{"id":"vidhyamitra:city-day:vrindavan:2021-01-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2021-01-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-01-26","date_display":"January 26, 2021 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2021,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459240.770833,"kali_year":5122,"ahargana":1870775.2708,"sun":{"sidereal_longitude":282.0776,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":68.2,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.1224,"elapsed_within_tithi_degrees":2.1224},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.2,"elapsed_within_degrees":1.5333},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.2775},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2021,"month":1,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459240.770833,"ahargana":1870775.2708,"kali_year":5122,"ayanamsa_lahiri":24.1473,"grahas":{"sun":{"sidereal_longitude":282.15207499999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":69.03877499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":0.8483},"mars":{"sidereal_longitude":14.999874999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":300.223875,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":284.49447499999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":267.38947499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":280.4251750000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":57.3233,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":237.3233,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2021,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459240.770833,"kali_year":5122,"ahargana":1870775.2708,"sun":{"sidereal_longitude":282.0776,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":68.2,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.1224,"elapsed_within_tithi_degrees":2.1224},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.2,"elapsed_within_degrees":1.5333},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.2775},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.848,"elongation":146.122},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.848,"opposition_distance":33.878}},"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":10.777548978366752,"dayLengthDisplay":"10 Hours 46 Mins 39 Secs","nightLengthDisplay":"13 Hours 13 Mins 21 Secs","moonriseLocal":"15:24","moonsetLocal":"05:15","rahuKala":{"name":"Rāhu Kāla","start":"15:14","end":"16:34","startHours":15.2261470021522,"endHours":16.573340624448043,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:11","startHours":9.837372512968823,"endHours":11.184566135264667,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:32","end":"13:53","startHours":12.531759757560511,"endHours":13.878953379856355,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65774669666271,"endHours":10.016998329274935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.592049809142416,"endHours":7.879451115232196,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.172508124948287,"endHours":12.891011390172736,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:25","startHours":5.705978737928234,"endHours":6.424482003152684,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.2448561868465715,"endHours":7.142985268377134,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:03","startHours":14.328017920621637,"endHours":15.046521185846087,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.720534246743888,"endHours":18.120534246743887,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:22","startHours":17.920534246743888,"endHours":18.36959878750917,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.670534246743888,"endHours":19.420534246743888,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.172508124948287,"endHours":24.891011390172736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:29","startHours":7.142985268377134,"endHours":8.49017889067298,"quality":"inauspicious"},{"name":"Udveg","start":"08:29","end":"09:50","startHours":8.49017889067298,"endHours":9.837372512968823,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:11","startHours":9.837372512968823,"endHours":11.184566135264667,"quality":"neutral"},{"name":"Labha","start":"11:11","end":"12:32","startHours":11.184566135264667,"endHours":12.531759757560511,"quality":"auspicious"},{"name":"Amṛta","start":"12:32","end":"13:53","startHours":12.531759757560511,"endHours":13.878953379856355,"quality":"auspicious"},{"name":"Kāla","start":"13:53","end":"15:14","startHours":13.878953379856355,"endHours":15.2261470021522,"quality":"inauspicious"},{"name":"Śubha","start":"15:14","end":"16:34","startHours":15.2261470021522,"endHours":16.573340624448043,"quality":"auspicious"},{"name":"Roga","start":"16:34","end":"17:55","startHours":16.573340624448043,"endHours":17.920534246743888,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:55","end":"19:34","startHours":17.920534246743888,"endHours":19.573340624448043,"quality":"inauspicious"},{"name":"Śubha","start":"19:34","end":"21:14","startHours":19.573340624448043,"endHours":21.2261470021522,"quality":"auspicious"},{"name":"Roga","start":"21:14","end":"22:53","startHours":21.2261470021522,"endHours":22.878953379856355,"quality":"inauspicious"},{"name":"Udveg","start":"22:53","end":"00:32","startHours":22.878953379856355,"endHours":24.53175975756051,"quality":"inauspicious"},{"name":"Chala","start":"00:32","end":"02:11","startHours":24.53175975756051,"endHours":26.184566135264667,"quality":"neutral"},{"name":"Labha","start":"02:11","end":"03:50","startHours":26.184566135264667,"endHours":27.837372512968823,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:29","startHours":27.837372512968823,"endHours":29.49017889067298,"quality":"auspicious"},{"name":"Kāla","start":"05:29","end":"07:09","startHours":29.49017889067298,"endHours":31.142985268377135,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.142985268377134,"endHours":8.142985268377135,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.142985268377135,"endHours":9.142985268377135,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.142985268377135,"endHours":10.142985268377135,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.142985268377135,"endHours":11.142985268377135,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.142985268377135,"endHours":12.142985268377135,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.142985268377135,"endHours":13.142985268377135,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.142985268377135,"endHours":14.142985268377135,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.142985268377135,"endHours":15.142985268377135,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.142985268377135,"endHours":16.142985268377135,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.142985268377135,"endHours":17.142985268377135,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.142985268377135,"endHours":18.142985268377135,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.142985268377135,"endHours":19.142985268377135,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.142985268377135,"endHours":20.142985268377135,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.142985268377135,"endHours":21.142985268377135,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.142985268377135,"endHours":22.142985268377135,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.142985268377135,"endHours":23.142985268377135,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.142985268377135,"endHours":24.142985268377135,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.142985268377135,"endHours":25.142985268377135,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.142985268377135,"endHours":26.142985268377135,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.142985268377135,"endHours":27.142985268377135,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.142985268377135,"endHours":28.142985268377135,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.142985268377135,"endHours":29.142985268377135,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.142985268377135,"endHours":30.142985268377135,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.142985268377135,"endHours":31.142985268377135,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.69597251763975,"eotMinutes":-12.542785453630707,"ayanamsa":24.1473}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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, 2021 CE · Vṛndāvana · Vidhyamitra","description":"January 26, 2021 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 07:09, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2021-01-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2021-01-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/2021-01-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/2021-01-26","x-default":"https://vidhyamitra.com/city/vrindavan/2021-01-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T08:20:32.006Z","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":"2026-09-11T08:20:32.006Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T08:20:32.006Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}