{"id":"vidhyamitra:city-day:mathura:2091-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-10-03","date_display":"October 3, 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":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485057.770833,"kali_year":5193,"ahargana":1896592.2708,"sun":{"sidereal_longitude":164.01,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":46.8749,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.8649,"elapsed_within_tithi_degrees":2.8649},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.8749,"elapsed_within_degrees":6.8749},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.8849},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2091,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485057.770833,"ahargana":1896592.2708,"kali_year":5193,"ayanamsa_lahiri":25.1347,"grahas":{"sun":{"sidereal_longitude":164.97787600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":43.66857600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4618},"mars":{"sidereal_longitude":211.681876,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":180.16747599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":257.46237599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":182.56017599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":73.417776,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":129.4144,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.4144,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485057.770833,"kali_year":5193,"ahargana":1896592.2708,"sun":{"sidereal_longitude":164.01,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":46.8749,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.8649,"elapsed_within_tithi_degrees":2.8649},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.8749,"elapsed_within_degrees":6.8749},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.8849},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.462,"elongation":117.135},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.462,"opposition_distance":62.865}},"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":"06:12","sunsetLocal":"18:03","solarNoonLocal":"12:08","dayLengthHours":11.847185670902544,"dayLengthDisplay":"11 Hours 50 Mins 50 Secs","nightLengthDisplay":"12 Hours 09 Mins 10 Secs","moonriseLocal":"21:11","moonsetLocal":"10:53","rahuKala":{"name":"Rāhu Kāla","start":"12:08","end":"13:36","startHours":12.125181181974078,"endHours":13.606079390836896,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:41","end":"09:10","startHours":7.682486555385623,"endHours":9.163384764248441,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:08","startHours":10.64428297311126,"endHours":12.125181181974078,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.965931669733399,"endHours":9.360837858763484,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.695221082810411,"endHours":7.0111460340344784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.730274992943992,"endHours":12.520087371004161,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:25","startHours":4.621963590402466,"endHours":5.411775968462636,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:12","startHours":5.2143228739475935,"endHours":6.201588346522805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:53","startHours":14.099712127124501,"endHours":14.88952450518467,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.84877401742535,"endHours":18.248774017425347,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:33","startHours":18.048774017425348,"endHours":18.542406753712953,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.798774017425348,"endHours":19.548774017425348,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.730274992943993,"endHours":24.520087371004163,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:12","end":"07:41","startHours":6.201588346522805,"endHours":7.682486555385623,"quality":"auspicious"},{"name":"Amṛta","start":"07:41","end":"09:10","startHours":7.682486555385623,"endHours":9.163384764248441,"quality":"auspicious"},{"name":"Kāla","start":"09:10","end":"10:39","startHours":9.163384764248441,"endHours":10.64428297311126,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:08","startHours":10.64428297311126,"endHours":12.125181181974078,"quality":"auspicious"},{"name":"Roga","start":"12:08","end":"13:36","startHours":12.125181181974078,"endHours":13.606079390836896,"quality":"inauspicious"},{"name":"Udveg","start":"13:36","end":"15:05","startHours":13.606079390836896,"endHours":15.086977599699711,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:34","startHours":15.086977599699711,"endHours":16.56787580856253,"quality":"neutral"},{"name":"Labha","start":"16:34","end":"18:03","startHours":16.56787580856253,"endHours":18.048774017425348,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:03","end":"19:34","startHours":18.048774017425348,"endHours":19.56787580856253,"quality":"inauspicious"},{"name":"Chala","start":"19:34","end":"21:05","startHours":19.56787580856253,"endHours":21.08697759969971,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:36","startHours":21.08697759969971,"endHours":22.606079390836896,"quality":"auspicious"},{"name":"Amṛta","start":"22:36","end":"00:08","startHours":22.606079390836896,"endHours":24.125181181974078,"quality":"auspicious"},{"name":"Kāla","start":"00:08","end":"01:39","startHours":24.125181181974078,"endHours":25.64428297311126,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:10","startHours":25.64428297311126,"endHours":27.16338476424844,"quality":"auspicious"},{"name":"Roga","start":"03:10","end":"04:41","startHours":27.16338476424844,"endHours":28.682486555385623,"quality":"inauspicious"},{"name":"Udveg","start":"04:41","end":"06:12","startHours":28.682486555385623,"endHours":30.201588346522804,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.201588346522805,"endHours":7.201588346522805,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.201588346522805,"endHours":8.201588346522804,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.201588346522804,"endHours":9.201588346522804,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.201588346522804,"endHours":10.201588346522804,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.201588346522804,"endHours":11.201588346522804,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.201588346522804,"endHours":12.201588346522804,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.201588346522804,"endHours":13.201588346522804,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.201588346522804,"endHours":14.201588346522804,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.201588346522804,"endHours":15.201588346522804,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.201588346522804,"endHours":16.201588346522804,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.201588346522804,"endHours":17.201588346522804,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.201588346522804,"endHours":18.201588346522804,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.201588346522804,"endHours":19.201588346522804,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.201588346522804,"endHours":20.201588346522804,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.201588346522804,"endHours":21.201588346522804,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.201588346522804,"endHours":22.201588346522804,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.201588346522804,"endHours":23.201588346522804,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.201588346522804,"endHours":24.201588346522804,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.201588346522804,"endHours":25.201588346522804,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.201588346522804,"endHours":26.201588346522804,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.201588346522804,"endHours":27.201588346522804,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.201588346522804,"endHours":28.201588346522804,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.201588346522804,"endHours":29.201588346522804,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.201588346522804,"endHours":30.201588346522804,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-4.004509324211017,"eotMinutes":11.794329081555436,"ayanamsa":25.1347}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ṣaṣṭhī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 October 3, 2091 CE · Mathurā · Vidhyamitra","description":"October 3, 2091 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:12, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-10-03","sa":"https://sa.vidhyamitra.com/city/mathura/2091-10-03","hi":"https://hi.vidhyamitra.com/city/mathura/2091-10-03","x-default":"https://vidhyamitra.com/city/mathura/2091-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:08:34.882Z","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":"2026-05-14T12:08:34.882Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:08:34.882Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}