{"id":"vidhyamitra:city-day:mathura:2011-12-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2011-12-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-12-29","date_display":"December 29, 2011 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":2011,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455924.770833,"kali_year":5113,"ahargana":1867459.2708,"sun":{"sidereal_longitude":252.6343,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.7096,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.0754,"elapsed_within_tithi_degrees":6.0754},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.7096,"elapsed_within_degrees":0.043},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.3439},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2011,"month":12,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455924.770833,"ahargana":1867459.2708,"kali_year":5113,"ayanamsa_lahiri":24.0205,"grahas":{"sun":{"sidereal_longitude":252.92907100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":306.68897100000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":4.3185},"mars":{"sidereal_longitude":145.144471,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":231.67627100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":6.205970999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":286.009671,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":183.81087100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":233.021,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":53.021,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2011,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455924.770833,"kali_year":5113,"ahargana":1867459.2708,"sun":{"sidereal_longitude":252.6343,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.7096,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.0754,"elapsed_within_tithi_degrees":6.0754},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.7096,"elapsed_within_degrees":0.043},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.3439},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.319,"elongation":54.075},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.319,"opposition_distance":125.925}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:34","solarNoonLocal":"12:22","dayLengthHours":10.416586447062443,"dayLengthDisplay":"10 Hours 25 Mins 00 Secs","nightLengthDisplay":"13 Hours 35 Mins 00 Secs","moonriseLocal":"10:18","moonsetLocal":"21:36","rahuKala":{"name":"Rāhu Kāla","start":"13:40","end":"14:58","startHours":13.662939579958962,"endHours":14.96501288584177,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:27","startHours":7.1525730505449365,"endHours":8.454646356427741,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:45","end":"11:04","startHours":9.756719662310548,"endHours":11.058792968193352,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.58310988819284,"endHours":9.930329436428254,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.586597485839205,"endHours":7.864373124427536,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.013646725840744,"endHours":12.708085822311574,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.763694857603277,"endHours":6.458133954074107,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.284524179956399,"endHours":7.1525730505449365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.096964015253231,"endHours":14.79140311172406,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36915949760738,"endHours":17.76915949760738,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.56915949760738,"endHours":18.00318393290165,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31915949760738,"endHours":19.06915949760738,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.013646725840744,"endHours":24.708085822311574,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:27","startHours":7.1525730505449365,"endHours":8.454646356427741,"quality":"auspicious"},{"name":"Roga","start":"08:27","end":"09:45","startHours":8.454646356427741,"endHours":9.756719662310548,"quality":"inauspicious"},{"name":"Udveg","start":"09:45","end":"11:04","startHours":9.756719662310548,"endHours":11.058792968193352,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:22","startHours":11.058792968193352,"endHours":12.360866274076159,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:40","startHours":12.360866274076159,"endHours":13.662939579958962,"quality":"auspicious"},{"name":"Amṛta","start":"13:40","end":"14:58","startHours":13.662939579958962,"endHours":14.96501288584177,"quality":"auspicious"},{"name":"Kāla","start":"14:58","end":"16:16","startHours":14.96501288584177,"endHours":16.267086191724573,"quality":"inauspicious"},{"name":"Śubha","start":"16:16","end":"17:34","startHours":16.267086191724573,"endHours":17.56915949760738,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:34","end":"19:16","startHours":17.56915949760738,"endHours":19.267086191724573,"quality":"auspicious"},{"name":"Kāla","start":"19:16","end":"20:58","startHours":19.267086191724573,"endHours":20.96501288584177,"quality":"inauspicious"},{"name":"Śubha","start":"20:58","end":"22:40","startHours":20.96501288584177,"endHours":22.662939579958966,"quality":"auspicious"},{"name":"Roga","start":"22:40","end":"00:22","startHours":22.662939579958966,"endHours":24.36086627407616,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"02:04","startHours":24.36086627407616,"endHours":26.05879296819335,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:45","startHours":26.05879296819335,"endHours":27.756719662310548,"quality":"neutral"},{"name":"Labha","start":"03:45","end":"05:27","startHours":27.756719662310548,"endHours":29.454646356427745,"quality":"auspicious"},{"name":"Amṛta","start":"05:27","end":"07:09","startHours":29.454646356427745,"endHours":31.152573050544937,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1525730505449365,"endHours":8.152573050544937,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.152573050544937,"endHours":9.152573050544937,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.152573050544937,"endHours":10.152573050544937,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.152573050544937,"endHours":11.152573050544937,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.152573050544937,"endHours":12.152573050544937,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.152573050544937,"endHours":13.152573050544937,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.152573050544937,"endHours":14.152573050544937,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.152573050544937,"endHours":15.152573050544937,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.152573050544937,"endHours":16.152573050544937,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.152573050544937,"endHours":17.152573050544937,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.152573050544937,"endHours":18.152573050544937,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.152573050544937,"endHours":19.152573050544937,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.152573050544937,"endHours":20.152573050544937,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.152573050544937,"endHours":21.152573050544937,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.152573050544937,"endHours":22.152573050544937,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.152573050544937,"endHours":23.152573050544937,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.152573050544937,"endHours":24.152573050544937,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.152573050544937,"endHours":25.152573050544937,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.152573050544937,"endHours":26.152573050544937,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.152573050544937,"endHours":27.152573050544937,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.152573050544937,"endHours":28.152573050544937,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.152573050544937,"endHours":29.152573050544937,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.152573050544937,"endHours":30.152573050544937,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.152573050544937,"endHours":31.152573050544937,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","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":-23.254145543265988,"eotMinutes":-2.3467764445695645,"ayanamsa":24.0205}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"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":"mathura"},"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, 2011 CE · Mathurā · Vidhyamitra","description":"December 29, 2011 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:09, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2011-12-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2011-12-29","sa":"https://sa.vidhyamitra.com/city/mathura/2011-12-29","hi":"https://hi.vidhyamitra.com/city/mathura/2011-12-29","x-default":"https://vidhyamitra.com/city/mathura/2011-12-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:30:57.801Z","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":"2026-05-14T16:30:57.801Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:30:57.801Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}