{"id":"vidhyamitra:city-day:mathura:2046-10-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2046-10-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-10-06","date_display":"October 6, 2046 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":2046,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468624.770833,"kali_year":5148,"ahargana":1880159.2708,"sun":{"sidereal_longitude":167.5985,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":244.8239,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.2254,"elapsed_within_tithi_degrees":5.2254},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.8239,"elapsed_within_degrees":4.8239},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.4224},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2046,"month":10,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468624.770833,"ahargana":1880159.2708,"kali_year":5148,"ayanamsa_lahiri":24.5062,"grahas":{"sun":{"sidereal_longitude":168.457038,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":248.56233799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-2.5979},"mars":{"sidereal_longitude":234.3786379999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":193.20643799999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":349.679438,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":165.31733799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":232.90613800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":280.1139,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.1139,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2046,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468624.770833,"kali_year":5148,"ahargana":1880159.2708,"sun":{"sidereal_longitude":167.5985,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":244.8239,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.2254,"elapsed_within_tithi_degrees":5.2254},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.8239,"elapsed_within_degrees":4.8239},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.4224},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.598,"elongation":77.225},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.598,"opposition_distance":102.775}},"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":"06:14","sunsetLocal":"18:00","solarNoonLocal":"12:07","dayLengthHours":11.76954224580097,"dayLengthDisplay":"11 Hours 46 Mins 10 Secs","nightLengthDisplay":"12 Hours 13 Mins 50 Secs","moonriseLocal":"12:16","moonsetLocal":"22:38","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:38","startHours":9.168040685251968,"endHours":10.639233465977089,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"15:03","startHours":13.581619027427333,"endHours":15.052811808152454,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:14","end":"07:42","startHours":6.225655123801726,"endHours":7.696847904526847,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.971881647821952,"endHours":9.364199722681985,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.716052717376766,"endHours":7.029907177264792,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.718108171842179,"endHours":12.502744321562243,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.656382824361597,"endHours":5.441018974081661,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:14","startHours":5.244859936651645,"endHours":6.225655123801726,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.072016621002373,"endHours":14.856652770722437,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.795197369602697,"endHours":18.195197369602695,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:29","startHours":17.995197369602696,"endHours":18.485594963177736,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.745197369602696,"endHours":19.495197369602696,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.71810817184218,"endHours":24.502744321562243,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:14","end":"07:42","startHours":6.225655123801726,"endHours":7.696847904526847,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:10","startHours":7.696847904526847,"endHours":9.168040685251968,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:38","startHours":9.168040685251968,"endHours":10.639233465977089,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:07","startHours":10.639233465977089,"endHours":12.110426246702211,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:35","startHours":12.110426246702211,"endHours":13.581619027427333,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"15:03","startHours":13.581619027427333,"endHours":15.052811808152454,"quality":"auspicious"},{"name":"Amṛta","start":"15:03","end":"16:31","startHours":15.052811808152454,"endHours":16.524004588877574,"quality":"auspicious"},{"name":"Kāla","start":"16:31","end":"18:00","startHours":16.524004588877574,"endHours":17.995197369602696,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:00","end":"19:31","startHours":17.995197369602696,"endHours":19.524004588877574,"quality":"auspicious"},{"name":"Amṛta","start":"19:31","end":"21:03","startHours":19.524004588877574,"endHours":21.052811808152455,"quality":"auspicious"},{"name":"Kāla","start":"21:03","end":"22:35","startHours":21.052811808152455,"endHours":22.581619027427333,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:07","startHours":22.581619027427333,"endHours":24.11042624670221,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:38","startHours":24.11042624670221,"endHours":25.63923346597709,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:10","startHours":25.63923346597709,"endHours":27.168040685251967,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:42","startHours":27.168040685251967,"endHours":28.696847904526848,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:14","startHours":28.696847904526848,"endHours":30.225655123801726,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.225655123801726,"endHours":7.225655123801726,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.225655123801726,"endHours":8.225655123801726,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.225655123801726,"endHours":9.225655123801726,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.225655123801726,"endHours":10.225655123801726,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.225655123801726,"endHours":11.225655123801726,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.225655123801726,"endHours":12.225655123801726,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.225655123801726,"endHours":13.225655123801726,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.225655123801726,"endHours":14.225655123801726,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.225655123801726,"endHours":15.225655123801726,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.225655123801726,"endHours":16.225655123801726,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.225655123801726,"endHours":17.225655123801726,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.225655123801726,"endHours":18.225655123801726,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.225655123801726,"endHours":19.225655123801726,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.225655123801726,"endHours":20.225655123801726,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.225655123801726,"endHours":21.225655123801726,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.225655123801726,"endHours":22.225655123801726,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.225655123801726,"endHours":23.225655123801726,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.225655123801726,"endHours":24.225655123801726,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.225655123801726,"endHours":25.225655123801726,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.225655123801726,"endHours":26.225655123801726,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.225655123801726,"endHours":27.225655123801726,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.225655123801726,"endHours":28.225655123801726,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.225655123801726,"endHours":29.225655123801726,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.225655123801726,"endHours":30.225655123801726,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"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":-5.118831719679204,"eotMinutes":12.679625197867345,"ayanamsa":24.5062}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Saptamī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 6, 2046 CE · Mathurā · Vidhyamitra","description":"October 6, 2046 CE for Mathurā: Śukla Saptamī, sūryodaya 06:14, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2046-10-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2046-10-06","sa":"https://sa.vidhyamitra.com/city/mathura/2046-10-06","hi":"https://hi.vidhyamitra.com/city/mathura/2046-10-06","x-default":"https://vidhyamitra.com/city/mathura/2046-10-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:36:54.339Z","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":"2026-05-14T19:36:54.339Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:36:54.339Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}