{"id":"vidhyamitra:city-day:mathura:2085-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2085-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-07-20","date_display":"July 20, 2085 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":2085,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482791.770833,"kali_year":5187,"ahargana":1894326.2708,"sun":{"sidereal_longitude":92.3729,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.8185,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4456,"elapsed_within_tithi_degrees":5.4456},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.8185,"elapsed_within_degrees":7.1518},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.1914},"karana":{"half_tithi_index":56,"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":2085,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482791.770833,"ahargana":1894326.2708,"kali_year":5187,"ayanamsa_lahiri":25.0481,"grahas":{"sun":{"sidereal_longitude":93.036854,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":74.17475400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-0.3402},"mars":{"sidereal_longitude":123.61055399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":86.28565400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":91.39325400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":126.12895400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":351.333154,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":249.478,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.478,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"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":2085,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482791.770833,"kali_year":5187,"ahargana":1894326.2708,"sun":{"sidereal_longitude":92.3729,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":73.8185,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4456,"elapsed_within_tithi_degrees":5.4456},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.8185,"elapsed_within_degrees":7.1518},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.1914},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.34,"elongation":18.554},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.34,"opposition_distance":161.446}},"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":"05:36","sunsetLocal":"19:14","solarNoonLocal":"12:25","dayLengthHours":13.63592596723018,"dayLengthDisplay":"13 Hours 38 Mins 09 Secs","nightLengthDisplay":"10 Hours 21 Mins 51 Secs","moonriseLocal":"04:16","moonsetLocal":"18:04","rahuKala":{"name":"Rāhu Kāla","start":"10:43","end":"12:25","startHours":10.717166274348852,"endHours":12.421657020252624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:50","end":"17:32","startHours":15.830638512060169,"endHours":17.53512925796394,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:18","end":"09:01","startHours":7.308184782541305,"endHours":9.012675528445078,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.785410095657909,"endHours":9.239940961232248,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.171857618605457,"endHours":6.5354823110649285,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.967126154678285,"endHours":12.876187885826964,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:42","startHours":3.7855705743401753,"endHours":4.694632305488854,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.467366872701684,"endHours":5.603694036637533,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.69431134812432,"endHours":15.603373079272998,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.039620003867714,"endHours":19.439620003867713,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:48","startHours":19.239620003867714,"endHours":19.807783585835637,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.989620003867714,"endHours":20.739620003867714,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.967126154678287,"endHours":24.876187885826962,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:36","end":"07:18","startHours":5.603694036637533,"endHours":7.308184782541305,"quality":"neutral"},{"name":"Labha","start":"07:18","end":"09:01","startHours":7.308184782541305,"endHours":9.012675528445078,"quality":"auspicious"},{"name":"Amṛta","start":"09:01","end":"10:43","startHours":9.012675528445078,"endHours":10.717166274348852,"quality":"auspicious"},{"name":"Kāla","start":"10:43","end":"12:25","startHours":10.717166274348852,"endHours":12.421657020252624,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.126147766156397,"quality":"auspicious"},{"name":"Roga","start":"14:08","end":"15:50","startHours":14.126147766156397,"endHours":15.830638512060169,"quality":"inauspicious"},{"name":"Udveg","start":"15:50","end":"17:32","startHours":15.830638512060169,"endHours":17.53512925796394,"quality":"inauspicious"},{"name":"Chala","start":"17:32","end":"19:14","startHours":17.53512925796394,"endHours":19.239620003867714,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:14","end":"20:32","startHours":19.239620003867714,"endHours":20.53512925796394,"quality":"inauspicious"},{"name":"Udveg","start":"20:32","end":"21:50","startHours":20.53512925796394,"endHours":21.83063851206017,"quality":"inauspicious"},{"name":"Chala","start":"21:50","end":"23:08","startHours":21.83063851206017,"endHours":23.126147766156397,"quality":"neutral"},{"name":"Labha","start":"23:08","end":"00:25","startHours":23.126147766156397,"endHours":24.421657020252624,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.717166274348852,"quality":"auspicious"},{"name":"Kāla","start":"01:43","end":"03:01","startHours":25.717166274348852,"endHours":27.01267552844508,"quality":"inauspicious"},{"name":"Śubha","start":"03:01","end":"04:18","startHours":27.01267552844508,"endHours":28.308184782541304,"quality":"auspicious"},{"name":"Roga","start":"04:18","end":"05:36","startHours":28.308184782541304,"endHours":29.603694036637535,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.603694036637533,"endHours":6.603694036637533,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.603694036637533,"endHours":7.603694036637533,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.603694036637533,"endHours":8.603694036637533,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.603694036637533,"endHours":9.603694036637533,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.603694036637533,"endHours":10.603694036637533,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.603694036637533,"endHours":11.603694036637533,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.603694036637533,"endHours":12.603694036637533,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.603694036637533,"endHours":13.603694036637533,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.603694036637533,"endHours":14.603694036637533,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.603694036637533,"endHours":15.603694036637533,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.603694036637533,"endHours":16.603694036637535,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.603694036637535,"endHours":17.603694036637535,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.603694036637535,"endHours":18.603694036637535,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.603694036637535,"endHours":19.603694036637535,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.603694036637535,"endHours":20.603694036637535,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.603694036637535,"endHours":21.603694036637535,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.603694036637535,"endHours":22.603694036637535,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.603694036637535,"endHours":23.603694036637535,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.603694036637535,"endHours":24.603694036637535,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.603694036637535,"endHours":25.603694036637535,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.603694036637535,"endHours":26.603694036637535,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.603694036637535,"endHours":27.603694036637535,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.603694036637535,"endHours":28.603694036637535,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.603694036637535,"endHours":29.603694036637535,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.542352968392866,"eotMinutes":-5.99422121515736,"ayanamsa":25.0481}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturdaśī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"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":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"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 20, 2085 CE · Mathurā · Vidhyamitra","description":"July 20, 2085 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:36, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2085-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2085-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/2085-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/2085-07-20","x-default":"https://vidhyamitra.com/city/mathura/2085-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:06:44.097Z","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":"2026-05-14T17:06:44.097Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:06:44.097Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}