{"id":"vidhyamitra:city-day:mathura:2033-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2033-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-10-16","date_display":"October 16, 2033 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":2033,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463886.770833,"kali_year":5135,"ahargana":1875421.2708,"sun":{"sidereal_longitude":177.8554,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":94.8288,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.9734,"elapsed_within_tithi_degrees":0.9734},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.8288,"elapsed_within_degrees":1.4955},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.6842},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2033,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463886.770833,"ahargana":1875421.2708,"kali_year":5135,"ayanamsa_lahiri":24.325,"grahas":{"sun":{"sidereal_longitude":178.66996399999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":98.66126400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.3722},"mars":{"sidereal_longitude":274.040664,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":199.70376399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":302.734064,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":158.58646399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":86.44226400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":171.1559,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.1559,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2033,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463886.770833,"kali_year":5135,"ahargana":1875421.2708,"sun":{"sidereal_longitude":177.8554,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":94.8288,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.9734,"elapsed_within_tithi_degrees":0.9734},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.8288,"elapsed_within_degrees":1.4955},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.6842},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.372,"elongation":83.027},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.372,"opposition_distance":96.973}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":0.921,"elongation":2.213}]},"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":"06:19","sunsetLocal":"17:49","solarNoonLocal":"12:04","dayLengthHours":11.501093946790451,"dayLengthDisplay":"11 Hours 30 Mins 04 Secs","nightLengthDisplay":"12 Hours 29 Mins 56 Secs","moonriseLocal":"23:59","moonsetLocal":"13:30","rahuKala":{"name":"Rāhu Kāla","start":"16:23","end":"17:49","startHours":16.383868070526738,"endHours":17.821504813875542,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:31","startHours":12.070957840480316,"endHours":13.508594583829122,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:57","end":"16:23","startHours":14.94623132717793,"endHours":16.383868070526738,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.003999454669529,"endHours":9.387369252895878,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:06","startHours":6.799623114868027,"endHours":7.106318953449105,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.687588042253967,"endHours":12.454327638706665,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.786931674179697,"endHours":5.553671270632394,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:19","startHours":5.36198637151922,"endHours":6.320410867085091,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.987806831612058,"endHours":14.754546428064755,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.621504813875543,"endHours":18.02150481387554,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:18","startHours":17.821504813875542,"endHours":18.300717061658478,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.571504813875542,"endHours":19.321504813875542,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.68758804225397,"endHours":24.454327638706665,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:19","end":"07:45","startHours":6.320410867085091,"endHours":7.758047610433897,"quality":"inauspicious"},{"name":"Chala","start":"07:45","end":"09:12","startHours":7.758047610433897,"endHours":9.195684353782703,"quality":"neutral"},{"name":"Labha","start":"09:12","end":"10:38","startHours":9.195684353782703,"endHours":10.63332109713151,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:04","startHours":10.63332109713151,"endHours":12.070957840480316,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:31","startHours":12.070957840480316,"endHours":13.508594583829122,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:57","startHours":13.508594583829122,"endHours":14.94623132717793,"quality":"auspicious"},{"name":"Roga","start":"14:57","end":"16:23","startHours":14.94623132717793,"endHours":16.383868070526738,"quality":"inauspicious"},{"name":"Udveg","start":"16:23","end":"17:49","startHours":16.383868070526738,"endHours":17.821504813875542,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:49","end":"19:23","startHours":17.821504813875542,"endHours":19.383868070526734,"quality":"auspicious"},{"name":"Roga","start":"19:23","end":"20:57","startHours":19.383868070526734,"endHours":20.94623132717793,"quality":"inauspicious"},{"name":"Udveg","start":"20:57","end":"22:31","startHours":20.94623132717793,"endHours":22.508594583829122,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:04","startHours":22.508594583829122,"endHours":24.070957840480318,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:38","startHours":24.070957840480318,"endHours":25.63332109713151,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:12","startHours":25.63332109713151,"endHours":27.195684353782703,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:45","startHours":27.195684353782703,"endHours":28.7580476104339,"quality":"inauspicious"},{"name":"Śubha","start":"04:45","end":"06:19","startHours":28.7580476104339,"endHours":30.32041086708509,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.320410867085091,"endHours":7.320410867085091,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.320410867085091,"endHours":8.32041086708509,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.32041086708509,"endHours":9.32041086708509,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.32041086708509,"endHours":10.32041086708509,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.32041086708509,"endHours":11.32041086708509,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.32041086708509,"endHours":12.32041086708509,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.32041086708509,"endHours":13.32041086708509,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.32041086708509,"endHours":14.32041086708509,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.32041086708509,"endHours":15.32041086708509,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.32041086708509,"endHours":16.32041086708509,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.32041086708509,"endHours":17.32041086708509,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.32041086708509,"endHours":18.32041086708509,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.32041086708509,"endHours":19.32041086708509,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.32041086708509,"endHours":20.32041086708509,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.32041086708509,"endHours":21.32041086708509,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.32041086708509,"endHours":22.32041086708509,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.32041086708509,"endHours":23.32041086708509,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.32041086708509,"endHours":24.32041086708509,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.32041086708509,"endHours":25.32041086708509,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.32041086708509,"endHours":26.32041086708509,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.32041086708509,"endHours":27.32041086708509,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.32041086708509,"endHours":28.32041086708509,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.32041086708509,"endHours":29.32041086708509,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.32041086708509,"endHours":30.32041086708509,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","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":-8.938503510484395,"eotMinutes":15.04772957118102,"ayanamsa":24.325}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 16, 2033 CE · Mathurā · Vidhyamitra","description":"October 16, 2033 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 06:19, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2033-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2033-10-16","sa":"https://sa.vidhyamitra.com/city/mathura/2033-10-16","hi":"https://hi.vidhyamitra.com/city/mathura/2033-10-16","x-default":"https://vidhyamitra.com/city/mathura/2033-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:45:44.739Z","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":"2026-05-14T13:45:44.739Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:45:44.739Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}