{"id":"vidhyamitra:city-day:mathura:2085-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2085-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-07-15","date_display":"July 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482786.770833,"kali_year":5187,"ahargana":1894321.2708,"sun":{"sidereal_longitude":87.6358,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":7.7497,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.1139,"elapsed_within_tithi_degrees":4.1139},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.7497,"elapsed_within_degrees":7.7497},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.3854},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482786.770833,"ahargana":1894321.2708,"kali_year":5187,"ayanamsa_lahiri":25.0479,"grahas":{"sun":{"sidereal_longitude":88.26644499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":10.991345000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":3.9721},"mars":{"sidereal_longitude":120.51824499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":89.50334499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":90.27754500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":120.18544499999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":351.244145,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":249.743,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.743,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482786.770833,"kali_year":5187,"ahargana":1894321.2708,"sun":{"sidereal_longitude":87.6358,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":7.7497,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.1139,"elapsed_within_tithi_degrees":4.1139},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.7497,"elapsed_within_degrees":7.7497},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.3854},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.972,"elongation":79.886},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.972,"opposition_distance":100.114}},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.708575018165835,"dayLengthDisplay":"13 Hours 42 Mins 31 Secs","nightLengthDisplay":"10 Hours 17 Mins 29 Secs","moonriseLocal":"00:44","moonsetLocal":"13:47","rahuKala":{"name":"Rāhu Kāla","start":"17:33","end":"19:16","startHours":17.555529150251772,"endHours":19.269101027522503,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.128385395710314,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:51","end":"17:33","startHours":15.841957272981045,"endHours":17.555529150251772,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.759193513595362,"endHours":9.21614601420089,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.131716635113577,"endHours":6.497278635597999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957861017834057,"endHours":12.871766019045113,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7327160069345555,"endHours":4.646621008145611,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.418144757842847,"endHours":5.560526009356667,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699576021467223,"endHours":15.613481022678279,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.069101027522503,"endHours":19.469101027522502,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.269101027522503,"endHours":19.84029165327941,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.019101027522503,"endHours":20.769101027522503,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95786101783406,"endHours":24.871766019045115,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:34","end":"07:16","startHours":5.560526009356667,"endHours":7.274097886627397,"quality":"inauspicious"},{"name":"Chala","start":"07:16","end":"08:59","startHours":7.274097886627397,"endHours":8.987669763898126,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:42","startHours":8.987669763898126,"endHours":10.701241641168856,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:25","startHours":10.701241641168856,"endHours":12.414813518439583,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:08","startHours":12.414813518439583,"endHours":14.128385395710314,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"15:51","startHours":14.128385395710314,"endHours":15.841957272981045,"quality":"auspicious"},{"name":"Roga","start":"15:51","end":"17:33","startHours":15.841957272981045,"endHours":17.555529150251772,"quality":"inauspicious"},{"name":"Udveg","start":"17:33","end":"19:16","startHours":17.555529150251772,"endHours":19.269101027522503,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:16","end":"20:33","startHours":19.269101027522503,"endHours":20.555529150251772,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"21:51","startHours":20.555529150251772,"endHours":21.841957272981045,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:08","startHours":21.841957272981045,"endHours":23.128385395710314,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:25","startHours":23.128385395710314,"endHours":24.414813518439587,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:42","startHours":24.414813518439587,"endHours":25.701241641168856,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"02:59","startHours":25.701241641168856,"endHours":26.987669763898126,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:16","startHours":26.987669763898126,"endHours":28.274097886627395,"quality":"inauspicious"},{"name":"Śubha","start":"04:16","end":"05:34","startHours":28.274097886627395,"endHours":29.560526009356668,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.560526009356667,"endHours":6.560526009356667,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.560526009356667,"endHours":7.560526009356667,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.560526009356667,"endHours":8.560526009356668,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.560526009356668,"endHours":9.560526009356668,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.560526009356668,"endHours":10.560526009356668,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.560526009356668,"endHours":11.560526009356668,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.560526009356668,"endHours":12.560526009356668,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.560526009356668,"endHours":13.560526009356668,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.560526009356668,"endHours":14.560526009356668,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.560526009356668,"endHours":15.560526009356668,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.560526009356668,"endHours":16.560526009356668,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.560526009356668,"endHours":17.560526009356668,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.560526009356668,"endHours":18.560526009356668,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.560526009356668,"endHours":19.560526009356668,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.560526009356668,"endHours":20.560526009356668,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.560526009356668,"endHours":21.560526009356668,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.560526009356668,"endHours":22.560526009356668,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.560526009356668,"endHours":23.560526009356668,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.560526009356668,"endHours":24.560526009356668,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.560526009356668,"endHours":25.560526009356668,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.560526009356668,"endHours":26.560526009356668,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.560526009356668,"endHours":27.560526009356668,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.560526009356668,"endHours":28.560526009356668,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.560526009356668,"endHours":29.560526009356668,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.42337147029846,"eotMinutes":-5.583611106375076,"ayanamsa":25.0479}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Navamī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 15, 2085 CE · Mathurā · Vidhyamitra","description":"July 15, 2085 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2085-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2085-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/2085-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/2085-07-15","x-default":"https://vidhyamitra.com/city/mathura/2085-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:44:08.748Z","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":"2026-05-14T13:44:08.748Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:44:08.748Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}