{"id":"vidhyamitra:city-day:mathura:2033-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2033-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-12-07","date_display":"December 7, 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":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463938.770833,"kali_year":5135,"ahargana":1875473.2708,"sun":{"sidereal_longitude":230.3721,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":61.417,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.0448,"elapsed_within_tithi_degrees":11.0448},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.417,"elapsed_within_degrees":8.0836},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.7891},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463938.770833,"ahargana":1875473.2708,"kali_year":5135,"ayanamsa_lahiri":24.327,"grahas":{"sun":{"sidereal_longitude":230.90797700000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":60.80577699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-4.3034},"mars":{"sidereal_longitude":309.100777,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":221.223477,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":305.82867699999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":223.68577700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":85.61647700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":168.4007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.4007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463938.770833,"kali_year":5135,"ahargana":1875473.2708,"sun":{"sidereal_longitude":230.3721,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":61.417,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.0448,"elapsed_within_tithi_degrees":11.0448},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.417,"elapsed_within_degrees":8.0836},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.7891},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.303,"elongation":168.955},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.303,"opposition_distance":11.045}},"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":"06:58","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.469009459966031,"dayLengthDisplay":"10 Hours 28 Mins 08 Secs","nightLengthDisplay":"13 Hours 31 Mins 52 Secs","moonriseLocal":"17:56","moonsetLocal":"07:46","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:30","startHours":12.193025057944379,"endHours":13.501651240440133,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:16","end":"09:35","startHours":8.267146510457117,"endHours":9.57577269295287,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:12","startHours":10.884398875448625,"endHours":12.193025057944379,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.401289201953436,"endHours":9.750256183952304,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:40","startHours":7.394729055459947,"endHours":7.6739026410590405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:33","startHours":11.844058075945512,"endHours":12.541992039943246,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:16","startHours":5.5626523999658914,"endHours":6.260586363963626,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:58","startHours":6.086102872964193,"endHours":6.958520327961362,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.937859967938717,"endHours":14.635793931936453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.227529787927395,"endHours":17.627529787927394,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.427529787927394,"endHours":17.86373851542598,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.177529787927394,"endHours":18.927529787927394,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:33","startHours":23.84405807594551,"endHours":24.541992039943246,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:58","end":"08:16","startHours":6.958520327961362,"endHours":8.267146510457117,"quality":"auspicious"},{"name":"Amṛta","start":"08:16","end":"09:35","startHours":8.267146510457117,"endHours":9.57577269295287,"quality":"auspicious"},{"name":"Kāla","start":"09:35","end":"10:53","startHours":9.57577269295287,"endHours":10.884398875448625,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:12","startHours":10.884398875448625,"endHours":12.193025057944379,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:30","startHours":12.193025057944379,"endHours":13.501651240440133,"quality":"inauspicious"},{"name":"Udveg","start":"13:30","end":"14:49","startHours":13.501651240440133,"endHours":14.810277422935886,"quality":"inauspicious"},{"name":"Chala","start":"14:49","end":"16:07","startHours":14.810277422935886,"endHours":16.11890360543164,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:26","startHours":16.11890360543164,"endHours":17.427529787927394,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:26","end":"19:07","startHours":17.427529787927394,"endHours":19.11890360543164,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:49","startHours":19.11890360543164,"endHours":20.810277422935886,"quality":"neutral"},{"name":"Labha","start":"20:49","end":"22:30","startHours":20.810277422935886,"endHours":22.501651240440133,"quality":"auspicious"},{"name":"Amṛta","start":"22:30","end":"00:12","startHours":22.501651240440133,"endHours":24.19302505794438,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:53","startHours":24.19302505794438,"endHours":25.884398875448625,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:35","startHours":25.884398875448625,"endHours":27.57577269295287,"quality":"auspicious"},{"name":"Roga","start":"03:35","end":"05:16","startHours":27.57577269295287,"endHours":29.267146510457117,"quality":"inauspicious"},{"name":"Udveg","start":"05:16","end":"06:58","startHours":29.267146510457117,"endHours":30.958520327961363,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.958520327961362,"endHours":7.958520327961362,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.958520327961362,"endHours":8.958520327961363,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.958520327961363,"endHours":9.958520327961363,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.958520327961363,"endHours":10.958520327961363,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.958520327961363,"endHours":11.958520327961363,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.958520327961363,"endHours":12.958520327961363,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.958520327961363,"endHours":13.958520327961363,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.958520327961363,"endHours":14.958520327961363,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.958520327961363,"endHours":15.958520327961363,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.958520327961363,"endHours":16.958520327961363,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.958520327961363,"endHours":17.958520327961363,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.958520327961363,"endHours":18.958520327961363,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.958520327961363,"endHours":19.958520327961363,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.958520327961363,"endHours":20.958520327961363,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.958520327961363,"endHours":21.958520327961363,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.958520327961363,"endHours":22.958520327961363,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.958520327961363,"endHours":23.958520327961363,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.958520327961363,"endHours":24.958520327961363,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.958520327961363,"endHours":25.958520327961363,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.958520327961363,"endHours":26.958520327961363,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.958520327961363,"endHours":27.958520327961363,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.958520327961363,"endHours":28.958520327961363,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.958520327961363,"endHours":29.958520327961363,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.958520327961363,"endHours":30.958520327961363,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.61884775078768,"eotMinutes":7.723696523337262,"ayanamsa":24.327}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pratipada · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 December 7, 2033 CE · Mathurā · Vidhyamitra","description":"December 7, 2033 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 06:58, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2033-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2033-12-07","sa":"https://sa.vidhyamitra.com/city/mathura/2033-12-07","hi":"https://hi.vidhyamitra.com/city/mathura/2033-12-07","x-default":"https://vidhyamitra.com/city/mathura/2033-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:14:10.522Z","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":"2026-05-14T12:14:10.522Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:14:10.522Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}