{"id":"vidhyamitra:city-day:varanasi:2102-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2102-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-07-31","date_display":"July 31, 2102 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":2102,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489010.770833,"kali_year":5204,"ahargana":1900545.2708,"sun":{"sidereal_longitude":101.482,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":295.3122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.8302,"elapsed_within_tithi_degrees":1.8302},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.3122,"elapsed_within_degrees":1.9789},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.7942},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":2102,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489010.770833,"ahargana":1900545.2708,"kali_year":5204,"ayanamsa_lahiri":25.2859,"grahas":{"sun":{"sidereal_longitude":102.248242,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":296.6722420000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":1.1898},"mars":{"sidereal_longitude":136.916742,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":126.34424200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":228.81504199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":84.380742,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":197.42784200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":279.9655,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":99.9655,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489010.770833,"kali_year":5204,"ahargana":1900545.2708,"sun":{"sidereal_longitude":101.482,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":295.3122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.8302,"elapsed_within_tithi_degrees":1.8302},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.3122,"elapsed_within_degrees":1.9789},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.7942},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.19,"elongation":166.17},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.19,"opposition_distance":13.83}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":1.294,"elongation":2.229},{"offset_days":-1,"type":"lunar","occurs":true,"moon_latitude":0.063,"opposition_distance":0.292},{"offset_days":14,"type":"solar","occurs":true,"moon_latitude":-1.321,"elongation":1.503}]},"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":13.33745554703139,"dayLengthDisplay":"13 Hours 20 Mins 15 Secs","nightLengthDisplay":"10 Hours 39 Mins 45 Secs","moonriseLocal":"19:27","moonsetLocal":"06:37","rahuKala":{"name":"Rāhu Kāla","start":"07:04","end":"08:44","startHours":7.068050411735742,"endHours":8.735232355114665,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:24","end":"12:04","startHours":10.40241429849359,"endHours":12.069596241872514,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:24","startHours":13.736778185251438,"endHours":15.40396012863036,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:57","startHours":8.512941429330809,"endHours":8.957523280898522,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.95659578281646,"endHours":6.31226126407063,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:31","startHours":11.6250143903048,"endHours":12.514178093440227,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:31","startHours":3.6225410620859666,"endHours":4.511704765221392,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:24","startHours":4.289413839437536,"endHours":5.400868468356818,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:11","startHours":14.292505499711076,"endHours":15.181669202846502,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.53832401538821,"endHours":18.938324015388208,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:18","startHours":18.73832401538821,"endHours":19.29405132984785,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.48832401538821,"endHours":20.23832401538821,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:31","startHours":23.625014390304802,"endHours":24.514178093440226,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:24","end":"07:04","startHours":5.400868468356818,"endHours":7.068050411735742,"quality":"auspicious"},{"name":"Kāla","start":"07:04","end":"08:44","startHours":7.068050411735742,"endHours":8.735232355114665,"quality":"inauspicious"},{"name":"Śubha","start":"08:44","end":"10:24","startHours":8.735232355114665,"endHours":10.40241429849359,"quality":"auspicious"},{"name":"Roga","start":"10:24","end":"12:04","startHours":10.40241429849359,"endHours":12.069596241872514,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:44","startHours":12.069596241872514,"endHours":13.736778185251438,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:24","startHours":13.736778185251438,"endHours":15.40396012863036,"quality":"neutral"},{"name":"Labha","start":"15:24","end":"17:04","startHours":15.40396012863036,"endHours":17.071142072009284,"quality":"auspicious"},{"name":"Amṛta","start":"17:04","end":"18:44","startHours":17.071142072009284,"endHours":18.73832401538821,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:44","end":"20:04","startHours":18.73832401538821,"endHours":20.071142072009284,"quality":"neutral"},{"name":"Labha","start":"20:04","end":"21:24","startHours":20.071142072009284,"endHours":21.40396012863036,"quality":"auspicious"},{"name":"Amṛta","start":"21:24","end":"22:44","startHours":21.40396012863036,"endHours":22.73677818525144,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:04","startHours":22.73677818525144,"endHours":24.069596241872514,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:24","startHours":24.069596241872514,"endHours":25.40241429849359,"quality":"auspicious"},{"name":"Roga","start":"01:24","end":"02:44","startHours":25.40241429849359,"endHours":26.735232355114668,"quality":"inauspicious"},{"name":"Udveg","start":"02:44","end":"04:04","startHours":26.735232355114668,"endHours":28.068050411735744,"quality":"inauspicious"},{"name":"Chala","start":"04:04","end":"05:24","startHours":28.068050411735744,"endHours":29.40086846835682,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.400868468356818,"endHours":6.400868468356818,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.400868468356818,"endHours":7.400868468356818,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.400868468356818,"endHours":8.400868468356819,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.400868468356819,"endHours":9.400868468356819,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.400868468356819,"endHours":10.400868468356819,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.400868468356819,"endHours":11.400868468356819,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.400868468356819,"endHours":12.400868468356819,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.400868468356819,"endHours":13.400868468356819,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.400868468356819,"endHours":14.400868468356819,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.400868468356819,"endHours":15.400868468356819,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.400868468356819,"endHours":16.40086846835682,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40086846835682,"endHours":17.40086846835682,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40086846835682,"endHours":18.40086846835682,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40086846835682,"endHours":19.40086846835682,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40086846835682,"endHours":20.40086846835682,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40086846835682,"endHours":21.40086846835682,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40086846835682,"endHours":22.40086846835682,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40086846835682,"endHours":23.40086846835682,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40086846835682,"endHours":24.40086846835682,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40086846835682,"endHours":25.40086846835682,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40086846835682,"endHours":26.40086846835682,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40086846835682,"endHours":27.40086846835682,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40086846835682,"endHours":28.40086846835682,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40086846835682,"endHours":29.40086846835682,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","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":18.384844839889574,"eotMinutes":-6.071374512350812,"ayanamsa":25.2859}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvitīyā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2102 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 31, 2102 CE for Vārāṇasī (Kāśī): Kṛṣṇa Dvitīyā, sūryodaya 05:24, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2102-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2102-07-31","sa":"https://sa.vidhyamitra.com/city/varanasi/2102-07-31","hi":"https://hi.vidhyamitra.com/city/varanasi/2102-07-31","x-default":"https://vidhyamitra.com/city/varanasi/2102-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:37:45.877Z","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":"2026-05-14T14:37:45.877Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:37:45.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}