{"id":"vidhyamitra:city-day:vrindavan:2050-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2050-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-29","date_display":"July 29, 2050 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":2050,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470016.770833,"kali_year":5152,"ahargana":1881551.2708,"sun":{"sidereal_longitude":100.9647,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":216.8351,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.8704,"elapsed_within_tithi_degrees":7.8704},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":216.8351,"elapsed_within_degrees":3.5018},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.7997},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2050,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470016.770833,"ahargana":1881551.2708,"kali_year":5152,"ayanamsa_lahiri":24.5595,"grahas":{"sun":{"sidereal_longitude":101.60175300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":214.93585299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":0.8174},"mars":{"sidereal_longitude":300.16325299999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":128.05125299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":107.990253,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":146.36035300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":280.248253,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.359,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":26.359,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470016.770833,"kali_year":5152,"ahargana":1881551.2708,"sun":{"sidereal_longitude":100.9647,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":216.8351,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.8704,"elapsed_within_tithi_degrees":7.8704},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":216.8351,"elapsed_within_degrees":3.5018},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.7997},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.817,"elongation":115.87},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.817,"opposition_distance":64.13}},"eclipse_window_40days":[]},"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":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:26","dayLengthHours":13.493958137191242,"dayLengthDisplay":"13 Hours 29 Mins 38 Secs","nightLengthDisplay":"10 Hours 30 Mins 22 Secs","moonriseLocal":"14:40","moonsetLocal":"01:18","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:26","startHours":10.738429506276866,"endHours":12.425174273425771,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:48","end":"17:29","startHours":15.798663807723582,"endHours":17.485408574872487,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:03","startHours":7.364939971979055,"endHours":9.05168473912796,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.82678543684144,"endHours":9.27658404141448,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:36","startHours":6.240443460546452,"endHours":6.600282344204885,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.97537566885273,"endHours":12.874972877998813,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.879000786537984,"endHours":4.778597995684067,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:41","startHours":4.553698693397546,"endHours":5.67819520483015,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.674167296290978,"endHours":15.573764505437062,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.972153342021393,"endHours":19.37215334202139,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:44","startHours":19.172153342021392,"endHours":19.734401597737694,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.922153342021392,"endHours":20.672153342021392,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.97537566885273,"endHours":24.87497287799881,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:41","end":"07:22","startHours":5.67819520483015,"endHours":7.364939971979055,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:03","startHours":7.364939971979055,"endHours":9.05168473912796,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:44","startHours":9.05168473912796,"endHours":10.738429506276866,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:26","startHours":10.738429506276866,"endHours":12.425174273425771,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"14:07","startHours":12.425174273425771,"endHours":14.111919040574676,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:48","startHours":14.111919040574676,"endHours":15.798663807723582,"quality":"inauspicious"},{"name":"Udveg","start":"15:48","end":"17:29","startHours":15.798663807723582,"endHours":17.485408574872487,"quality":"inauspicious"},{"name":"Chala","start":"17:29","end":"19:10","startHours":17.485408574872487,"endHours":19.172153342021392,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:10","end":"20:29","startHours":19.172153342021392,"endHours":20.485408574872487,"quality":"inauspicious"},{"name":"Udveg","start":"20:29","end":"21:48","startHours":20.485408574872487,"endHours":21.79866380772358,"quality":"inauspicious"},{"name":"Chala","start":"21:48","end":"23:07","startHours":21.79866380772358,"endHours":23.111919040574676,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:26","startHours":23.111919040574676,"endHours":24.42517427342577,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"01:44","startHours":24.42517427342577,"endHours":25.738429506276866,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:03","startHours":25.738429506276866,"endHours":27.05168473912796,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:22","startHours":27.05168473912796,"endHours":28.364939971979055,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:41","startHours":28.364939971979055,"endHours":29.67819520483015,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.67819520483015,"endHours":6.67819520483015,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.67819520483015,"endHours":7.67819520483015,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.67819520483015,"endHours":8.67819520483015,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.67819520483015,"endHours":9.67819520483015,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.67819520483015,"endHours":10.67819520483015,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.67819520483015,"endHours":11.67819520483015,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.67819520483015,"endHours":12.67819520483015,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.67819520483015,"endHours":13.67819520483015,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.67819520483015,"endHours":14.67819520483015,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.67819520483015,"endHours":15.67819520483015,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.67819520483015,"endHours":16.67819520483015,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.67819520483015,"endHours":17.67819520483015,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.67819520483015,"endHours":18.67819520483015,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.67819520483015,"endHours":19.67819520483015,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.67819520483015,"endHours":20.67819520483015,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.67819520483015,"endHours":21.67819520483015,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.67819520483015,"endHours":22.67819520483015,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.67819520483015,"endHours":23.67819520483015,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.67819520483015,"endHours":24.67819520483015,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.67819520483015,"endHours":25.67819520483015,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.67819520483015,"endHours":26.67819520483015,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.67819520483015,"endHours":27.67819520483015,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.67819520483015,"endHours":28.67819520483015,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.67819520483015,"endHours":29.67819520483015,"planetary_lord":"Mars"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.730253435126706,"eotMinutes":-6.147656405546237,"ayanamsa":24.5595}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Śukla Daśamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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":[]},"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 29, 2050 CE · Vṛndāvana · Vidhyamitra","description":"July 29, 2050 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2050-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2050-07-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2050-07-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2050-07-29","x-default":"https://vidhyamitra.com/city/vrindavan/2050-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:08:47.952Z","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":"2026-05-31T16:08:47.952Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:08:47.952Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}