{"id":"vidhyamitra:city-day:mathura:2033-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2033-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-01-16","date_display":"January 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":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463613.770833,"kali_year":5134,"ahargana":1875148.2708,"sun":{"sidereal_longitude":271.7155,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":99.2743,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.5588,"elapsed_within_tithi_degrees":7.5588},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.2743,"elapsed_within_degrees":5.941},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.9898},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463613.770833,"ahargana":1875148.2708,"kali_year":5134,"ayanamsa_lahiri":24.3146,"grahas":{"sun":{"sidereal_longitude":271.897295,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":97.49179500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.4908},"mars":{"sidereal_longitude":202.80189500000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":273.42559499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":285.48859500000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":318.36389499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":67.375495,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":185.6208,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.6208,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463613.770833,"kali_year":5134,"ahargana":1875148.2708,"sun":{"sidereal_longitude":271.7155,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":99.2743,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.5588,"elapsed_within_tithi_degrees":7.5588},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.2743,"elapsed_within_degrees":5.941},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.9898},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":172.441},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":7.559}},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.607755142120205,"dayLengthDisplay":"10 Hours 36 Mins 28 Secs","nightLengthDisplay":"13 Hours 23 Mins 32 Secs","moonriseLocal":"18:05","moonsetLocal":"07:37","rahuKala":{"name":"Rāhu Kāla","start":"16:28","end":"17:47","startHours":16.46120987065804,"endHours":17.787179263423063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"13:49","startHours":12.48330169236296,"endHours":13.809271085127987,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:08","end":"16:28","startHours":15.135240477893014,"endHours":16.46120987065804,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.654566987797573,"endHours":10.008158825868247,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.621413918891201,"endHours":7.90428738934774,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.129709854292287,"endHours":12.836893530433635,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.765056769020165,"endHours":6.472240445161512,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.295444526126175,"endHours":7.179424121302859,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:58","startHours":14.251260882716329,"endHours":14.958444558857675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.587179263423064,"endHours":17.987179263423062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:14","startHours":17.787179263423063,"endHours":18.229169061011405,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.537179263423063,"endHours":19.287179263423063,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.129709854292287,"endHours":24.836893530433635,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:30","startHours":7.179424121302859,"endHours":8.505393514067885,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.505393514067885,"endHours":9.831362906832911,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.831362906832911,"endHours":11.157332299597936,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:29","startHours":11.157332299597936,"endHours":12.48330169236296,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"13:49","startHours":12.48330169236296,"endHours":13.809271085127987,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:08","startHours":13.809271085127987,"endHours":15.135240477893014,"quality":"auspicious"},{"name":"Roga","start":"15:08","end":"16:28","startHours":15.135240477893014,"endHours":16.46120987065804,"quality":"inauspicious"},{"name":"Udveg","start":"16:28","end":"17:47","startHours":16.46120987065804,"endHours":17.787179263423063,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:47","end":"19:28","startHours":17.787179263423063,"endHours":19.46120987065804,"quality":"auspicious"},{"name":"Roga","start":"19:28","end":"21:08","startHours":19.46120987065804,"endHours":21.135240477893014,"quality":"inauspicious"},{"name":"Udveg","start":"21:08","end":"22:49","startHours":21.135240477893014,"endHours":22.809271085127985,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:29","startHours":22.809271085127985,"endHours":24.48330169236296,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"02:09","startHours":24.48330169236296,"endHours":26.157332299597936,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.157332299597936,"endHours":27.831362906832908,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.831362906832908,"endHours":29.505393514067883,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:11","startHours":29.505393514067883,"endHours":31.17942412130286,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.179424121302859,"endHours":8.179424121302858,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.179424121302858,"endHours":9.179424121302858,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.179424121302858,"endHours":10.179424121302858,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.179424121302858,"endHours":11.179424121302858,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.179424121302858,"endHours":12.179424121302858,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.179424121302858,"endHours":13.179424121302858,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.179424121302858,"endHours":14.179424121302858,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.179424121302858,"endHours":15.179424121302858,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.179424121302858,"endHours":16.17942412130286,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17942412130286,"endHours":17.17942412130286,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17942412130286,"endHours":18.17942412130286,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17942412130286,"endHours":19.17942412130286,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17942412130286,"endHours":20.17942412130286,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17942412130286,"endHours":21.17942412130286,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17942412130286,"endHours":22.17942412130286,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17942412130286,"endHours":23.17942412130286,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17942412130286,"endHours":24.17942412130286,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17942412130286,"endHours":25.17942412130286,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17942412130286,"endHours":26.17942412130286,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17942412130286,"endHours":27.17942412130286,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17942412130286,"endHours":28.17942412130286,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17942412130286,"endHours":29.17942412130286,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17942412130286,"endHours":30.17942412130286,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17942412130286,"endHours":31.17942412130286,"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":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.905784653792036,"eotMinutes":-9.692901541777706,"ayanamsa":24.3146}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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 January 16, 2033 CE · Mathurā · Vidhyamitra","description":"January 16, 2033 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2033-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2033-01-16","sa":"https://sa.vidhyamitra.com/city/mathura/2033-01-16","hi":"https://hi.vidhyamitra.com/city/mathura/2033-01-16","x-default":"https://vidhyamitra.com/city/mathura/2033-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:06:30.836Z","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":"2026-05-14T12:06:30.836Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:06:30.836Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}