{"id":"vidhyamitra:city-day:vrindavan:2106-12-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2106-12-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2106-12-29","date_display":"December 29, 2106 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":2106,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490622.770833,"kali_year":5208,"ahargana":1902157.2708,"sun":{"sidereal_longitude":251.0082,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":294.5201,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5119,"elapsed_within_tithi_degrees":7.5119},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.5201,"elapsed_within_degrees":1.1867},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.5282},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2106,"month":12,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490622.770833,"ahargana":1902157.2708,"kali_year":5208,"ayanamsa_lahiri":25.3476,"grahas":{"sun":{"sidereal_longitude":251.540752,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":291.409352,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":4.432},"mars":{"sidereal_longitude":269.664852,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":260.32945199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":9.04655200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":204.075152,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":252.07405199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":194.554,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.554,"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":2106,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490622.770833,"kali_year":5208,"ahargana":1902157.2708,"sun":{"sidereal_longitude":251.0082,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":294.5201,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5119,"elapsed_within_tithi_degrees":7.5119},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.5201,"elapsed_within_degrees":1.1867},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.5282},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.432,"elongation":43.512},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.432,"opposition_distance":136.488}},"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":"07:09","sunsetLocal":"17:34","solarNoonLocal":"12:22","dayLengthHours":10.411006973533029,"dayLengthDisplay":"10 Hours 24 Mins 40 Secs","nightLengthDisplay":"13 Hours 35 Mins 20 Secs","moonriseLocal":"09:32","moonsetLocal":"20:30","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"13:40","startHours":12.361826274076162,"endHours":13.663202145767789,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:27","end":"09:46","startHours":8.457698659001275,"endHours":9.759074530692903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:04","end":"12:22","startHours":11.060450402384532,"endHours":12.361826274076162,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.585557747800687,"endHours":9.932591313585121,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.590114744540189,"endHours":7.867741597167737,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.014792708291726,"endHours":12.708859839860594,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.768188524171909,"endHours":6.462255655740778,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.28873887284856,"endHours":7.156322787309646,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.096994102998332,"endHours":14.7910612345672,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.367329760842676,"endHours":17.767329760842674,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.567329760842675,"endHours":18.001121718073218,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.317329760842675,"endHours":19.067329760842675,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.014792708291722,"endHours":24.708859839860594,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:09","end":"08:27","startHours":7.156322787309646,"endHours":8.457698659001275,"quality":"auspicious"},{"name":"Amṛta","start":"08:27","end":"09:46","startHours":8.457698659001275,"endHours":9.759074530692903,"quality":"auspicious"},{"name":"Kāla","start":"09:46","end":"11:04","startHours":9.759074530692903,"endHours":11.060450402384532,"quality":"inauspicious"},{"name":"Śubha","start":"11:04","end":"12:22","startHours":11.060450402384532,"endHours":12.361826274076162,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"13:40","startHours":12.361826274076162,"endHours":13.663202145767789,"quality":"inauspicious"},{"name":"Udveg","start":"13:40","end":"14:58","startHours":13.663202145767789,"endHours":14.964578017459418,"quality":"inauspicious"},{"name":"Chala","start":"14:58","end":"16:16","startHours":14.964578017459418,"endHours":16.265953889151046,"quality":"neutral"},{"name":"Labha","start":"16:16","end":"17:34","startHours":16.265953889151046,"endHours":17.567329760842675,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:34","end":"19:16","startHours":17.567329760842675,"endHours":19.265953889151046,"quality":"inauspicious"},{"name":"Chala","start":"19:16","end":"20:58","startHours":19.265953889151046,"endHours":20.964578017459417,"quality":"neutral"},{"name":"Labha","start":"20:58","end":"22:40","startHours":20.964578017459417,"endHours":22.66320214576779,"quality":"auspicious"},{"name":"Amṛta","start":"22:40","end":"00:22","startHours":22.66320214576779,"endHours":24.36182627407616,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"02:04","startHours":24.36182627407616,"endHours":26.060450402384532,"quality":"inauspicious"},{"name":"Śubha","start":"02:04","end":"03:46","startHours":26.060450402384532,"endHours":27.759074530692903,"quality":"auspicious"},{"name":"Roga","start":"03:46","end":"05:27","startHours":27.759074530692903,"endHours":29.457698659001274,"quality":"inauspicious"},{"name":"Udveg","start":"05:27","end":"07:09","startHours":29.457698659001274,"endHours":31.156322787309648,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.156322787309646,"endHours":8.156322787309646,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.156322787309646,"endHours":9.156322787309646,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.156322787309646,"endHours":10.156322787309646,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.156322787309646,"endHours":11.156322787309646,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.156322787309646,"endHours":12.156322787309646,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.156322787309646,"endHours":13.156322787309646,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.156322787309646,"endHours":14.156322787309646,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.156322787309646,"endHours":15.156322787309646,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.156322787309646,"endHours":16.156322787309648,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.156322787309648,"endHours":17.156322787309648,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.156322787309648,"endHours":18.156322787309648,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.156322787309648,"endHours":19.156322787309648,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.156322787309648,"endHours":20.156322787309648,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.156322787309648,"endHours":21.156322787309648,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.156322787309648,"endHours":22.156322787309648,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.156322787309648,"endHours":23.156322787309648,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.156322787309648,"endHours":24.156322787309648,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.156322787309648,"endHours":25.156322787309648,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.156322787309648,"endHours":26.156322787309648,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.156322787309648,"endHours":27.156322787309648,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.156322787309648,"endHours":28.156322787309648,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.156322787309648,"endHours":29.156322787309648,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.156322787309648,"endHours":30.156322787309648,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.156322787309648,"endHours":31.156322787309648,"planetary_lord":"Sun"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"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":-23.257338120100865,"eotMinutes":-2.3467764445695645,"ayanamsa":25.3476}},"calendars":{"vikram_samvat":2163,"vikram_samvatsara":"Pramāthi","saka_samvat":2028,"saka_samvatsara":"Akṣaya","bengali_samvat":1513,"malayalam_era":1282,"nanakshahi_year":637,"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 Caturthī · Vikram 2163 Pramāthi · Śaka 2028 Akṣaya"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 December 29, 2106 CE · Vṛndāvana · Vidhyamitra","description":"December 29, 2106 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:09, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2106-12-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2106-12-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2106-12-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2106-12-29","x-default":"https://vidhyamitra.com/city/vrindavan/2106-12-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:00:29.981Z","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":"2026-06-01T19:00:29.981Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:00:29.981Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}