{"id":"vidhyamitra:city-day:mathura:2040-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-31","date_display":"January 31, 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":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466184.770833,"kali_year":5141,"ahargana":1877719.2708,"sun":{"sidereal_longitude":286.2562,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":126.8023,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.5461,"elapsed_within_tithi_degrees":8.5461},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":126.8023,"elapsed_within_degrees":6.8023},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":53.0584},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466184.770833,"ahargana":1877719.2708,"kali_year":5141,"ayanamsa_lahiri":24.4129,"grahas":{"sun":{"sidereal_longitude":286.345463,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":125.58146299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":4.3915},"mars":{"sidereal_longitude":68.59686299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":302.35836300000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":156.33396300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":255.71166300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":166.79646300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":49.3968,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":229.3968,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2040,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466184.770833,"kali_year":5141,"ahargana":1877719.2708,"sun":{"sidereal_longitude":286.2562,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":126.8023,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.5461,"elapsed_within_tithi_degrees":8.5461},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":126.8023,"elapsed_within_degrees":6.8023},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":53.0584},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.392,"elongation":159.454},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.392,"opposition_distance":20.546}},"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":"07:07","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.871123830874545,"dayLengthDisplay":"10 Hours 52 Mins 16 Secs","nightLengthDisplay":"13 Hours 07 Mins 44 Secs","moonriseLocal":"19:23","moonsetLocal":"08:17","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:37","startHours":15.265027433416002,"endHours":16.62391791227532,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:11","startHours":9.82946551797873,"endHours":11.188355996838048,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:33","end":"13:54","startHours":12.547246475697367,"endHours":13.906136954556684,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.648280120797487,"endHours":10.010650915159973,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.5646480532132,"endHours":7.854544688703188,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.184875681334882,"endHours":12.909617270059853,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.662201382810155,"endHours":6.386942971535124,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:07","startHours":6.205757574353882,"endHours":7.111684560260094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.359100447509789,"endHours":15.083842036234758,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78280839113464,"endHours":18.18280839113464,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.98280839113464,"endHours":18.435771884087746,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73280839113464,"endHours":19.48280839113464,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.184875681334884,"endHours":24.90961727005985,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:07","end":"08:28","startHours":7.111684560260094,"endHours":8.470575039119412,"quality":"inauspicious"},{"name":"Udveg","start":"08:28","end":"09:50","startHours":8.470575039119412,"endHours":9.82946551797873,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:11","startHours":9.82946551797873,"endHours":11.188355996838048,"quality":"neutral"},{"name":"Labha","start":"11:11","end":"12:33","startHours":11.188355996838048,"endHours":12.547246475697367,"quality":"auspicious"},{"name":"Amṛta","start":"12:33","end":"13:54","startHours":12.547246475697367,"endHours":13.906136954556684,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:16","startHours":13.906136954556684,"endHours":15.265027433416002,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:37","startHours":15.265027433416002,"endHours":16.62391791227532,"quality":"auspicious"},{"name":"Roga","start":"16:37","end":"17:59","startHours":16.62391791227532,"endHours":17.98280839113464,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:59","end":"19:37","startHours":17.98280839113464,"endHours":19.62391791227532,"quality":"inauspicious"},{"name":"Śubha","start":"19:37","end":"21:16","startHours":19.62391791227532,"endHours":21.265027433416,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:54","startHours":21.265027433416,"endHours":22.906136954556686,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:33","startHours":22.906136954556686,"endHours":24.547246475697367,"quality":"inauspicious"},{"name":"Chala","start":"00:33","end":"02:11","startHours":24.547246475697367,"endHours":26.188355996838048,"quality":"neutral"},{"name":"Labha","start":"02:11","end":"03:50","startHours":26.188355996838048,"endHours":27.829465517978733,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:28","startHours":27.829465517978733,"endHours":29.470575039119414,"quality":"auspicious"},{"name":"Kāla","start":"05:28","end":"07:07","startHours":29.470575039119414,"endHours":31.111684560260095,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.111684560260094,"endHours":8.111684560260095,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111684560260095,"endHours":9.111684560260095,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111684560260095,"endHours":10.111684560260095,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111684560260095,"endHours":11.111684560260095,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111684560260095,"endHours":12.111684560260095,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111684560260095,"endHours":13.111684560260095,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111684560260095,"endHours":14.111684560260095,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111684560260095,"endHours":15.111684560260095,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111684560260095,"endHours":16.111684560260095,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.111684560260095,"endHours":17.111684560260095,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.111684560260095,"endHours":18.111684560260095,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.111684560260095,"endHours":19.111684560260095,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.111684560260095,"endHours":20.111684560260095,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.111684560260095,"endHours":21.111684560260095,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.111684560260095,"endHours":22.111684560260095,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.111684560260095,"endHours":23.111684560260095,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.111684560260095,"endHours":24.111684560260095,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.111684560260095,"endHours":25.111684560260095,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.111684560260095,"endHours":26.111684560260095,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.111684560260095,"endHours":27.111684560260095,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.111684560260095,"endHours":28.111684560260095,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.111684560260095,"endHours":29.111684560260095,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.111684560260095,"endHours":30.111684560260095,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.111684560260095,"endHours":31.111684560260095,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.533915504591942,"eotMinutes":-13.52958854184206,"ayanamsa":24.4129}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Dvitīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 31, 2040 CE · Mathurā · Vidhyamitra","description":"January 31, 2040 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-01-31","sa":"https://sa.vidhyamitra.com/city/mathura/2040-01-31","hi":"https://hi.vidhyamitra.com/city/mathura/2040-01-31","x-default":"https://vidhyamitra.com/city/mathura/2040-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:54:36.834Z","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":"2026-05-14T15:54:36.834Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:54:36.834Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}