{"id":"vidhyamitra:city-day:mathura:1685-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1685-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1685-08-01","date_display":"August 1, 1685 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":1685,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2336706.770833,"kali_year":4787,"ahargana":1748241.2708,"sun":{"sidereal_longitude":109.9484,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":117.1534,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.205,"elapsed_within_tithi_degrees":7.205},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.1534,"elapsed_within_degrees":10.4868},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.1018},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1685,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2336706.770833,"ahargana":1748241.2708,"kali_year":4787,"ayanamsa_lahiri":19.4609,"grahas":{"sun":{"sidereal_longitude":109.75917500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":116.95587499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":3.3103},"mars":{"sidereal_longitude":229.12147500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":107.206075,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":181.561775,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":123.44977500000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":149.888375,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":69.7643,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.7643,"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":1685,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2336706.770833,"kali_year":4787,"ahargana":1748241.2708,"sun":{"sidereal_longitude":109.9484,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":117.1534,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.205,"elapsed_within_tithi_degrees":7.205},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.1534,"elapsed_within_degrees":10.4868},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.1018},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.31,"elongation":7.205},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.31,"opposition_distance":172.795}},"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":"05:42","sunsetLocal":"19:08","solarNoonLocal":"12:25","dayLengthHours":13.427547575922631,"dayLengthDisplay":"13 Hours 25 Mins 39 Secs","nightLengthDisplay":"10 Hours 34 Mins 21 Secs","moonriseLocal":"06:17","moonsetLocal":"19:31","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:06","startHours":12.42204783111184,"endHours":14.100491278102169,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"09:04","startHours":7.386717490140854,"endHours":9.065160937131182,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:25","startHours":10.743604384121511,"endHours":12.42204783111184,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.841368477532473,"endHours":9.288953396729895,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:38","startHours":6.267755192147302,"endHours":6.625823127505239,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.974462911914419,"endHours":12.869632750309261,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:49","startHours":3.917934366360841,"endHours":4.813104204755684,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.589311745156973,"endHours":5.708274043150525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:33","startHours":14.659972427098946,"endHours":15.555142265493789,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.935821619073156,"endHours":19.335821619073155,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.135821619073155,"endHours":19.695302768069933,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.885821619073155,"endHours":20.635821619073155,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97446291191442,"endHours":24.86963275030926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:42","end":"07:23","startHours":5.708274043150525,"endHours":7.386717490140854,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"09:04","startHours":7.386717490140854,"endHours":9.065160937131182,"quality":"auspicious"},{"name":"Kāla","start":"09:04","end":"10:45","startHours":9.065160937131182,"endHours":10.743604384121511,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:25","startHours":10.743604384121511,"endHours":12.42204783111184,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:06","startHours":12.42204783111184,"endHours":14.100491278102169,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:47","startHours":14.100491278102169,"endHours":15.778934725092498,"quality":"inauspicious"},{"name":"Chala","start":"15:47","end":"17:27","startHours":15.778934725092498,"endHours":17.457378172082826,"quality":"neutral"},{"name":"Labha","start":"17:27","end":"19:08","startHours":17.457378172082826,"endHours":19.135821619073155,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:27","startHours":19.135821619073155,"endHours":20.457378172082826,"quality":"inauspicious"},{"name":"Chala","start":"20:27","end":"21:47","startHours":20.457378172082826,"endHours":21.778934725092498,"quality":"neutral"},{"name":"Labha","start":"21:47","end":"23:06","startHours":21.778934725092498,"endHours":23.10049127810217,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:25","startHours":23.10049127810217,"endHours":24.42204783111184,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:45","startHours":24.42204783111184,"endHours":25.74360438412151,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:04","startHours":25.74360438412151,"endHours":27.065160937131182,"quality":"auspicious"},{"name":"Roga","start":"03:04","end":"04:23","startHours":27.065160937131182,"endHours":28.386717490140853,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:42","startHours":28.386717490140853,"endHours":29.708274043150524,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.708274043150525,"endHours":6.708274043150525,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.708274043150525,"endHours":7.708274043150525,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.708274043150525,"endHours":8.708274043150524,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.708274043150524,"endHours":9.708274043150524,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.708274043150524,"endHours":10.708274043150524,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.708274043150524,"endHours":11.708274043150524,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.708274043150524,"endHours":12.708274043150524,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.708274043150524,"endHours":13.708274043150524,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.708274043150524,"endHours":14.708274043150524,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.708274043150524,"endHours":15.708274043150524,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.708274043150524,"endHours":16.708274043150524,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.708274043150524,"endHours":17.708274043150524,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.708274043150524,"endHours":18.708274043150524,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.708274043150524,"endHours":19.708274043150524,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.708274043150524,"endHours":20.708274043150524,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.708274043150524,"endHours":21.708274043150524,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.708274043150524,"endHours":22.708274043150524,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.708274043150524,"endHours":23.708274043150524,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.708274043150524,"endHours":24.708274043150524,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.708274043150524,"endHours":25.708274043150524,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.708274043150524,"endHours":26.708274043150524,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.708274043150524,"endHours":27.708274043150524,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.708274043150524,"endHours":28.708274043150524,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.708274043150524,"endHours":29.708274043150524,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.946721237154843,"eotMinutes":-6.017669866710306,"ayanamsa":19.4609}},"calendars":{"vikram_samvat":1742,"vikram_samvatsara":"Bahudhānya","saka_samvat":1607,"saka_samvatsara":"Krodhana","bengali_samvat":1092,"malayalam_era":861,"nanakshahi_year":216,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 1742 Bahudhānya · Śaka 1607 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 1, 1685 CE · Mathurā · Vidhyamitra","description":"August 1, 1685 CE for Mathurā: Śukla Pratipada, sūryodaya 05:42, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1685-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1685-08-01","sa":"https://sa.vidhyamitra.com/city/mathura/1685-08-01","hi":"https://hi.vidhyamitra.com/city/mathura/1685-08-01","x-default":"https://vidhyamitra.com/city/mathura/1685-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:11:42.318Z","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":"2026-06-03T07:11:42.318Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:11:42.318Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}