{"id":"vidhyamitra:city-day:mathura:2091-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-08-21","date_display":"August 21, 2091 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":2091,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485014.770833,"kali_year":5193,"ahargana":1896549.2708,"sun":{"sidereal_longitude":122.311,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":201.2903,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.9793,"elapsed_within_tithi_degrees":6.9793},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.2903,"elapsed_within_degrees":1.2903},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.6013},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2091,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485014.770833,"ahargana":1896549.2708,"kali_year":5193,"ayanamsa_lahiri":25.1331,"grahas":{"sun":{"sidereal_longitude":123.16981899999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":203.994419,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":4.2172},"mars":{"sidereal_longitude":183.02871900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":104.34941900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":257.06431900000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":129.329519,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":70.53881899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":131.6928,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":311.6928,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485014.770833,"kali_year":5193,"ahargana":1896549.2708,"sun":{"sidereal_longitude":122.311,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":201.2903,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.9793,"elapsed_within_tithi_degrees":6.9793},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":201.2903,"elapsed_within_degrees":1.2903},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.6013},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.217,"elongation":78.979},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.217,"opposition_distance":101.021}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":-1.268,"elongation":0.94},{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":-0.052,"opposition_distance":1.943}]},"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":"05:53","sunsetLocal":"18:52","solarNoonLocal":"12:22","dayLengthHours":12.980285208178568,"dayLengthDisplay":"12 Hours 58 Mins 49 Secs","nightLengthDisplay":"11 Hours 01 Mins 11 Secs","moonriseLocal":"12:20","moonsetLocal":"23:10","rahuKala":{"name":"Rāhu Kāla","start":"15:37","end":"17:14","startHours":15.613456190644555,"endHours":17.235991841666877,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:45","startHours":9.123313586555273,"endHours":10.745849237577595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:59","startHours":12.368384888599916,"endHours":13.990920539622238,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.906975499752297,"endHours":9.339651673358249,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.419087501518072,"endHours":6.765228440402834,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.935708714993963,"endHours":12.801061062205866,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:09","end":"05:01","startHours":4.147537590086822,"endHours":5.012889937298727,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:53","startHours":4.79655185049575,"endHours":5.878242284510631,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.531765756629678,"endHours":15.397118103841583,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.6585274926892,"endHours":19.058527492689198,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.8585274926892,"endHours":19.39937270969664,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.6085274926892,"endHours":20.3585274926892,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.93570871499396,"endHours":24.801061062205864,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:53","end":"07:30","startHours":5.878242284510631,"endHours":7.500777935532952,"quality":"inauspicious"},{"name":"Udveg","start":"07:30","end":"09:07","startHours":7.500777935532952,"endHours":9.123313586555273,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:45","startHours":9.123313586555273,"endHours":10.745849237577595,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:22","startHours":10.745849237577595,"endHours":12.368384888599916,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:59","startHours":12.368384888599916,"endHours":13.990920539622238,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:37","startHours":13.990920539622238,"endHours":15.613456190644555,"quality":"inauspicious"},{"name":"Śubha","start":"15:37","end":"17:14","startHours":15.613456190644555,"endHours":17.235991841666877,"quality":"auspicious"},{"name":"Roga","start":"17:14","end":"18:52","startHours":17.235991841666877,"endHours":18.8585274926892,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:52","end":"20:14","startHours":18.8585274926892,"endHours":20.235991841666877,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"21:37","startHours":20.235991841666877,"endHours":21.613456190644555,"quality":"auspicious"},{"name":"Roga","start":"21:37","end":"22:59","startHours":21.613456190644555,"endHours":22.990920539622238,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:22","startHours":22.990920539622238,"endHours":24.368384888599913,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"01:45","startHours":24.368384888599913,"endHours":25.745849237577595,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:07","startHours":25.745849237577595,"endHours":27.123313586555273,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:30","startHours":27.123313586555273,"endHours":28.500777935532952,"quality":"auspicious"},{"name":"Kāla","start":"04:30","end":"05:53","startHours":28.500777935532952,"endHours":29.87824228451063,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.878242284510631,"endHours":6.878242284510631,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.878242284510631,"endHours":7.878242284510631,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.878242284510631,"endHours":8.87824228451063,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.87824228451063,"endHours":9.87824228451063,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.87824228451063,"endHours":10.87824228451063,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.87824228451063,"endHours":11.87824228451063,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.87824228451063,"endHours":12.87824228451063,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.87824228451063,"endHours":13.87824228451063,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.87824228451063,"endHours":14.87824228451063,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.87824228451063,"endHours":15.87824228451063,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.87824228451063,"endHours":16.87824228451063,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.87824228451063,"endHours":17.87824228451063,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.87824228451063,"endHours":18.87824228451063,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.87824228451063,"endHours":19.87824228451063,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.87824228451063,"endHours":20.87824228451063,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.87824228451063,"endHours":21.87824228451063,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.87824228451063,"endHours":22.87824228451063,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.87824228451063,"endHours":23.87824228451063,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.87824228451063,"endHours":24.87824228451063,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.87824228451063,"endHours":25.87824228451063,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.87824228451063,"endHours":26.87824228451063,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.87824228451063,"endHours":27.87824228451063,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.87824228451063,"endHours":28.87824228451063,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.87824228451063,"endHours":29.87824228451063,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.062578066098153,"eotMinutes":-2.7978933159948465,"ayanamsa":25.1331}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 August 21, 2091 CE · Mathurā · Vidhyamitra","description":"August 21, 2091 CE for Mathurā: Śukla Saptamī, sūryodaya 05:53, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-08-21","sa":"https://sa.vidhyamitra.com/city/mathura/2091-08-21","hi":"https://hi.vidhyamitra.com/city/mathura/2091-08-21","x-default":"https://vidhyamitra.com/city/mathura/2091-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:30:27.676Z","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":"2026-05-14T18:30:27.676Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:30:27.676Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}