{"id":"vidhyamitra:city-day:vrindavan:2031-01-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2031-01-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-01-26","date_display":"January 26, 2031 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":2031,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462892.770833,"kali_year":5132,"ahargana":1874427.2708,"sun":{"sidereal_longitude":281.4759,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":319.3468,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.871,"elapsed_within_tithi_degrees":1.871},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.3468,"elapsed_within_degrees":12.6802},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8227},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2031,"month":1,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462892.770833,"ahargana":1874427.2708,"kali_year":5132,"ayanamsa_lahiri":24.287,"grahas":{"sun":{"sidereal_longitude":281.57784200000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":320.16194199999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":4.4791},"mars":{"sidereal_longitude":189.97314200000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":264.778242,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":236.22894199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":304.612742,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":37.61114199999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":223.8228,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":43.8228,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2031,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462892.770833,"kali_year":5132,"ahargana":1874427.2708,"sun":{"sidereal_longitude":281.4759,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":319.3468,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.871,"elapsed_within_tithi_degrees":1.871},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.3468,"elapsed_within_degrees":12.6802},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.8227},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.479,"elongation":37.871},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.479,"opposition_distance":142.129}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:55","solarNoonLocal":"12:32","dayLengthHours":10.769182106983173,"dayLengthDisplay":"10 Hours 46 Mins 09 Secs","nightLengthDisplay":"13 Hours 13 Mins 51 Secs","moonriseLocal":"09:16","moonsetLocal":"20:56","rahuKala":{"name":"Rāhu Kāla","start":"16:34","end":"17:55","startHours":16.5702030476792,"endHours":17.916350811052098,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:32","end":"13:53","startHours":12.531759757560511,"endHours":13.877907520933407,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:13","end":"16:34","startHours":15.224055284306303,"endHours":16.5702030476792,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.659977862364997,"endHours":10.018950599264436,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.595884625193222,"endHours":7.8830628147127735,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.172787020661072,"endHours":12.89073249445995,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.711277756471167,"endHours":6.429223230270045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.249736861820326,"endHours":7.147168704068924,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:03","startHours":14.326623442057706,"endHours":15.044568915856583,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.7163508110521,"endHours":18.116350811052097,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:22","startHours":17.916350811052098,"endHours":18.3650667321764,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.666350811052098,"endHours":19.416350811052098,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.172787020661072,"endHours":24.89073249445995,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:30","startHours":7.147168704068924,"endHours":8.49331646744182,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.49331646744182,"endHours":9.839464230814716,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:11","startHours":9.839464230814716,"endHours":11.185611994187614,"quality":"auspicious"},{"name":"Amṛta","start":"11:11","end":"12:32","startHours":11.185611994187614,"endHours":12.531759757560511,"quality":"auspicious"},{"name":"Kāla","start":"12:32","end":"13:53","startHours":12.531759757560511,"endHours":13.877907520933407,"quality":"inauspicious"},{"name":"Śubha","start":"13:53","end":"15:13","startHours":13.877907520933407,"endHours":15.224055284306303,"quality":"auspicious"},{"name":"Roga","start":"15:13","end":"16:34","startHours":15.224055284306303,"endHours":16.5702030476792,"quality":"inauspicious"},{"name":"Udveg","start":"16:34","end":"17:55","startHours":16.5702030476792,"endHours":17.916350811052098,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:55","end":"19:34","startHours":17.916350811052098,"endHours":19.5702030476792,"quality":"auspicious"},{"name":"Roga","start":"19:34","end":"21:13","startHours":19.5702030476792,"endHours":21.224055284306303,"quality":"inauspicious"},{"name":"Udveg","start":"21:13","end":"22:53","startHours":21.224055284306303,"endHours":22.87790752093341,"quality":"inauspicious"},{"name":"Chala","start":"22:53","end":"00:32","startHours":22.87790752093341,"endHours":24.53175975756051,"quality":"neutral"},{"name":"Labha","start":"00:32","end":"02:11","startHours":24.53175975756051,"endHours":26.185611994187614,"quality":"auspicious"},{"name":"Amṛta","start":"02:11","end":"03:50","startHours":26.185611994187614,"endHours":27.83946423081472,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.83946423081472,"endHours":29.493316467441822,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:09","startHours":29.493316467441822,"endHours":31.147168704068925,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.147168704068924,"endHours":8.147168704068925,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.147168704068925,"endHours":9.147168704068925,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.147168704068925,"endHours":10.147168704068925,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.147168704068925,"endHours":11.147168704068925,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.147168704068925,"endHours":12.147168704068925,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.147168704068925,"endHours":13.147168704068925,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.147168704068925,"endHours":14.147168704068925,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.147168704068925,"endHours":15.147168704068925,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.147168704068925,"endHours":16.147168704068925,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.147168704068925,"endHours":17.147168704068925,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.147168704068925,"endHours":18.147168704068925,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.147168704068925,"endHours":19.147168704068925,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.147168704068925,"endHours":20.147168704068925,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.147168704068925,"endHours":21.147168704068925,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.147168704068925,"endHours":22.147168704068925,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.147168704068925,"endHours":23.147168704068925,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.147168704068925,"endHours":24.147168704068925,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.147168704068925,"endHours":25.147168704068925,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.147168704068925,"endHours":26.147168704068925,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.147168704068925,"endHours":27.147168704068925,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.147168704068925,"endHours":28.147168704068925,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.147168704068925,"endHours":29.147168704068925,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.147168704068925,"endHours":30.147168704068925,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.147168704068925,"endHours":31.147168704068925,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"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":-18.80346254656446,"eotMinutes":-12.542785453630707,"ayanamsa":24.287}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 26, 2031 CE · Vṛndāvana · Vidhyamitra","description":"January 26, 2031 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:09, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2031-01-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2031-01-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/2031-01-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/2031-01-26","x-default":"https://vidhyamitra.com/city/vrindavan/2031-01-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T11:56:45.462Z","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":"2026-05-15T11:56:45.462Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T11:56:45.462Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}