{"id":"vidhyamitra:city-day:mathura:2016-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2016-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-07-29","date_display":"July 29, 2016 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":2016,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457598.770833,"kali_year":5118,"ahargana":1869133.2708,"sun":{"sidereal_longitude":101.7223,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.1142,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.3918,"elapsed_within_tithi_degrees":10.3918},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.1142,"elapsed_within_degrees":0.1142},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.8365},"karana":{"half_tithi_index":49,"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":2016,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457598.770833,"ahargana":1869133.2708,"kali_year":5118,"ayanamsa_lahiri":24.0845,"grahas":{"sun":{"sidereal_longitude":102.28121199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":39.83471199999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-4.362},"mars":{"sidereal_longitude":214.10031200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":122.97891200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":146.84061199999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":116.374912,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.69351200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":144.3244,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.3244,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2016,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457598.770833,"kali_year":5118,"ahargana":1869133.2708,"sun":{"sidereal_longitude":101.7223,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.1142,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.3918,"elapsed_within_tithi_degrees":10.3918},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.1142,"elapsed_within_degrees":0.1142},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.8365},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.362,"elongation":61.608},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.362,"opposition_distance":118.392}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:25","dayLengthHours":13.48557076312111,"dayLengthDisplay":"13 Hours 29 Mins 08 Secs","nightLengthDisplay":"10 Hours 30 Mins 52 Secs","moonriseLocal":"01:27","moonsetLocal":"15:04","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:25","startHours":10.738517928035632,"endHours":12.424214273425772,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:48","end":"17:29","startHours":15.795606964206048,"endHours":17.48130330959619,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:03","startHours":7.367125237255355,"endHours":9.052821582645493,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.828062069926808,"endHours":9.277581095364178,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.243327673661929,"endHours":6.602942894011825,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.974695247988402,"endHours":12.873733298863142,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.8833527901157345,"endHours":4.782390840990475,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:41","startHours":4.55763132827179,"endHours":5.681428891865216,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.671809400612624,"endHours":15.570847451487364,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.966999654986328,"endHours":19.366999654986326,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:44","startHours":19.166999654986327,"endHours":19.72889843678304,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.916999654986327,"endHours":20.666999654986327,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.9746952479884,"endHours":24.873733298863144,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:41","end":"07:22","startHours":5.681428891865216,"endHours":7.367125237255355,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:03","startHours":7.367125237255355,"endHours":9.052821582645493,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:44","startHours":9.052821582645493,"endHours":10.738517928035632,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:25","startHours":10.738517928035632,"endHours":12.424214273425772,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:07","startHours":12.424214273425772,"endHours":14.10991061881591,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:48","startHours":14.10991061881591,"endHours":15.795606964206048,"quality":"inauspicious"},{"name":"Udveg","start":"15:48","end":"17:29","startHours":15.795606964206048,"endHours":17.48130330959619,"quality":"inauspicious"},{"name":"Chala","start":"17:29","end":"19:10","startHours":17.48130330959619,"endHours":19.166999654986327,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:10","end":"20:29","startHours":19.166999654986327,"endHours":20.48130330959619,"quality":"inauspicious"},{"name":"Udveg","start":"20:29","end":"21:48","startHours":20.48130330959619,"endHours":21.79560696420605,"quality":"inauspicious"},{"name":"Chala","start":"21:48","end":"23:07","startHours":21.79560696420605,"endHours":23.10991061881591,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:25","startHours":23.10991061881591,"endHours":24.424214273425772,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:44","startHours":24.424214273425772,"endHours":25.738517928035634,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:03","startHours":25.738517928035634,"endHours":27.052821582645493,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:22","startHours":27.052821582645493,"endHours":28.367125237255355,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:41","startHours":28.367125237255355,"endHours":29.681428891865217,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.681428891865216,"endHours":6.681428891865216,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.681428891865216,"endHours":7.681428891865216,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.681428891865216,"endHours":8.681428891865217,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.681428891865217,"endHours":9.681428891865217,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.681428891865217,"endHours":10.681428891865217,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.681428891865217,"endHours":11.681428891865217,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.681428891865217,"endHours":12.681428891865217,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.681428891865217,"endHours":13.681428891865217,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.681428891865217,"endHours":14.681428891865217,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.681428891865217,"endHours":15.681428891865217,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.681428891865217,"endHours":16.681428891865217,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.681428891865217,"endHours":17.681428891865217,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.681428891865217,"endHours":18.681428891865217,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.681428891865217,"endHours":19.681428891865217,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.681428891865217,"endHours":20.681428891865217,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.681428891865217,"endHours":21.681428891865217,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.681428891865217,"endHours":22.681428891865217,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.681428891865217,"endHours":23.681428891865217,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.681428891865217,"endHours":24.681428891865217,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.681428891865217,"endHours":25.681428891865217,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.681428891865217,"endHours":26.681428891865217,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.681428891865217,"endHours":27.681428891865217,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.681428891865217,"endHours":28.681428891865217,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.681428891865217,"endHours":29.681428891865217,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","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":18.67947054236225,"eotMinutes":-6.147656405546237,"ayanamsa":24.0845}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Daśamī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"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":"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"mathura"},"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, 2016 CE · Mathurā · Vidhyamitra","description":"July 29, 2016 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2016-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2016-07-29","sa":"https://sa.vidhyamitra.com/city/mathura/2016-07-29","hi":"https://hi.vidhyamitra.com/city/mathura/2016-07-29","x-default":"https://vidhyamitra.com/city/mathura/2016-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:16:45.842Z","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":"2026-05-14T15:16:45.842Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:16:45.842Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}