26.73517360750587,"quality":"auspicious"},{"name":"Kāla","start":"02:44","end":"04:04","startHours":26.73517360750587,"endHours":28.067962290322548,"quality":"inauspicious"},{"name":"Śubha","start":"04:04","end":"05:24","startHours":28.067962290322548,"endHours":29.400750973139225,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.400750973139225,"endHours":6.400750973139225,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.400750973139225,"endHours":7.400750973139225,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.400750973139225,"endHours":8.400750973139225,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.400750973139225,"endHours":9.400750973139225,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.400750973139225,"endHours":10.400750973139225,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.400750973139225,"endHours":11.400750973139225,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.400750973139225,"endHours":12.400750973139225,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.400750973139225,"endHours":13.400750973139225,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.400750973139225,"endHours":14.400750973139225,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.400750973139225,"endHours":15.400750973139225,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.400750973139225,"endHours":16.400750973139225,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.400750973139225,"endHours":17.400750973139225,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.400750973139225,"endHours":18.400750973139225,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.400750973139225,"endHours":19.400750973139225,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.400750973139225,"endHours":20.400750973139225,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.400750973139225,"endHours":21.400750973139225,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.400750973139225,"endHours":22.400750973139225,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.400750973139225,"endHours":23.400750973139225,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.400750973139225,"endHours":24.400750973139225,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.400750973139225,"endHours":25.400750973139225,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.400750973139225,"endHours":26.400750973139225,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.400750973139225,"endHours":27.400750973139225,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.400750973139225,"endHours":28.400750973139225,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.400750973139225,"endHours":29.400750973139225,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.388113323688504,"eotMinutes":-6.071374512350812,"ayanamsa":24.0147}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 July 31, 2011 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 31, 2011 CE for Vārāṇasī (Kāśī): Śukla Pratipada, sūryodaya 05:24, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2011-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2011-07-31","sa":"https://sa.vidhyamitra.com/city/varanasi/2011-07-31","hi":"https://hi.vidhyamitra.com/city/varanasi/2011-07-31","x-default":"https://vidhyamitra.com/city/varanasi/2011-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T10:57:53.749Z","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":"2026-05-14T10:57:53.749Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T10:57:53.749Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}