{"id":"vidhyamitra:city-day:mathura:1663-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1663-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1663-08-15","date_display":"August 15, 1663 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":1663,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328684.770833,"kali_year":4765,"ahargana":1740219.2708,"sun":{"sidereal_longitude":123.0273,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":258.1604,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.1331,"elapsed_within_tithi_degrees":3.1331},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.1604,"elapsed_within_degrees":4.827},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.1876},"karana":{"half_tithi_index":22,"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":1663,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328684.770833,"ahargana":1740219.2708,"kali_year":4765,"ayanamsa_lahiri":19.1541,"grahas":{"sun":{"sidereal_longitude":122.854174,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":259.30887400000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":3.7577},"mars":{"sidereal_longitude":75.870474,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":111.39397400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":230.92017399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":171.15347399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":235.68267400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":134.8085,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.8085,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":1663,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328684.770833,"kali_year":4765,"ahargana":1740219.2708,"sun":{"sidereal_longitude":123.0273,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":258.1604,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.1331,"elapsed_within_tithi_degrees":3.1331},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.1604,"elapsed_within_degrees":4.827},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.1876},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.758,"elongation":135.133},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.758,"opposition_distance":44.867}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":0.469,"opposition_distance":1.748}]},"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":"05:49","sunsetLocal":"18:58","solarNoonLocal":"12:23","dayLengthHours":13.137183569648295,"dayLengthDisplay":"13 Hours 08 Mins 14 Secs","nightLengthDisplay":"10 Hours 51 Mins 46 Secs","moonriseLocal":"16:18","moonsetLocal":"02:41","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.033513074983178,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:28","end":"09:06","startHours":7.4649212901590305,"endHours":9.107069236365067,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:23","startHours":10.749217182571105,"endHours":12.391365128777142,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.88811617687093,"endHours":9.326022295859206,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.370155992688339,"endHours":6.72048088787896,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.953459009788865,"endHours":12.82927124776542,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:57","startHours":4.071148867999888,"endHours":4.946961105976441,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.728008046482302,"endHours":5.822773343952994,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:27","startHours":14.580895723718525,"endHours":15.456707961695079,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.75995691360129,"endHours":19.159956913601288,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.95995691360129,"endHours":19.507339562336636,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.70995691360129,"endHours":20.45995691360129,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.953459009788865,"endHours":24.82927124776542,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:49","end":"07:28","startHours":5.822773343952994,"endHours":7.4649212901590305,"quality":"auspicious"},{"name":"Amṛta","start":"07:28","end":"09:06","startHours":7.4649212901590305,"endHours":9.107069236365067,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:45","startHours":9.107069236365067,"endHours":10.749217182571105,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:23","startHours":10.749217182571105,"endHours":12.391365128777142,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:02","startHours":12.391365128777142,"endHours":14.033513074983178,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:41","startHours":14.033513074983178,"endHours":15.675661021189216,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:19","startHours":15.675661021189216,"endHours":17.31780896739525,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"18:58","startHours":17.31780896739525,"endHours":18.95995691360129,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:58","end":"20:19","startHours":18.95995691360129,"endHours":20.31780896739525,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:41","startHours":20.31780896739525,"endHours":21.675661021189214,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:02","startHours":21.675661021189214,"endHours":23.033513074983176,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:23","startHours":23.033513074983176,"endHours":24.391365128777142,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:45","startHours":24.391365128777142,"endHours":25.749217182571105,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:06","startHours":25.749217182571105,"endHours":27.107069236365067,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:28","startHours":27.107069236365067,"endHours":28.464921290159033,"quality":"inauspicious"},{"name":"Udveg","start":"04:28","end":"05:49","startHours":28.464921290159033,"endHours":29.822773343952996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.822773343952994,"endHours":6.822773343952994,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.822773343952994,"endHours":7.822773343952994,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.822773343952994,"endHours":8.822773343952994,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.822773343952994,"endHours":9.822773343952994,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.822773343952994,"endHours":10.822773343952994,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.822773343952994,"endHours":11.822773343952994,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.822773343952994,"endHours":12.822773343952994,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.822773343952994,"endHours":13.822773343952994,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.822773343952994,"endHours":14.822773343952994,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.822773343952994,"endHours":15.822773343952994,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.822773343952994,"endHours":16.822773343952996,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.822773343952996,"endHours":17.822773343952996,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.822773343952996,"endHours":18.822773343952996,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.822773343952996,"endHours":19.822773343952996,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.822773343952996,"endHours":20.822773343952996,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.822773343952996,"endHours":21.822773343952996,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.822773343952996,"endHours":22.822773343952996,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.822773343952996,"endHours":23.822773343952996,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.822773343952996,"endHours":24.822773343952996,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.822773343952996,"endHours":25.822773343952996,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.822773343952996,"endHours":26.822773343952996,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.822773343952996,"endHours":27.822773343952996,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.822773343952996,"endHours":28.822773343952996,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.822773343952996,"endHours":29.822773343952996,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.171391026988717,"eotMinutes":-4.176707726628523,"ayanamsa":19.1541}},"calendars":{"vikram_samvat":1720,"vikram_samvatsara":"Nala","saka_samvat":1585,"saka_samvatsara":"Śobhana","bengali_samvat":1070,"malayalam_era":839,"nanakshahi_year":194,"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":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvādaśī · Vikram 1720 Nala · Śaka 1585 Śobhana"},"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 15, 1663 CE · Mathurā · Vidhyamitra","description":"August 15, 1663 CE for Mathurā: Śukla Dvādaśī, sūryodaya 05:49, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1663-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1663-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/1663-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/1663-08-15","x-default":"https://vidhyamitra.com/city/mathura/1663-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T21:03:42.118Z","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":"2026-06-04T21:03:42.118Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T21:03:42.118Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}