{"id":"vidhyamitra:city-day:varanasi:2015-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2015-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-07-29","date_display":"July 29, 2015 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":2015,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457232.770833,"kali_year":5117,"ahargana":1868767.2708,"sun":{"sidereal_longitude":101.0183,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":249.1458,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.1275,"elapsed_within_tithi_degrees":4.1275},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.1458,"elapsed_within_degrees":9.1458},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.1641},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2015,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457232.770833,"ahargana":1868767.2708,"kali_year":5117,"ayanamsa_lahiri":24.0705,"grahas":{"sun":{"sidereal_longitude":101.57079599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":249.48719600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":4.4857},"mars":{"sidereal_longitude":88.62059599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":107.21749599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":122.317996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":126.20059600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":214.00789599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":163.7169,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":343.7169,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"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":2015,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457232.770833,"kali_year":5117,"ahargana":1868767.2708,"sun":{"sidereal_longitude":101.0183,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":249.1458,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.1275,"elapsed_within_tithi_degrees":4.1275},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.1458,"elapsed_within_degrees":9.1458},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.1641},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.486,"elongation":148.128},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.486,"opposition_distance":31.872}},"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":"05:23","sunsetLocal":"18:45","solarNoonLocal":"12:04","dayLengthHours":13.371610554536687,"dayLengthDisplay":"13 Hours 22 Mins 18 Secs","nightLengthDisplay":"10 Hours 37 Mins 42 Secs","moonriseLocal":"16:40","moonsetLocal":"03:12","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:45","startHours":12.070867606759105,"endHours":13.74231892607619,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:44","startHours":7.056513648807847,"endHours":8.727964968124933,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:24","end":"12:04","startHours":10.399416287442019,"endHours":12.070867606759105,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:57","startHours":8.505104792215988,"endHours":8.950825144033878,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.942212769263123,"endHours":6.298789050717435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:31","startHours":11.625147254941215,"endHours":12.516587958576995,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:30","startHours":3.602180922219203,"endHours":4.493621625854982,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:23","startHours":4.270761449946038,"endHours":5.385062329490761,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:11","startHours":14.299469365848552,"endHours":15.19091006948433,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.55667288402745,"endHours":18.956672884027448,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:19","startHours":18.75667288402745,"endHours":19.31382332379981,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.50667288402745,"endHours":20.25667288402745,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:31","startHours":23.625147254941215,"endHours":24.516587958576995,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:23","end":"07:03","startHours":5.385062329490761,"endHours":7.056513648807847,"quality":"auspicious"},{"name":"Amṛta","start":"07:03","end":"08:44","startHours":7.056513648807847,"endHours":8.727964968124933,"quality":"auspicious"},{"name":"Kāla","start":"08:44","end":"10:24","startHours":8.727964968124933,"endHours":10.399416287442019,"quality":"inauspicious"},{"name":"Śubha","start":"10:24","end":"12:04","startHours":10.399416287442019,"endHours":12.070867606759105,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:45","startHours":12.070867606759105,"endHours":13.74231892607619,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:25","startHours":13.74231892607619,"endHours":15.413770245393277,"quality":"inauspicious"},{"name":"Chala","start":"15:25","end":"17:05","startHours":15.413770245393277,"endHours":17.085221564710363,"quality":"neutral"},{"name":"Labha","start":"17:05","end":"18:45","startHours":17.085221564710363,"endHours":18.75667288402745,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:45","end":"20:05","startHours":18.75667288402745,"endHours":20.085221564710363,"quality":"inauspicious"},{"name":"Chala","start":"20:05","end":"21:25","startHours":20.085221564710363,"endHours":21.413770245393277,"quality":"neutral"},{"name":"Labha","start":"21:25","end":"22:45","startHours":21.413770245393277,"endHours":22.74231892607619,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:04","startHours":22.74231892607619,"endHours":24.070867606759105,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:24","startHours":24.070867606759105,"endHours":25.39941628744202,"quality":"inauspicious"},{"name":"Śubha","start":"01:24","end":"02:44","startHours":25.39941628744202,"endHours":26.727964968124933,"quality":"auspicious"},{"name":"Roga","start":"02:44","end":"04:03","startHours":26.727964968124933,"endHours":28.056513648807847,"quality":"inauspicious"},{"name":"Udveg","start":"04:03","end":"05:23","startHours":28.056513648807847,"endHours":29.38506232949076,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.385062329490761,"endHours":6.385062329490761,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.385062329490761,"endHours":7.385062329490761,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.385062329490761,"endHours":8.385062329490761,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.385062329490761,"endHours":9.385062329490761,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.385062329490761,"endHours":10.385062329490761,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.385062329490761,"endHours":11.385062329490761,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.385062329490761,"endHours":12.385062329490761,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.385062329490761,"endHours":13.385062329490761,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.385062329490761,"endHours":14.385062329490761,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.385062329490761,"endHours":15.385062329490761,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.385062329490761,"endHours":16.38506232949076,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.38506232949076,"endHours":17.38506232949076,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.38506232949076,"endHours":18.38506232949076,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.38506232949076,"endHours":19.38506232949076,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.38506232949076,"endHours":20.38506232949076,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.38506232949076,"endHours":21.38506232949076,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.38506232949076,"endHours":22.38506232949076,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.38506232949076,"endHours":23.38506232949076,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.38506232949076,"endHours":24.38506232949076,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.38506232949076,"endHours":25.38506232949076,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.38506232949076,"endHours":26.38506232949076,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.38506232949076,"endHours":27.38506232949076,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.38506232949076,"endHours":28.38506232949076,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.38506232949076,"endHours":29.38506232949076,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":18.858350771835585,"eotMinutes":-6.147656405546237,"ayanamsa":24.0705}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":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 29, 2015 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 29, 2015 CE for Vārāṇasī (Kāśī): Śukla Trayodaśī, sūryodaya 05:23, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2015-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2015-07-29","sa":"https://sa.vidhyamitra.com/city/varanasi/2015-07-29","hi":"https://hi.vidhyamitra.com/city/varanasi/2015-07-29","x-default":"https://vidhyamitra.com/city/varanasi/2015-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:38:15.654Z","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":"2026-05-14T11:38:15.654Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:38:15.654Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}