{"id":"vidhyamitra:city-day:mathura:2040-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-01","date_display":"December 1, 2040 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":2040,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466489.770833,"kali_year":5142,"ahargana":1878024.2708,"sun":{"sidereal_longitude":224.4309,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":182.7637,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.3327,"elapsed_within_tithi_degrees":6.3327},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.7637,"elapsed_within_degrees":9.4303},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1946},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2040,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466489.770833,"ahargana":1878024.2708,"kali_year":5142,"ayanamsa_lahiri":24.4246,"grahas":{"sun":{"sidereal_longitude":225.02971000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":182.95901000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":2.2803},"mars":{"sidereal_longitude":229.02730999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":216.94231000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":179.06151,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":268.66641000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":176.02130999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":33.2364,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":213.2364,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":2040,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466489.770833,"kali_year":5142,"ahargana":1878024.2708,"sun":{"sidereal_longitude":224.4309,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":182.7637,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.3327,"elapsed_within_tithi_degrees":6.3327},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.7637,"elapsed_within_degrees":9.4303},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1946},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.28,"elongation":41.667},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.28,"opposition_distance":138.333}},"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":"06:53","sunsetLocal":"17:25","solarNoonLocal":"12:09","dayLengthHours":10.530455693152895,"dayLengthDisplay":"10 Hours 31 Mins 50 Secs","nightLengthDisplay":"13 Hours 28 Mins 10 Secs","moonriseLocal":"03:40","moonsetLocal":"15:01","rahuKala":{"name":"Rāhu Kāla","start":"09:31","end":"10:50","startHours":9.520288566705103,"endHours":10.836595528349214,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:28","end":"14:47","startHours":13.46920945163744,"endHours":14.78551641328155,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:53","end":"08:12","startHours":6.887674643416879,"endHours":8.203981605060992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:42","startHours":9.344780971819223,"endHours":9.695796161590984,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:36","startHours":7.326443630631584,"endHours":7.607255782448994,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:30","startHours":11.801887300221564,"endHours":12.50391767976509,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:11","startHours":5.483613884329827,"endHours":6.185644263873353,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:01","end":"06:53","startHours":6.010136668987472,"endHours":6.887674643416879,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:37","startHours":13.907978438852142,"endHours":14.610008818395668,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.218130336569775,"endHours":17.618130336569774,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:51","startHours":17.418130336569774,"endHours":17.85689932378448,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.168130336569774,"endHours":18.918130336569774,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:30","startHours":23.801887300221562,"endHours":24.50391767976509,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:53","end":"08:12","startHours":6.887674643416879,"endHours":8.203981605060992,"quality":"inauspicious"},{"name":"Śubha","start":"08:12","end":"09:31","startHours":8.203981605060992,"endHours":9.520288566705103,"quality":"auspicious"},{"name":"Roga","start":"09:31","end":"10:50","startHours":9.520288566705103,"endHours":10.836595528349214,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:09","startHours":10.836595528349214,"endHours":12.152902489993327,"quality":"inauspicious"},{"name":"Chala","start":"12:09","end":"13:28","startHours":12.152902489993327,"endHours":13.46920945163744,"quality":"neutral"},{"name":"Labha","start":"13:28","end":"14:47","startHours":13.46920945163744,"endHours":14.78551641328155,"quality":"auspicious"},{"name":"Amṛta","start":"14:47","end":"16:06","startHours":14.78551641328155,"endHours":16.10182337492566,"quality":"auspicious"},{"name":"Kāla","start":"16:06","end":"17:25","startHours":16.10182337492566,"endHours":17.418130336569774,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:25","end":"19:06","startHours":17.418130336569774,"endHours":19.10182337492566,"quality":"auspicious"},{"name":"Amṛta","start":"19:06","end":"20:47","startHours":19.10182337492566,"endHours":20.78551641328155,"quality":"auspicious"},{"name":"Kāla","start":"20:47","end":"22:28","startHours":20.78551641328155,"endHours":22.46920945163744,"quality":"inauspicious"},{"name":"Śubha","start":"22:28","end":"00:09","startHours":22.46920945163744,"endHours":24.152902489993327,"quality":"auspicious"},{"name":"Roga","start":"00:09","end":"01:50","startHours":24.152902489993327,"endHours":25.836595528349214,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:31","startHours":25.836595528349214,"endHours":27.520288566705105,"quality":"inauspicious"},{"name":"Chala","start":"03:31","end":"05:12","startHours":27.520288566705105,"endHours":29.203981605060992,"quality":"neutral"},{"name":"Labha","start":"05:12","end":"06:53","startHours":29.203981605060992,"endHours":30.88767464341688,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:53","end":"07:53","startHours":6.887674643416879,"endHours":7.887674643416879,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:53","end":"08:53","startHours":7.887674643416879,"endHours":8.88767464341688,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:53","end":"09:53","startHours":8.88767464341688,"endHours":9.88767464341688,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:53","end":"10:53","startHours":9.88767464341688,"endHours":10.88767464341688,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:53","end":"11:53","startHours":10.88767464341688,"endHours":11.88767464341688,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:53","end":"12:53","startHours":11.88767464341688,"endHours":12.88767464341688,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:53","end":"13:53","startHours":12.88767464341688,"endHours":13.88767464341688,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:53","end":"14:53","startHours":13.88767464341688,"endHours":14.88767464341688,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:53","end":"15:53","startHours":14.88767464341688,"endHours":15.88767464341688,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:53","end":"16:53","startHours":15.88767464341688,"endHours":16.88767464341688,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:53","end":"17:53","startHours":16.88767464341688,"endHours":17.88767464341688,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:53","end":"18:53","startHours":17.88767464341688,"endHours":18.88767464341688,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:53","end":"19:53","startHours":18.88767464341688,"endHours":19.88767464341688,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:53","end":"20:53","startHours":19.88767464341688,"endHours":20.88767464341688,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:53","end":"21:53","startHours":20.88767464341688,"endHours":21.88767464341688,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:53","end":"22:53","startHours":21.88767464341688,"endHours":22.88767464341688,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:53","end":"23:53","startHours":22.88767464341688,"endHours":23.88767464341688,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:53","end":"00:53","startHours":23.88767464341688,"endHours":24.88767464341688,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:53","end":"01:53","startHours":24.88767464341688,"endHours":25.88767464341688,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:53","end":"02:53","startHours":25.88767464341688,"endHours":26.88767464341688,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:53","end":"03:53","startHours":26.88767464341688,"endHours":27.88767464341688,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:53","end":"04:53","startHours":27.88767464341688,"endHours":28.88767464341688,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:53","end":"05:53","startHours":28.88767464341688,"endHours":29.88767464341688,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:53","end":"06:53","startHours":29.88767464341688,"endHours":30.88767464341688,"planetary_lord":"Mercury"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","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":-21.86579097297362,"eotMinutes":10.131050600400467,"ayanamsa":24.4246}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":"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":[]},"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 1, 2040 CE · Mathurā · Vidhyamitra","description":"December 1, 2040 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 06:53, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-12-01","sa":"https://sa.vidhyamitra.com/city/mathura/2040-12-01","hi":"https://hi.vidhyamitra.com/city/mathura/2040-12-01","x-default":"https://vidhyamitra.com/city/mathura/2040-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:32:51.632Z","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":"2026-05-14T20:32:51.632Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:32:51.632Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}