{"id":"vidhyamitra:city-day:vrindavan:2057-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2057-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-01-10","date_display":"January 10, 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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472373.770833,"kali_year":5158,"ahargana":1883908.2708,"sun":{"sidereal_longitude":265.3363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":324.3217,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.9854,"elapsed_within_tithi_degrees":10.9854},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3217,"elapsed_within_degrees":4.3217},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.658},"karana":{"half_tithi_index":9,"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":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472373.770833,"ahargana":1883908.2708,"kali_year":5158,"ayanamsa_lahiri":24.6496,"grahas":{"sun":{"sidereal_longitude":265.627198,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":325.59539799999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.0032},"mars":{"sidereal_longitude":104.40769799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":241.44579799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":290.952998,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":311.723398,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":351.156998,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":81.4738,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.4738,"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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472373.770833,"kali_year":5158,"ahargana":1883908.2708,"sun":{"sidereal_longitude":265.3363,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":324.3217,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.9854,"elapsed_within_tithi_degrees":10.9854},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3217,"elapsed_within_degrees":4.3217},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.658},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.003,"elongation":58.985},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.003,"opposition_distance":121.015}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-1.281,"opposition_distance":0.114},{"offset_days":11,"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":"07:11","sunsetLocal":"17:43","solarNoonLocal":"12:27","dayLengthHours":10.522241505690788,"dayLengthDisplay":"10 Hours 31 Mins 20 Secs","nightLengthDisplay":"13 Hours 28 Mins 40 Secs","moonriseLocal":"10:32","moonsetLocal":"22:21","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"13:46","startHours":12.447702063742767,"endHours":13.762982251954114,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:49","startHours":8.50186149910872,"endHours":9.817141687320069,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:27","startHours":11.132421875531417,"endHours":12.447702063742767,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.641770995558556,"endHours":9.992512379081582,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.625008040301155,"endHours":7.905601147119576,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.096960680219741,"endHours":12.798443447265793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783615776805267,"endHours":6.485098543851319,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309727852089806,"endHours":7.186581310897372,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.201408981357897,"endHours":14.902891748403949,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.50882281658816,"endHours":17.90882281658816,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.70882281658816,"endHours":18.147249545991944,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.45882281658816,"endHours":19.20882281658816,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.09696068021974,"endHours":24.798443447265793,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:30","startHours":7.186581310897372,"endHours":8.50186149910872,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:49","startHours":8.50186149910872,"endHours":9.817141687320069,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:08","startHours":9.817141687320069,"endHours":11.132421875531417,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:27","startHours":11.132421875531417,"endHours":12.447702063742767,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"13:46","startHours":12.447702063742767,"endHours":13.762982251954114,"quality":"inauspicious"},{"name":"Udveg","start":"13:46","end":"15:05","startHours":13.762982251954114,"endHours":15.078262440165464,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:24","startHours":15.078262440165464,"endHours":16.393542628376814,"quality":"neutral"},{"name":"Labha","start":"16:24","end":"17:43","startHours":16.393542628376814,"endHours":17.70882281658816,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:43","end":"19:24","startHours":17.70882281658816,"endHours":19.39354262837681,"quality":"inauspicious"},{"name":"Chala","start":"19:24","end":"21:05","startHours":19.39354262837681,"endHours":21.078262440165464,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:46","startHours":21.078262440165464,"endHours":22.762982251954114,"quality":"auspicious"},{"name":"Amṛta","start":"22:46","end":"00:27","startHours":22.762982251954114,"endHours":24.447702063742767,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"02:08","startHours":24.447702063742767,"endHours":26.132421875531417,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:49","startHours":26.132421875531417,"endHours":27.817141687320067,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:30","startHours":27.817141687320067,"endHours":29.50186149910872,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:11","startHours":29.50186149910872,"endHours":31.186581310897374,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.186581310897372,"endHours":8.186581310897372,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.186581310897372,"endHours":9.186581310897372,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.186581310897372,"endHours":10.186581310897372,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.186581310897372,"endHours":11.186581310897372,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.186581310897372,"endHours":12.186581310897372,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.186581310897372,"endHours":13.186581310897372,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.186581310897372,"endHours":14.186581310897372,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.186581310897372,"endHours":15.186581310897372,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.186581310897372,"endHours":16.186581310897374,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.186581310897374,"endHours":17.186581310897374,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.186581310897374,"endHours":18.186581310897374,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.186581310897374,"endHours":19.186581310897374,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.186581310897374,"endHours":20.186581310897374,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.186581310897374,"endHours":21.186581310897374,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.186581310897374,"endHours":22.186581310897374,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.186581310897374,"endHours":23.186581310897374,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.186581310897374,"endHours":24.186581310897374,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.186581310897374,"endHours":25.186581310897374,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.186581310897374,"endHours":26.186581310897374,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.186581310897374,"endHours":27.186581310897374,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.186581310897374,"endHours":28.186581310897374,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.186581310897374,"endHours":29.186581310897374,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.186581310897374,"endHours":30.186581310897374,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.186581310897374,"endHours":31.186581310897374,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.905986327909133,"eotMinutes":-7.499323824565993,"ayanamsa":24.6496}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"festivals":[],"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":[]},"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 10, 2057 CE · Vṛndāvana · Vidhyamitra","description":"January 10, 2057 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 07:11, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2057-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2057-01-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2057-01-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2057-01-10","x-default":"https://vidhyamitra.com/city/vrindavan/2057-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:00:16.797Z","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":"2026-06-02T11:00:16.797Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:00:16.797Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}