{"id":"vidhyamitra:city-day:mathura:2033-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2033-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-10-15","date_display":"October 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463885.770833,"kali_year":5135,"ahargana":1875420.2708,"sun":{"sidereal_longitude":176.8624,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":81.945,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.0825,"elapsed_within_tithi_degrees":1.0825},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.945,"elapsed_within_degrees":1.945},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.8074},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2033,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463885.770833,"ahargana":1875420.2708,"kali_year":5135,"ayanamsa_lahiri":24.325,"grahas":{"sun":{"sidereal_longitude":177.67880200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":85.80460199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-4.4996},"mars":{"sidereal_longitude":273.422902,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":199.53190199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":302.760402,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":157.34450200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":86.40980200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":171.2089,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.2089,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463885.770833,"kali_year":5135,"ahargana":1875420.2708,"sun":{"sidereal_longitude":176.8624,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":81.945,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.0825,"elapsed_within_tithi_degrees":1.0825},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.945,"elapsed_within_degrees":1.945},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.8074},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":94.917},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":85.083}},"eclipse_window_40days":[{"offset_days":8,"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":"17:50","solarNoonLocal":"12:04","dayLengthHours":11.527196593003211,"dayLengthDisplay":"11 Hours 31 Mins 38 Secs","nightLengthDisplay":"12 Hours 28 Mins 22 Secs","moonriseLocal":"23:06","moonsetLocal":"12:48","rahuKala":{"name":"Rāhu Kāla","start":"09:12","end":"10:38","startHours":9.19234034556073,"endHours":10.63323991968613,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:31","end":"14:57","startHours":13.515039067936932,"endHours":14.955938642062335,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:19","end":"07:45","startHours":6.310541197309926,"endHours":7.751440771435328,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.00022040234401,"endHours":9.384460288777449,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.790841055351727,"endHours":7.09823296449848,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.689899607378093,"endHours":12.458379380244972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:33","startHours":4.773581651576165,"endHours":5.5420614244430455,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:19","startHours":5.349941481226326,"endHours":6.310541197309926,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.995338925978734,"endHours":14.763818698845615,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63773779031314,"endHours":18.037737790313138,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.837737790313138,"endHours":18.318037648354938,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.587737790313138,"endHours":19.337737790313138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.68989960737809,"endHours":24.458379380244974,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:19","end":"07:45","startHours":6.310541197309926,"endHours":7.751440771435328,"quality":"inauspicious"},{"name":"Śubha","start":"07:45","end":"09:12","startHours":7.751440771435328,"endHours":9.19234034556073,"quality":"auspicious"},{"name":"Roga","start":"09:12","end":"10:38","startHours":9.19234034556073,"endHours":10.63323991968613,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:04","startHours":10.63323991968613,"endHours":12.074139493811533,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:31","startHours":12.074139493811533,"endHours":13.515039067936932,"quality":"neutral"},{"name":"Labha","start":"13:31","end":"14:57","startHours":13.515039067936932,"endHours":14.955938642062335,"quality":"auspicious"},{"name":"Amṛta","start":"14:57","end":"16:24","startHours":14.955938642062335,"endHours":16.396838216187735,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:50","startHours":16.396838216187735,"endHours":17.837737790313138,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:24","startHours":17.837737790313138,"endHours":19.39683821618774,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"20:57","startHours":19.39683821618774,"endHours":20.955938642062335,"quality":"auspicious"},{"name":"Kāla","start":"20:57","end":"22:31","startHours":20.955938642062335,"endHours":22.515039067936932,"quality":"inauspicious"},{"name":"Śubha","start":"22:31","end":"00:04","startHours":22.515039067936932,"endHours":24.074139493811533,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:38","startHours":24.074139493811533,"endHours":25.633239919686133,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:12","startHours":25.633239919686133,"endHours":27.19234034556073,"quality":"inauspicious"},{"name":"Chala","start":"03:12","end":"04:45","startHours":27.19234034556073,"endHours":28.751440771435327,"quality":"neutral"},{"name":"Labha","start":"04:45","end":"06:19","startHours":28.751440771435327,"endHours":30.310541197309927,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.310541197309926,"endHours":7.310541197309926,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.310541197309926,"endHours":8.310541197309927,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.310541197309927,"endHours":9.310541197309927,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.310541197309927,"endHours":10.310541197309927,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.310541197309927,"endHours":11.310541197309927,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.310541197309927,"endHours":12.310541197309927,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.310541197309927,"endHours":13.310541197309927,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.310541197309927,"endHours":14.310541197309927,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.310541197309927,"endHours":15.310541197309927,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.310541197309927,"endHours":16.310541197309927,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.310541197309927,"endHours":17.310541197309927,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.310541197309927,"endHours":18.310541197309927,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.310541197309927,"endHours":19.310541197309927,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.310541197309927,"endHours":20.310541197309927,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.310541197309927,"endHours":21.310541197309927,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.310541197309927,"endHours":22.310541197309927,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.310541197309927,"endHours":23.310541197309927,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.310541197309927,"endHours":24.310541197309927,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.310541197309927,"endHours":25.310541197309927,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.310541197309927,"endHours":26.310541197309927,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.310541197309927,"endHours":27.310541197309927,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.310541197309927,"endHours":28.310541197309927,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.310541197309927,"endHours":29.310541197309927,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.310541197309927,"endHours":30.310541197309927,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","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":-8.570003557728834,"eotMinutes":14.85683037130801,"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 Aṣṭamī · 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":"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 15, 2033 CE · Mathurā · Vidhyamitra","description":"October 15, 2033 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:19, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2033-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2033-10-15","sa":"https://sa.vidhyamitra.com/city/mathura/2033-10-15","hi":"https://hi.vidhyamitra.com/city/mathura/2033-10-15","x-default":"https://vidhyamitra.com/city/mathura/2033-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:48:56.945Z","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":"2026-05-14T14:48:56.945Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:48:56.945Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}