{"id":"vidhyamitra:city-day:mathura:2091-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-08-31","date_display":"August 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485024.770833,"kali_year":5193,"ahargana":1896559.2708,"sun":{"sidereal_longitude":131.9126,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":337.5687,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.6561,"elapsed_within_tithi_degrees":1.6561},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5687,"elapsed_within_degrees":4.2353},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.4813},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2091,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485024.770833,"ahargana":1896559.2708,"kali_year":5193,"ayanamsa_lahiri":25.1335,"grahas":{"sun":{"sidereal_longitude":132.813737,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":335.578637,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-1.9996},"mars":{"sidereal_longitude":189.42373699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":121.81683699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":256.63843700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":141.696037,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":71.440137,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":131.1629,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":311.1629,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485024.770833,"kali_year":5193,"ahargana":1896559.2708,"sun":{"sidereal_longitude":131.9126,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":337.5687,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.6561,"elapsed_within_tithi_degrees":1.6561},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5687,"elapsed_within_degrees":4.2353},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.4813},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2,"elongation":154.344},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2,"opposition_distance":25.656}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":-1.268,"elongation":0.94},{"offset_days":-2,"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":"05:57","sunsetLocal":"18:41","solarNoonLocal":"12:19","dayLengthHours":12.728135667007411,"dayLengthDisplay":"12 Hours 43 Mins 41 Secs","nightLengthDisplay":"11 Hours 16 Mins 19 Secs","moonriseLocal":"19:47","moonsetLocal":"07:53","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:19","startHours":10.728309882900952,"endHours":12.319326841276878,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:30","end":"17:06","startHours":15.501360758028731,"endHours":17.092377716404656,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:08","startHours":7.546275966149098,"endHours":9.137292924525024,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.925157330074901,"endHours":9.349428518975149,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:50","startHours":6.485597993898481,"endHours":6.825014945018679,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.89505565237663,"endHours":12.743598030177125,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.258174252172184,"endHours":5.106716629972678,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.894581035522554,"endHours":5.955259007773172,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.440682785778112,"endHours":15.289225163578605,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.483394674780584,"endHours":18.883394674780583,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.683394674780583,"endHours":19.21373366090589,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.433394674780583,"endHours":20.183394674780583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.89505565237663,"endHours":24.74359803017712,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:57","end":"07:33","startHours":5.955259007773172,"endHours":7.546275966149098,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:08","startHours":7.546275966149098,"endHours":9.137292924525024,"quality":"auspicious"},{"name":"Amṛta","start":"09:08","end":"10:44","startHours":9.137292924525024,"endHours":10.728309882900952,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:19","startHours":10.728309882900952,"endHours":12.319326841276878,"quality":"inauspicious"},{"name":"Śubha","start":"12:19","end":"13:55","startHours":12.319326841276878,"endHours":13.910343799652804,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:30","startHours":13.910343799652804,"endHours":15.501360758028731,"quality":"inauspicious"},{"name":"Udveg","start":"15:30","end":"17:06","startHours":15.501360758028731,"endHours":17.092377716404656,"quality":"inauspicious"},{"name":"Chala","start":"17:06","end":"18:41","startHours":17.092377716404656,"endHours":18.683394674780583,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:41","end":"20:06","startHours":18.683394674780583,"endHours":20.092377716404656,"quality":"inauspicious"},{"name":"Udveg","start":"20:06","end":"21:30","startHours":20.092377716404656,"endHours":21.50136075802873,"quality":"inauspicious"},{"name":"Chala","start":"21:30","end":"22:55","startHours":21.50136075802873,"endHours":22.910343799652804,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:19","startHours":22.910343799652804,"endHours":24.319326841276876,"quality":"auspicious"},{"name":"Amṛta","start":"00:19","end":"01:44","startHours":24.319326841276876,"endHours":25.728309882900952,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:08","startHours":25.728309882900952,"endHours":27.137292924525024,"quality":"inauspicious"},{"name":"Śubha","start":"03:08","end":"04:33","startHours":27.137292924525024,"endHours":28.546275966149096,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:57","startHours":28.546275966149096,"endHours":29.955259007773172,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.955259007773172,"endHours":6.955259007773172,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.955259007773172,"endHours":7.955259007773172,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.955259007773172,"endHours":8.955259007773172,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.955259007773172,"endHours":9.955259007773172,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.955259007773172,"endHours":10.955259007773172,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.955259007773172,"endHours":11.955259007773172,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.955259007773172,"endHours":12.955259007773172,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.955259007773172,"endHours":13.955259007773172,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.955259007773172,"endHours":14.955259007773172,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.955259007773172,"endHours":15.955259007773172,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.955259007773172,"endHours":16.955259007773172,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.955259007773172,"endHours":17.955259007773172,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.955259007773172,"endHours":18.955259007773172,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.955259007773172,"endHours":19.955259007773172,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.955259007773172,"endHours":20.955259007773172,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.955259007773172,"endHours":21.955259007773172,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.955259007773172,"endHours":22.955259007773172,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.955259007773172,"endHours":23.955259007773172,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.955259007773172,"endHours":24.955259007773172,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.955259007773172,"endHours":25.955259007773172,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.955259007773172,"endHours":26.955259007773172,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.955259007773172,"endHours":27.955259007773172,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.955259007773172,"endHours":28.955259007773172,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.955259007773172,"endHours":29.955259007773172,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.588259627974878,"eotMinutes":0.14558952338733633,"ayanamsa":25.1335}},"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 Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · 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":"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 August 31, 2091 CE · Mathurā · Vidhyamitra","description":"August 31, 2091 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:57, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-08-31","sa":"https://sa.vidhyamitra.com/city/mathura/2091-08-31","hi":"https://hi.vidhyamitra.com/city/mathura/2091-08-31","x-default":"https://vidhyamitra.com/city/mathura/2091-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:02:44.573Z","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":"2026-05-14T11:02:44.573Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:02:44.573Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}