{"id":"vidhyamitra:city-day:vrindavan:2057-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2057-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-01-31","date_display":"January 31, 2057 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":2057,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472394.770833,"kali_year":5158,"ahargana":1883929.2708,"sun":{"sidereal_longitude":286.8708,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":236.943,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.0723,"elapsed_within_tithi_degrees":10.0723},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.943,"elapsed_within_degrees":10.2763},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.8138},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2057,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472394.770833,"ahargana":1883929.2708,"kali_year":5158,"ayanamsa_lahiri":24.6504,"grahas":{"sun":{"sidereal_longitude":286.995096,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":235.18789600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":1.7869},"mars":{"sidereal_longitude":96.33389599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":269.341996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":295.8436959999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":328.842396,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":352.406796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":80.3611,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.3611,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":2057,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472394.770833,"kali_year":5158,"ahargana":1883929.2708,"sun":{"sidereal_longitude":286.8708,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":236.943,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.0723,"elapsed_within_tithi_degrees":10.0723},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.943,"elapsed_within_degrees":10.2763},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.8138},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.787,"elongation":49.928},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.787,"opposition_distance":130.072}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":1.392,"opposition_distance":2.293}]},"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":"07:06","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.88592658332401,"dayLengthDisplay":"10 Hours 53 Mins 09 Secs","nightLengthDisplay":"13 Hours 06 Mins 51 Secs","moonriseLocal":"03:54","moonsetLocal":"14:17","rahuKala":{"name":"Rāhu Kāla","start":"12:33","end":"13:55","startHours":12.548206475697366,"endHours":13.908947298612869,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:28","end":"09:50","startHours":8.465984006950864,"endHours":9.826724829866365,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:11","end":"12:33","startHours":11.187465652781867,"endHours":12.548206475697366,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.645292720144298,"endHours":10.008156939588432,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.5588234583405285,"endHours":7.849114833895835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.185342256253234,"endHours":12.911070695141502,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:23","startHours":5.6537863062588265,"endHours":6.379514745147095,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:06","startHours":6.198082635425028,"endHours":7.105243184035362,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.362527572918037,"endHours":15.088256011806305,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.791169767359374,"endHours":18.191169767359373,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:27","startHours":17.991169767359374,"endHours":18.44475004166454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.741169767359374,"endHours":19.491169767359374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.185342256253236,"endHours":24.911070695141504,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:06","end":"08:28","startHours":7.105243184035362,"endHours":8.465984006950864,"quality":"auspicious"},{"name":"Amṛta","start":"08:28","end":"09:50","startHours":8.465984006950864,"endHours":9.826724829866365,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:11","startHours":9.826724829866365,"endHours":11.187465652781867,"quality":"inauspicious"},{"name":"Śubha","start":"11:11","end":"12:33","startHours":11.187465652781867,"endHours":12.548206475697366,"quality":"auspicious"},{"name":"Roga","start":"12:33","end":"13:55","startHours":12.548206475697366,"endHours":13.908947298612869,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:16","startHours":13.908947298612869,"endHours":15.269688121528372,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:38","startHours":15.269688121528372,"endHours":16.63042894444387,"quality":"neutral"},{"name":"Labha","start":"16:38","end":"17:59","startHours":16.63042894444387,"endHours":17.991169767359374,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:59","end":"19:38","startHours":17.991169767359374,"endHours":19.63042894444387,"quality":"inauspicious"},{"name":"Chala","start":"19:38","end":"21:16","startHours":19.63042894444387,"endHours":21.26968812152837,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:55","startHours":21.26968812152837,"endHours":22.90894729861287,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:33","startHours":22.90894729861287,"endHours":24.54820647569737,"quality":"auspicious"},{"name":"Kāla","start":"00:33","end":"02:11","startHours":24.54820647569737,"endHours":26.187465652781867,"quality":"inauspicious"},{"name":"Śubha","start":"02:11","end":"03:50","startHours":26.187465652781867,"endHours":27.826724829866365,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:28","startHours":27.826724829866365,"endHours":29.465984006950862,"quality":"inauspicious"},{"name":"Udveg","start":"05:28","end":"07:06","startHours":29.465984006950862,"endHours":31.105243184035363,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.105243184035362,"endHours":8.105243184035363,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.105243184035363,"endHours":9.105243184035363,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.105243184035363,"endHours":10.105243184035363,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.105243184035363,"endHours":11.105243184035363,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.105243184035363,"endHours":12.105243184035363,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.105243184035363,"endHours":13.105243184035363,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.105243184035363,"endHours":14.105243184035363,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.105243184035363,"endHours":15.105243184035363,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.105243184035363,"endHours":16.105243184035363,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.105243184035363,"endHours":17.105243184035363,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.105243184035363,"endHours":18.105243184035363,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.105243184035363,"endHours":19.105243184035363,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.105243184035363,"endHours":20.105243184035363,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.105243184035363,"endHours":21.105243184035363,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.105243184035363,"endHours":22.105243184035363,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.105243184035363,"endHours":23.105243184035363,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.105243184035363,"endHours":24.105243184035363,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.105243184035363,"endHours":25.105243184035363,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.105243184035363,"endHours":26.105243184035363,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.105243184035363,"endHours":27.105243184035363,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.105243184035363,"endHours":28.105243184035363,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.105243184035363,"endHours":29.105243184035363,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.105243184035363,"endHours":30.105243184035363,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.105243184035363,"endHours":31.105243184035363,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.29033404642651,"eotMinutes":-13.52958854184206,"ayanamsa":24.6504}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ekādaśī · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[{"id":"shattila-ekadashi","name":"Ṣaṭ-tilā Ekādaśī","name_sanskrit":"षट्तिला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Six uses of tila (sesame) on this Ekādaśī confer mokṣa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 31, 2057 CE · Vṛndāvana · Vidhyamitra","description":"January 31, 2057 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 07:06, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2057-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2057-01-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2057-01-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2057-01-31","x-default":"https://vidhyamitra.com/city/vrindavan/2057-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:38:14.543Z","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":"2026-06-03T03:38:14.543Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:38:14.543Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}