{"id":"vidhyamitra:city-day:vrindavan:2013-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2013-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-01-14","date_display":"January 14, 2013 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":2013,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456306.770833,"kali_year":5114,"ahargana":1867841.2708,"sun":{"sidereal_longitude":269.8416,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.7708,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.9292,"elapsed_within_tithi_degrees":5.9292},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.7708,"elapsed_within_degrees":6.4375},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.6124},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2013,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456306.770833,"ahargana":1867841.2708,"kali_year":5114,"ayanamsa_lahiri":24.0351,"grahas":{"sun":{"sidereal_longitude":269.99227599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":300.11277599999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":4.4938},"mars":{"sidereal_longitude":290.782476,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":267.1321760000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":42.342776000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":251.90407600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.13707599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":212.7808,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.7808,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456306.770833,"kali_year":5114,"ahargana":1867841.2708,"sun":{"sidereal_longitude":269.8416,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.7708,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.9292,"elapsed_within_tithi_degrees":5.9292},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.7708,"elapsed_within_degrees":6.4375},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.6124},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.494,"elongation":29.929},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.494,"opposition_distance":150.071}},"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":"07:11","sunsetLocal":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.571265073988382,"dayLengthDisplay":"10 Hours 34 Mins 17 Secs","nightLengthDisplay":"13 Hours 25 Mins 43 Secs","moonriseLocal":"08:55","moonsetLocal":"20:03","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"09:50","startHours":8.508447680576829,"endHours":9.829855814825377,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:28","startHours":11.151263949073925,"endHours":12.472672083322472,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:07","startHours":13.794080217571022,"endHours":15.115488351819568,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653668063592237,"endHours":10.006043566058517,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.627508924411131,"endHours":7.9094093263841545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.120296580856195,"endHours":12.825047585788752,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.777537536463164,"endHours":6.4822885413957225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.306100790162583,"endHours":7.187039546328282,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.23454959565387,"endHours":14.93930060058643,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.558304620316665,"endHours":17.958304620316664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:12","startHours":17.758304620316665,"endHours":18.198773998399513,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.508304620316665,"endHours":19.258304620316665,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.12029658085619,"endHours":24.825047585788752,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:31","startHours":7.187039546328282,"endHours":8.508447680576829,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"09:50","startHours":8.508447680576829,"endHours":9.829855814825377,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:09","startHours":9.829855814825377,"endHours":11.151263949073925,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:28","startHours":11.151263949073925,"endHours":12.472672083322472,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:48","startHours":12.472672083322472,"endHours":13.794080217571022,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:07","startHours":13.794080217571022,"endHours":15.115488351819568,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:26","startHours":15.115488351819568,"endHours":16.436896486068115,"quality":"auspicious"},{"name":"Amṛta","start":"16:26","end":"17:45","startHours":16.436896486068115,"endHours":17.758304620316665,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:45","end":"19:26","startHours":17.758304620316665,"endHours":19.436896486068118,"quality":"neutral"},{"name":"Labha","start":"19:26","end":"21:07","startHours":19.436896486068118,"endHours":21.115488351819568,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:48","startHours":21.115488351819568,"endHours":22.79408021757102,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:28","startHours":22.79408021757102,"endHours":24.472672083322472,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:09","startHours":24.472672083322472,"endHours":26.151263949073925,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"03:50","startHours":26.151263949073925,"endHours":27.82985581482538,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:31","startHours":27.82985581482538,"endHours":29.50844768057683,"quality":"inauspicious"},{"name":"Chala","start":"05:31","end":"07:11","startHours":29.50844768057683,"endHours":31.187039546328283,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.187039546328282,"endHours":8.187039546328283,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.187039546328283,"endHours":9.187039546328283,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.187039546328283,"endHours":10.187039546328283,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.187039546328283,"endHours":11.187039546328283,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.187039546328283,"endHours":12.187039546328283,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.187039546328283,"endHours":13.187039546328283,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.187039546328283,"endHours":14.187039546328283,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.187039546328283,"endHours":15.187039546328283,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.187039546328283,"endHours":16.187039546328283,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.187039546328283,"endHours":17.187039546328283,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.187039546328283,"endHours":18.187039546328283,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.187039546328283,"endHours":19.187039546328283,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.187039546328283,"endHours":20.187039546328283,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.187039546328283,"endHours":21.187039546328283,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.187039546328283,"endHours":22.187039546328283,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.187039546328283,"endHours":23.187039546328283,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.187039546328283,"endHours":24.187039546328283,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.187039546328283,"endHours":25.187039546328283,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.187039546328283,"endHours":26.187039546328283,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.187039546328283,"endHours":27.187039546328283,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.187039546328283,"endHours":28.187039546328283,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.187039546328283,"endHours":29.187039546328283,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.187039546328283,"endHours":30.187039546328283,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.187039546328283,"endHours":31.187039546328283,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.30111409127231,"eotMinutes":-8.99752499934842,"ayanamsa":24.0351}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 14, 2013 CE · Vṛndāvana · Vidhyamitra","description":"January 14, 2013 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2013-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2013-01-14","sa":"https://sa.vidhyamitra.com/city/vrindavan/2013-01-14","hi":"https://hi.vidhyamitra.com/city/vrindavan/2013-01-14","x-default":"https://vidhyamitra.com/city/vrindavan/2013-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T15:35:53.184Z","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":"2026-05-15T15:35:53.184Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T15:35:53.184Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}