{"id":"vidhyamitra:city-day:vrindavan:2113-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2113-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-28","date_display":"July 28, 2113 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":2113,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493025.770833,"kali_year":5215,"ahargana":1904560.2708,"sun":{"sidereal_longitude":98.7794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.1736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.3941,"elapsed_within_tithi_degrees":3.3941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1736,"elapsed_within_degrees":3.5069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.953},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2113,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493025.770833,"ahargana":1904560.2708,"kali_year":5215,"ayanamsa_lahiri":25.4395,"grahas":{"sun":{"sidereal_longitude":99.55484000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":271.67314,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.7526},"mars":{"sidereal_longitude":106.13153999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":90.02404000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":201.31513999999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":64.25923999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":332.25194,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.2315,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.2315,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493025.770833,"kali_year":5215,"ahargana":1904560.2708,"sun":{"sidereal_longitude":98.7794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.1736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.3941,"elapsed_within_tithi_degrees":3.3941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1736,"elapsed_within_degrees":3.5069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.953},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.753,"elongation":171.394},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.753,"opposition_distance":8.606}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:40","sunsetLocal":"19:11","solarNoonLocal":"12:26","dayLengthHours":13.51680873070028,"dayLengthDisplay":"13 Hours 31 Mins 01 Secs","nightLengthDisplay":"10 Hours 28 Mins 59 Secs","moonriseLocal":"18:37","moonsetLocal":"05:11","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:26","startHours":10.735951453269152,"endHours":12.425552544606685,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:48","end":"17:30","startHours":15.804754727281757,"endHours":17.49435581861929,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:21","end":"09:03","startHours":7.356749270594081,"endHours":9.046350361931616,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:16","startHours":8.821070216419944,"endHours":9.271630507443287,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.230348543035724,"endHours":6.590796775854399,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.974992253583343,"endHours":12.87611283563003,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:46","startHours":3.8649070151631753,"endHours":4.7660275972098605,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:40","startHours":4.540747451698189,"endHours":5.667148179256546,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:35","startHours":14.678353999723399,"endHours":15.579474581770084,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.983956909956827,"endHours":19.383956909956826,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.183956909956827,"endHours":19.747157273736004,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.933956909956827,"endHours":20.683956909956827,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.974992253583345,"endHours":24.876112835630032,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:40","end":"07:21","startHours":5.667148179256546,"endHours":7.356749270594081,"quality":"neutral"},{"name":"Labha","start":"07:21","end":"09:03","startHours":7.356749270594081,"endHours":9.046350361931616,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:44","startHours":9.046350361931616,"endHours":10.735951453269152,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:26","startHours":10.735951453269152,"endHours":12.425552544606685,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"14:07","startHours":12.425552544606685,"endHours":14.115153635944221,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:48","startHours":14.115153635944221,"endHours":15.804754727281757,"quality":"inauspicious"},{"name":"Udveg","start":"15:48","end":"17:30","startHours":15.804754727281757,"endHours":17.49435581861929,"quality":"inauspicious"},{"name":"Chala","start":"17:30","end":"19:11","startHours":17.49435581861929,"endHours":19.183956909956827,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:11","end":"20:30","startHours":19.183956909956827,"endHours":20.49435581861929,"quality":"inauspicious"},{"name":"Udveg","start":"20:30","end":"21:48","startHours":20.49435581861929,"endHours":21.804754727281757,"quality":"inauspicious"},{"name":"Chala","start":"21:48","end":"23:07","startHours":21.804754727281757,"endHours":23.11515363594422,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:26","startHours":23.11515363594422,"endHours":24.42555254460669,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"01:44","startHours":24.42555254460669,"endHours":25.735951453269152,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:03","startHours":25.735951453269152,"endHours":27.046350361931616,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:21","startHours":27.046350361931616,"endHours":28.35674927059408,"quality":"auspicious"},{"name":"Roga","start":"04:21","end":"05:40","startHours":28.35674927059408,"endHours":29.667148179256547,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.667148179256546,"endHours":6.667148179256546,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.667148179256546,"endHours":7.667148179256546,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.667148179256546,"endHours":8.667148179256547,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.667148179256547,"endHours":9.667148179256547,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.667148179256547,"endHours":10.667148179256547,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.667148179256547,"endHours":11.667148179256547,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.667148179256547,"endHours":12.667148179256547,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.667148179256547,"endHours":13.667148179256547,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.667148179256547,"endHours":14.667148179256547,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.667148179256547,"endHours":15.667148179256547,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.667148179256547,"endHours":16.667148179256547,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.667148179256547,"endHours":17.667148179256547,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.667148179256547,"endHours":18.667148179256547,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.667148179256547,"endHours":19.667148179256547,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.667148179256547,"endHours":20.667148179256547,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.667148179256547,"endHours":21.667148179256547,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.667148179256547,"endHours":22.667148179256547,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.667148179256547,"endHours":23.667148179256547,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.667148179256547,"endHours":24.667148179256547,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.667148179256547,"endHours":25.667148179256547,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.667148179256547,"endHours":26.667148179256547,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.667148179256547,"endHours":27.667148179256547,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.667148179256547,"endHours":28.667148179256547,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.667148179256547,"endHours":29.667148179256547,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","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":19.015618968748036,"eotMinutes":-6.170352676401169,"ayanamsa":25.4395}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"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":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 28, 2113 CE · Vṛndāvana · Vidhyamitra","description":"July 28, 2113 CE for Vṛndāvana: Śukla Pūrṇimā, sūryodaya 05:40, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2113-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2113-07-28","sa":"https://sa.vidhyamitra.com/city/vrindavan/2113-07-28","hi":"https://hi.vidhyamitra.com/city/vrindavan/2113-07-28","x-default":"https://vidhyamitra.com/city/vrindavan/2113-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T15:48:17.092Z","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":"2026-05-22T15:48:17.092Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T15:48:17.092Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}