{"id":"vidhyamitra:city-day:mathura:2029-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2029-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-12-19","date_display":"December 19, 2029 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2029,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462489.770833,"kali_year":5131,"ahargana":1874024.2708,"sun":{"sidereal_longitude":242.7112,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.5686,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.8575,"elapsed_within_tithi_degrees":1.8575},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.5686,"elapsed_within_degrees":0.5686},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.2798},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2029,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462489.770833,"ahargana":1874024.2708,"kali_year":5131,"ayanamsa_lahiri":24.2716,"grahas":{"sun":{"sidereal_longitude":243.13423999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":41.97413999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":1.8722},"mars":{"sidereal_longitude":279.85194,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":262.28854,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":203.97983999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":269.23434,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":24.605939999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":245.1757,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":65.1757,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2029,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462489.770833,"kali_year":5131,"ahargana":1874024.2708,"sun":{"sidereal_longitude":242.7112,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":40.5686,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.8575,"elapsed_within_tithi_degrees":1.8575},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.5686,"elapsed_within_degrees":0.5686},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.2798},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.872,"elongation":157.857},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.872,"opposition_distance":22.143}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.064,"opposition_distance":1.118},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":1.192,"elongation":0.543}]},"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":"07:05","sunsetLocal":"17:29","solarNoonLocal":"12:17","dayLengthHours":10.40355371224804,"dayLengthDisplay":"10 Hours 24 Mins 13 Secs","nightLengthDisplay":"13 Hours 35 Mins 47 Secs","moonriseLocal":"16:03","moonsetLocal":"05:42","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:35","startHours":12.28307949393119,"endHours":13.583523707962193,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:23","end":"09:41","startHours":8.381746851838173,"endHours":9.68219106586918,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:17","startHours":10.982635279900183,"endHours":12.28307949393119,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.508798503998378,"endHours":9.85558362773998,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.5147840424841705,"endHours":7.792212141477451,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:38","startHours":11.93629437018959,"endHours":12.62986461767279,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.694162142840764,"endHours":6.387732390323966,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.2143398284531655,"endHours":7.081302637807169,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.017005112639197,"endHours":14.7105753601224,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.28485635005521,"endHours":17.68485635005521,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.48485635005521,"endHours":17.918337754732214,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.23485635005521,"endHours":18.98485635005521,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:38","startHours":23.93629437018959,"endHours":24.62986461767279,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:05","end":"08:23","startHours":7.081302637807169,"endHours":8.381746851838173,"quality":"auspicious"},{"name":"Amṛta","start":"08:23","end":"09:41","startHours":8.381746851838173,"endHours":9.68219106586918,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"10:59","startHours":9.68219106586918,"endHours":10.982635279900183,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:17","startHours":10.982635279900183,"endHours":12.28307949393119,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:35","startHours":12.28307949393119,"endHours":13.583523707962193,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"14:53","startHours":13.583523707962193,"endHours":14.8839679219932,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:11","startHours":14.8839679219932,"endHours":16.184412136024203,"quality":"neutral"},{"name":"Labha","start":"16:11","end":"17:29","startHours":16.184412136024203,"endHours":17.48485635005521,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:11","startHours":17.48485635005521,"endHours":19.184412136024207,"quality":"inauspicious"},{"name":"Chala","start":"19:11","end":"20:53","startHours":19.184412136024207,"endHours":20.8839679219932,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:35","startHours":20.8839679219932,"endHours":22.583523707962193,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"00:17","startHours":22.583523707962193,"endHours":24.28307949393119,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:59","startHours":24.28307949393119,"endHours":25.982635279900187,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:41","startHours":25.982635279900187,"endHours":27.68219106586918,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:23","startHours":27.68219106586918,"endHours":29.381746851838173,"quality":"inauspicious"},{"name":"Udveg","start":"05:23","end":"07:05","startHours":29.381746851838173,"endHours":31.08130263780717,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.081302637807169,"endHours":8.08130263780717,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.08130263780717,"endHours":9.08130263780717,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.08130263780717,"endHours":10.08130263780717,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.08130263780717,"endHours":11.08130263780717,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.08130263780717,"endHours":12.08130263780717,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.08130263780717,"endHours":13.08130263780717,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.08130263780717,"endHours":14.08130263780717,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.08130263780717,"endHours":15.08130263780717,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.08130263780717,"endHours":16.08130263780717,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.08130263780717,"endHours":17.08130263780717,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.08130263780717,"endHours":18.08130263780717,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.08130263780717,"endHours":19.08130263780717,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.08130263780717,"endHours":20.08130263780717,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.08130263780717,"endHours":21.08130263780717,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.08130263780717,"endHours":22.08130263780717,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.08130263780717,"endHours":23.08130263780717,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.08130263780717,"endHours":24.08130263780717,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.08130263780717,"endHours":25.08130263780717,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.08130263780717,"endHours":26.08130263780717,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.08130263780717,"endHours":27.08130263780717,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.08130263780717,"endHours":28.08130263780717,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.08130263780717,"endHours":29.08130263780717,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.08130263780717,"endHours":30.08130263780717,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.08130263780717,"endHours":31.08130263780717,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.411048746151145,"eotMinutes":2.3204303641286352,"ayanamsa":24.2716}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"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 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[],"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":"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 19, 2029 CE · Mathurā · Vidhyamitra","description":"December 19, 2029 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:05, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2029-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2029-12-19","sa":"https://sa.vidhyamitra.com/city/mathura/2029-12-19","hi":"https://hi.vidhyamitra.com/city/mathura/2029-12-19","x-default":"https://vidhyamitra.com/city/mathura/2029-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-26T17:49:14.939Z","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":"2026-08-26T17:49:14.939Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-26T17:49:14.939Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}