{"id":"vidhyamitra:city-day:vrindavan:2064-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2064-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-01-31","date_display":"January 31, 2064 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":2064,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474950.770833,"kali_year":5165,"ahargana":1886485.2708,"sun":{"sidereal_longitude":286.0413,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":68.1789,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.1377,"elapsed_within_tithi_degrees":10.1377},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.1789,"elapsed_within_degrees":1.5123},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.2202},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2064,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2474950.770833,"ahargana":1886485.2708,"kali_year":5165,"ayanamsa_lahiri":24.7482,"grahas":{"sun":{"sidereal_longitude":286.188138,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":67.72103800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.7623},"mars":{"sidereal_longitude":333.291338,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":272.68603800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":165.079338,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"venus":{"sidereal_longitude":256.916238,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":89.817138,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.9319,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.9319,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2064,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474950.770833,"kali_year":5165,"ahargana":1886485.2708,"sun":{"sidereal_longitude":286.0413,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":68.1789,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.1377,"elapsed_within_tithi_degrees":10.1377},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.1789,"elapsed_within_degrees":1.5123},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.2202},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.762,"elongation":142.138},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.762,"opposition_distance":37.862}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":1.185,"opposition_distance":0.381},{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":-0.177,"elongation":1.584}]},"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":"07:07","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.871000126455268,"dayLengthDisplay":"10 Hours 52 Mins 16 Secs","nightLengthDisplay":"13 Hours 07 Mins 44 Secs","moonriseLocal":"15:04","moonsetLocal":"04:54","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:16","startHours":13.907081491504275,"endHours":15.265956507311184,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:28","startHours":7.112706412469733,"endHours":8.471581428276641,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:11","startHours":9.83045644408355,"endHours":11.189331459890457,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.649273108642628,"endHours":10.011639779524472,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.5656647510720365,"endHours":7.85555808777751,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.185839804815526,"endHours":12.91057314657921,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.663239728942364,"endHours":6.387973070706049,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:07","startHours":6.206789735265128,"endHours":7.112706412469733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.36003983010658,"endHours":15.084773171870264,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.783706538925003,"endHours":18.183706538925,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.983706538925002,"endHours":18.436664877527306,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.733706538925002,"endHours":19.483706538925002,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.18583980481553,"endHours":24.91057314657921,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:28","startHours":7.112706412469733,"endHours":8.471581428276641,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:50","startHours":8.471581428276641,"endHours":9.83045644408355,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:11","startHours":9.83045644408355,"endHours":11.189331459890457,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:33","startHours":11.189331459890457,"endHours":12.548206475697366,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:54","startHours":12.548206475697366,"endHours":13.907081491504275,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:16","startHours":13.907081491504275,"endHours":15.265956507311184,"quality":"auspicious"},{"name":"Kāla","start":"15:16","end":"16:37","startHours":15.265956507311184,"endHours":16.624831523118093,"quality":"inauspicious"},{"name":"Śubha","start":"16:37","end":"17:59","startHours":16.624831523118093,"endHours":17.983706538925002,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:37","startHours":17.983706538925002,"endHours":19.624831523118093,"quality":"auspicious"},{"name":"Kāla","start":"19:37","end":"21:16","startHours":19.624831523118093,"endHours":21.265956507311184,"quality":"inauspicious"},{"name":"Śubha","start":"21:16","end":"22:54","startHours":21.265956507311184,"endHours":22.90708149150428,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:33","startHours":22.90708149150428,"endHours":24.54820647569737,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:11","startHours":24.54820647569737,"endHours":26.18933145989046,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:50","startHours":26.18933145989046,"endHours":27.830456444083552,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:28","startHours":27.830456444083552,"endHours":29.471581428276643,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:07","startHours":29.471581428276643,"endHours":31.112706412469734,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.112706412469733,"endHours":8.112706412469734,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.112706412469734,"endHours":9.112706412469734,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.112706412469734,"endHours":10.112706412469734,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.112706412469734,"endHours":11.112706412469734,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.112706412469734,"endHours":12.112706412469734,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.112706412469734,"endHours":13.112706412469734,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.112706412469734,"endHours":14.112706412469734,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.112706412469734,"endHours":15.112706412469734,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.112706412469734,"endHours":16.112706412469734,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.112706412469734,"endHours":17.112706412469734,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.112706412469734,"endHours":18.112706412469734,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.112706412469734,"endHours":19.112706412469734,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.112706412469734,"endHours":20.112706412469734,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.112706412469734,"endHours":21.112706412469734,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.112706412469734,"endHours":22.112706412469734,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.112706412469734,"endHours":23.112706412469734,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.112706412469734,"endHours":24.112706412469734,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.112706412469734,"endHours":25.112706412469734,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.112706412469734,"endHours":26.112706412469734,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.112706412469734,"endHours":27.112706412469734,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.112706412469734,"endHours":28.112706412469734,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.112706412469734,"endHours":29.112706412469734,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.112706412469734,"endHours":30.112706412469734,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.112706412469734,"endHours":31.112706412469734,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","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":-17.48536858188217,"eotMinutes":-13.52958854184206,"ayanamsa":24.7482}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Dvādaśī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 31, 2064 CE · Vṛndāvana · Vidhyamitra","description":"January 31, 2064 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2064-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2064-01-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2064-01-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2064-01-31","x-default":"https://vidhyamitra.com/city/vrindavan/2064-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:21:03.386Z","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":"2026-06-01T09:21:03.386Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:21:03.386Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}