{"id":"vidhyamitra:city-day:mathura:2048-10-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2048-10-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-10-06","date_display":"October 6, 2048 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":2048,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469355.770833,"kali_year":5150,"ahargana":1880890.2708,"sun":{"sidereal_longitude":168.0743,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":145.7337,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.6593,"elapsed_within_tithi_degrees":1.6593},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.7337,"elapsed_within_degrees":12.4003},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.808},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2048,"month":10,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469355.770833,"ahargana":1880890.2708,"kali_year":5150,"ayanamsa_lahiri":24.5342,"grahas":{"sun":{"sidereal_longitude":168.93710799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":147.296108,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-4.4781},"mars":{"sidereal_longitude":256.404008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":154.35900800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":65.909108,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":202.32160799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":254.47870799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":241.382,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.382,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2048,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469355.770833,"kali_year":5150,"ahargana":1880890.2708,"sun":{"sidereal_longitude":168.0743,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":145.7337,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.6593,"elapsed_within_tithi_degrees":1.6593},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.7337,"elapsed_within_degrees":12.4003},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.808},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.478,"elongation":22.341},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.478,"opposition_distance":157.659}},"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":"17:59","solarNoonLocal":"12:07","dayLengthHours":11.755754196251978,"dayLengthDisplay":"11 Hours 45 Mins 21 Secs","nightLengthDisplay":"12 Hours 14 Mins 39 Secs","moonriseLocal":"04:31","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"15:03","end":"16:31","startHours":15.049364795765204,"endHours":16.518834070296702,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:38","startHours":9.171487697639215,"endHours":10.640956972170713,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:07","end":"13:35","startHours":12.110426246702211,"endHours":13.579895521233707,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.975558461035016,"endHours":9.367416934243415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.72237224008672,"endHours":7.03585901865344,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.718567773493811,"endHours":12.50228471991061,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:27","startHours":4.665115255742624,"endHours":5.448832202159423,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:14","startHours":5.252902965555223,"endHours":6.232549148576221,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.069718612744207,"endHours":14.853435559161007,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.7883033448282,"endHours":18.1883033448282,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:29","startHours":17.9883033448282,"endHours":18.478126436338698,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.7383033448282,"endHours":19.4883033448282,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.718567773493813,"endHours":24.50228471991061,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:14","end":"07:42","startHours":6.232549148576221,"endHours":7.7020184231077184,"quality":"inauspicious"},{"name":"Udveg","start":"07:42","end":"09:10","startHours":7.7020184231077184,"endHours":9.171487697639215,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:38","startHours":9.171487697639215,"endHours":10.640956972170713,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:07","startHours":10.640956972170713,"endHours":12.110426246702211,"quality":"auspicious"},{"name":"Amṛta","start":"12:07","end":"13:35","startHours":12.110426246702211,"endHours":13.579895521233707,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"15:03","startHours":13.579895521233707,"endHours":15.049364795765204,"quality":"inauspicious"},{"name":"Śubha","start":"15:03","end":"16:31","startHours":15.049364795765204,"endHours":16.518834070296702,"quality":"auspicious"},{"name":"Roga","start":"16:31","end":"17:59","startHours":16.518834070296702,"endHours":17.9883033448282,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:59","end":"19:31","startHours":17.9883033448282,"endHours":19.518834070296702,"quality":"inauspicious"},{"name":"Śubha","start":"19:31","end":"21:03","startHours":19.518834070296702,"endHours":21.049364795765207,"quality":"auspicious"},{"name":"Roga","start":"21:03","end":"22:35","startHours":21.049364795765207,"endHours":22.57989552123371,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"00:07","startHours":22.57989552123371,"endHours":24.11042624670221,"quality":"inauspicious"},{"name":"Chala","start":"00:07","end":"01:38","startHours":24.11042624670221,"endHours":25.640956972170713,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:10","startHours":25.640956972170713,"endHours":27.171487697639215,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:42","startHours":27.171487697639215,"endHours":28.70201842310772,"quality":"auspicious"},{"name":"Kāla","start":"04:42","end":"06:14","startHours":28.70201842310772,"endHours":30.232549148576222,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.232549148576221,"endHours":7.232549148576221,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.232549148576221,"endHours":8.232549148576222,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.232549148576222,"endHours":9.232549148576222,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.232549148576222,"endHours":10.232549148576222,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.232549148576222,"endHours":11.232549148576222,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.232549148576222,"endHours":12.232549148576222,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.232549148576222,"endHours":13.232549148576222,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.232549148576222,"endHours":14.232549148576222,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.232549148576222,"endHours":15.232549148576222,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.232549148576222,"endHours":16.232549148576222,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.232549148576222,"endHours":17.232549148576222,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.232549148576222,"endHours":18.232549148576222,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.232549148576222,"endHours":19.232549148576222,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.232549148576222,"endHours":20.232549148576222,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.232549148576222,"endHours":21.232549148576222,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.232549148576222,"endHours":22.232549148576222,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.232549148576222,"endHours":23.232549148576222,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.232549148576222,"endHours":24.232549148576222,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.232549148576222,"endHours":25.232549148576222,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.232549148576222,"endHours":26.232549148576222,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.232549148576222,"endHours":27.232549148576222,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.232549148576222,"endHours":28.232549148576222,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.232549148576222,"endHours":29.232549148576222,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.232549148576222,"endHours":30.232549148576222,"planetary_lord":"Saturn"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","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":-5.316372625432858,"eotMinutes":12.679625197867345,"ayanamsa":24.5342}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"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},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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, 2048 CE · Mathurā · Vidhyamitra","description":"October 6, 2048 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:14, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2048-10-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2048-10-06","sa":"https://sa.vidhyamitra.com/city/mathura/2048-10-06","hi":"https://hi.vidhyamitra.com/city/mathura/2048-10-06","x-default":"https://vidhyamitra.com/city/mathura/2048-10-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:54:37.356Z","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":"2026-05-14T15:54:37.356Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:54:37.356Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}