{"id":"vidhyamitra:city-day:vrindavan:2172-12-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2172-12-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-12-29","date_display":"December 29, 2172 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":2172,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514729.770833,"kali_year":5274,"ahargana":1926264.2708,"sun":{"sidereal_longitude":250.9281,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":58.1153,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.1872,"elapsed_within_tithi_degrees":11.1872},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.1153,"elapsed_within_degrees":4.782},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.0434},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2172,"month":12,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514729.770833,"ahargana":1926264.2708,"kali_year":5274,"ayanamsa_lahiri":26.2696,"grahas":{"sun":{"sidereal_longitude":251.61688800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":58.42098800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":3.9297},"mars":{"sidereal_longitude":292.668588,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":262.394688,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":219.46718799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":239.49748799999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":327.2975879999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":357.2491,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.2491,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514729.770833,"kali_year":5274,"ahargana":1926264.2708,"sun":{"sidereal_longitude":250.9281,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":58.1153,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.1872,"elapsed_within_tithi_degrees":11.1872},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.1153,"elapsed_within_degrees":4.782},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.0434},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.93,"elongation":167.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.93,"opposition_distance":12.813}},"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":10.415627901868572,"dayLengthDisplay":"10 Hours 24 Mins 56 Secs","nightLengthDisplay":"13 Hours 35 Mins 04 Secs","moonriseLocal":"16:34","moonsetLocal":"06:24","rahuKala":{"name":"Rāhu Kāla","start":"14:58","end":"16:16","startHours":14.965733249543302,"endHours":16.267686737276872,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:45","end":"11:04","startHours":9.757919298609016,"endHours":11.059872786342588,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:40","startHours":12.361826274076158,"endHours":13.663779761809732,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.584325500244539,"endHours":9.931513096973493,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.587996819053064,"endHours":7.865746896436226,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.014638677347207,"endHours":12.709013870805112,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.7652619362260635,"endHours":6.459637129683968,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.286043331319492,"endHours":7.154012323141873,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.097764257720922,"endHours":14.792139451178826,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.369640225010446,"endHours":17.769640225010445,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.569640225010446,"endHours":18.003624720921636,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.319640225010446,"endHours":19.069640225010446,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.014638677347207,"endHours":24.70901387080511,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:27","startHours":7.154012323141873,"endHours":8.455965810875444,"quality":"inauspicious"},{"name":"Udveg","start":"08:27","end":"09:45","startHours":8.455965810875444,"endHours":9.757919298609016,"quality":"inauspicious"},{"name":"Chala","start":"09:45","end":"11:04","startHours":9.757919298609016,"endHours":11.059872786342588,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:22","startHours":11.059872786342588,"endHours":12.361826274076158,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:40","startHours":12.361826274076158,"endHours":13.663779761809732,"quality":"auspicious"},{"name":"Kāla","start":"13:40","end":"14:58","startHours":13.663779761809732,"endHours":14.965733249543302,"quality":"inauspicious"},{"name":"Śubha","start":"14:58","end":"16:16","startHours":14.965733249543302,"endHours":16.267686737276872,"quality":"auspicious"},{"name":"Roga","start":"16:16","end":"17:34","startHours":16.267686737276872,"endHours":17.569640225010446,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:34","end":"19:16","startHours":17.569640225010446,"endHours":19.267686737276875,"quality":"inauspicious"},{"name":"Śubha","start":"19:16","end":"20:58","startHours":19.267686737276875,"endHours":20.9657332495433,"quality":"auspicious"},{"name":"Roga","start":"20:58","end":"22:40","startHours":20.9657332495433,"endHours":22.66377976180973,"quality":"inauspicious"},{"name":"Udveg","start":"22:40","end":"00:22","startHours":22.66377976180973,"endHours":24.361826274076158,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"02:04","startHours":24.361826274076158,"endHours":26.059872786342588,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:45","startHours":26.059872786342588,"endHours":27.757919298609018,"quality":"auspicious"},{"name":"Amṛta","start":"03:45","end":"05:27","startHours":27.757919298609018,"endHours":29.455965810875448,"quality":"auspicious"},{"name":"Kāla","start":"05:27","end":"07:09","startHours":29.455965810875448,"endHours":31.154012323141874,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.154012323141873,"endHours":8.154012323141874,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.154012323141874,"endHours":9.154012323141874,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.154012323141874,"endHours":10.154012323141874,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.154012323141874,"endHours":11.154012323141874,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.154012323141874,"endHours":12.154012323141874,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.154012323141874,"endHours":13.154012323141874,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.154012323141874,"endHours":14.154012323141874,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.154012323141874,"endHours":15.154012323141874,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.154012323141874,"endHours":16.154012323141874,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.154012323141874,"endHours":17.154012323141874,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.154012323141874,"endHours":18.154012323141874,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.154012323141874,"endHours":19.154012323141874,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.154012323141874,"endHours":20.154012323141874,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.154012323141874,"endHours":21.154012323141874,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.154012323141874,"endHours":22.154012323141874,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.154012323141874,"endHours":23.154012323141874,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.154012323141874,"endHours":24.154012323141874,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.154012323141874,"endHours":25.154012323141874,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.154012323141874,"endHours":26.154012323141874,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.154012323141874,"endHours":27.154012323141874,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.154012323141874,"endHours":28.154012323141874,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.154012323141874,"endHours":29.154012323141874,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.154012323141874,"endHours":30.154012323141874,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.154012323141874,"endHours":31.154012323141874,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Mānasa","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":-23.20179143743875,"eotMinutes":-2.3467764445695645,"ayanamsa":26.2696}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2172 CE · Vṛndāvana · Vidhyamitra","description":"December 29, 2172 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 07:09, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2172-12-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2172-12-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2172-12-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2172-12-29","x-default":"https://vidhyamitra.com/city/vrindavan/2172-12-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:57:46.348Z","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":"2026-05-31T11:57:46.348Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:57:46.348Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}