{"id":"vidhyamitra:city-day:vrindavan:2013-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2013-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-12-26","date_display":"December 26, 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":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456652.770833,"kali_year":5115,"ahargana":1868187.2708,"sun":{"sidereal_longitude":250.0465,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.0145,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.9681,"elapsed_within_tithi_degrees":2.9681},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.0145,"elapsed_within_degrees":9.0145},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.061},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2013,"month":12,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456652.770833,"ahargana":1868187.2708,"kali_year":5115,"ayanamsa_lahiri":24.0484,"grahas":{"sun":{"sidereal_longitude":250.36805600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":165.84205599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-1.931},"mars":{"sidereal_longitude":164.671156,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":248.33305599999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":82.21625599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":274.3841560000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":205.48695599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":194.448,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.448,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"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":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456652.770833,"kali_year":5115,"ahargana":1868187.2708,"sun":{"sidereal_longitude":250.0465,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.0145,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.9681,"elapsed_within_tithi_degrees":2.9681},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.0145,"elapsed_within_degrees":9.0145},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.061},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.931,"elongation":81.032},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.931,"opposition_distance":98.968}},"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":"07:08","sunsetLocal":"17:32","solarNoonLocal":"12:20","dayLengthHours":10.40222421096319,"dayLengthDisplay":"10 Hours 24 Mins 08 Secs","nightLengthDisplay":"13 Hours 35 Mins 52 Secs","moonriseLocal":"00:48","moonsetLocal":"12:37","rahuKala":{"name":"Rāhu Kāla","start":"13:38","end":"14:56","startHours":13.638991565210803,"endHours":14.939269591581201,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:26","startHours":7.137601433358809,"endHours":8.437879459729208,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:44","end":"11:02","startHours":9.738157486099606,"endHours":11.038435512470006,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:55","startHours":9.564787082583553,"endHours":9.91152788961566,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.571027442148942,"endHours":7.8484200877746275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.9919727318083,"endHours":12.685454345872511,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.750638205230384,"endHours":6.444119819294596,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:08","startHours":6.2707494157785435,"endHours":7.137601433358809,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:46","startHours":14.072417574000937,"endHours":14.76589918806515,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.339825644322,"endHours":17.739825644322,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.539825644322,"endHours":17.973251653112133,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.289825644322,"endHours":19.039825644322,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.9919727318083,"endHours":24.68545434587251,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:08","end":"08:26","startHours":7.137601433358809,"endHours":8.437879459729208,"quality":"auspicious"},{"name":"Roga","start":"08:26","end":"09:44","startHours":8.437879459729208,"endHours":9.738157486099606,"quality":"inauspicious"},{"name":"Udveg","start":"09:44","end":"11:02","startHours":9.738157486099606,"endHours":11.038435512470006,"quality":"inauspicious"},{"name":"Chala","start":"11:02","end":"12:20","startHours":11.038435512470006,"endHours":12.338713538840405,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:38","startHours":12.338713538840405,"endHours":13.638991565210803,"quality":"auspicious"},{"name":"Amṛta","start":"13:38","end":"14:56","startHours":13.638991565210803,"endHours":14.939269591581201,"quality":"auspicious"},{"name":"Kāla","start":"14:56","end":"16:14","startHours":14.939269591581201,"endHours":16.2395476179516,"quality":"inauspicious"},{"name":"Śubha","start":"16:14","end":"17:32","startHours":16.2395476179516,"endHours":17.539825644322,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:32","end":"19:14","startHours":17.539825644322,"endHours":19.2395476179516,"quality":"auspicious"},{"name":"Kāla","start":"19:14","end":"20:56","startHours":19.2395476179516,"endHours":20.9392695915812,"quality":"inauspicious"},{"name":"Śubha","start":"20:56","end":"22:38","startHours":20.9392695915812,"endHours":22.638991565210805,"quality":"auspicious"},{"name":"Roga","start":"22:38","end":"00:20","startHours":22.638991565210805,"endHours":24.338713538840405,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"02:02","startHours":24.338713538840405,"endHours":26.038435512470006,"quality":"inauspicious"},{"name":"Chala","start":"02:02","end":"03:44","startHours":26.038435512470006,"endHours":27.73815748609961,"quality":"neutral"},{"name":"Labha","start":"03:44","end":"05:26","startHours":27.73815748609961,"endHours":29.43787945972921,"quality":"auspicious"},{"name":"Amṛta","start":"05:26","end":"07:08","startHours":29.43787945972921,"endHours":31.13760143335881,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.137601433358809,"endHours":8.13760143335881,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.13760143335881,"endHours":9.13760143335881,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.13760143335881,"endHours":10.13760143335881,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.13760143335881,"endHours":11.13760143335881,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.13760143335881,"endHours":12.13760143335881,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.13760143335881,"endHours":13.13760143335881,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.13760143335881,"endHours":14.13760143335881,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.13760143335881,"endHours":15.13760143335881,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.13760143335881,"endHours":16.13760143335881,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.13760143335881,"endHours":17.13760143335881,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.13760143335881,"endHours":18.13760143335881,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.13760143335881,"endHours":19.13760143335881,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.13760143335881,"endHours":20.13760143335881,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.13760143335881,"endHours":21.13760143335881,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.13760143335881,"endHours":22.13760143335881,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.13760143335881,"endHours":23.13760143335881,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.13760143335881,"endHours":24.13760143335881,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.13760143335881,"endHours":25.13760143335881,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.13760143335881,"endHours":26.13760143335881,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.13760143335881,"endHours":27.13760143335881,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.13760143335881,"endHours":28.13760143335881,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.13760143335881,"endHours":29.13760143335881,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.13760143335881,"endHours":30.13760143335881,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.13760143335881,"endHours":31.13760143335881,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","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":-23.362770136042904,"eotMinutes":-0.9600123304242594,"ayanamsa":24.0484}},"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 Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · 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":"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 December 26, 2013 CE · Vṛndāvana · Vidhyamitra","description":"December 26, 2013 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 07:08, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2013-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2013-12-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/2013-12-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/2013-12-26","x-default":"https://vidhyamitra.com/city/vrindavan/2013-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:02:43.375Z","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":"2026-05-15T17:02:43.375Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:02:43.375Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}