{"id":"vidhyamitra:city-day:vellore:2026-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vellore/2026-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-13","date_display":"December 13, 2026 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":2026,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461387.770833,"kali_year":5128,"ahargana":1872922.2708,"sun":{"sidereal_longitude":236.3252,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.3795,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0543,"elapsed_within_tithi_degrees":11.0543},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.3795,"elapsed_within_degrees":3.3795},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.7047},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2026,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461387.770833,"ahargana":1872922.2708,"kali_year":5128,"ayanamsa_lahiri":24.2294,"grahas":{"sun":{"sidereal_longitude":236.79564400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":280.20374400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-1.5514},"mars":{"sidereal_longitude":131.322544,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":225.53274399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":122.57304399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":191.623244,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":343.760544,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":303.565,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.565,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2026,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461387.770833,"kali_year":5128,"ahargana":1872922.2708,"sun":{"sidereal_longitude":236.3252,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.3795,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0543,"elapsed_within_tithi_degrees":11.0543},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.3795,"elapsed_within_degrees":3.3795},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.7047},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.551,"elongation":47.054},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.551,"opposition_distance":132.946}},"eclipse_window_40days":[]},"city":{"slug":"vellore","name":"Vellore, Tamil Nadu","lat":12.9165,"lon":79.1325,"tz_offset_hours":5.5,"state":"Tamil Nadu","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"vellore","name":"Vellore, Tamil Nadu","lat":12.9165,"lon":79.1325,"tz_offset_hours":5.5,"state":"Tamil Nadu","country":"IN","tier":"tier-1"},"sunriseLocal":"06:27","sunsetLocal":"17:50","solarNoonLocal":"12:08","dayLengthHours":11.374743781839848,"dayLengthDisplay":"11 Hours 22 Mins 29 Secs","nightLengthDisplay":"12 Hours 37 Mins 31 Secs","moonriseLocal":"09:18","moonsetLocal":"20:46","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:50","startHours":16.405184747366306,"endHours":17.82702772009629,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:08","end":"13:34","startHours":12.139655829176366,"endHours":13.561498801906346,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:24","startHours":14.983341774636328,"endHours":16.405184747366306,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:29","startHours":9.10639082068574,"endHours":9.485548946747066,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:14","startHours":6.9262315958331016,"endHours":7.229558096682164,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:31","startHours":11.760497703115037,"endHours":12.518813955237695,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:42","startHours":4.9356514340111275,"endHours":5.693967686133784,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:27","startHours":5.50438862310312,"endHours":6.452283938256441,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:48","startHours":14.035446459483007,"endHours":14.793762711605662,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.62702772009629,"endHours":18.02702772009629,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:18","startHours":17.82702772009629,"endHours":18.30097537767295,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.57702772009629,"endHours":19.32702772009629,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:31","startHours":23.76049770311504,"endHours":24.518813955237693,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:27","end":"07:52","startHours":6.452283938256441,"endHours":7.874126910986422,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:18","startHours":7.874126910986422,"endHours":9.295969883716403,"quality":"neutral"},{"name":"Labha","start":"09:18","end":"10:43","startHours":9.295969883716403,"endHours":10.717812856446384,"quality":"auspicious"},{"name":"Amṛta","start":"10:43","end":"12:08","startHours":10.717812856446384,"endHours":12.139655829176366,"quality":"auspicious"},{"name":"Kāla","start":"12:08","end":"13:34","startHours":12.139655829176366,"endHours":13.561498801906346,"quality":"inauspicious"},{"name":"Śubha","start":"13:34","end":"14:59","startHours":13.561498801906346,"endHours":14.983341774636328,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:24","startHours":14.983341774636328,"endHours":16.405184747366306,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:50","startHours":16.405184747366306,"endHours":17.82702772009629,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:50","end":"19:24","startHours":17.82702772009629,"endHours":19.40518474736631,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"20:59","startHours":19.40518474736631,"endHours":20.983341774636326,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:34","startHours":20.983341774636326,"endHours":22.561498801906346,"quality":"inauspicious"},{"name":"Chala","start":"22:34","end":"00:08","startHours":22.561498801906346,"endHours":24.139655829176366,"quality":"neutral"},{"name":"Labha","start":"00:08","end":"01:43","startHours":24.139655829176366,"endHours":25.717812856446386,"quality":"auspicious"},{"name":"Amṛta","start":"01:43","end":"03:18","startHours":25.717812856446386,"endHours":27.295969883716403,"quality":"auspicious"},{"name":"Kāla","start":"03:18","end":"04:52","startHours":27.295969883716403,"endHours":28.874126910986423,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:27","startHours":28.874126910986423,"endHours":30.452283938256443,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.452283938256441,"endHours":7.452283938256441,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.452283938256441,"endHours":8.452283938256441,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.452283938256441,"endHours":9.452283938256441,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.452283938256441,"endHours":10.452283938256441,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.452283938256441,"endHours":11.452283938256441,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.452283938256441,"endHours":12.452283938256441,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.452283938256441,"endHours":13.452283938256441,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.452283938256441,"endHours":14.452283938256441,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.452283938256441,"endHours":15.452283938256441,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.452283938256441,"endHours":16.452283938256443,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.452283938256443,"endHours":17.452283938256443,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.452283938256443,"endHours":18.452283938256443,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.452283938256443,"endHours":19.452283938256443,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.452283938256443,"endHours":20.452283938256443,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.452283938256443,"endHours":21.452283938256443,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.452283938256443,"endHours":22.452283938256443,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.452283938256443,"endHours":23.452283938256443,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.452283938256443,"endHours":24.452283938256443,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.452283938256443,"endHours":25.452283938256443,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.452283938256443,"endHours":26.452283938256443,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.452283938256443,"endHours":27.452283938256443,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.452283938256443,"endHours":28.452283938256443,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.452283938256443,"endHours":29.452283938256443,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.452283938256443,"endHours":30.452283938256443,"planetary_lord":"Jupiter"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.132753417888036,"eotMinutes":5.090650249418121,"ayanamsa":24.2294}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vellore"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2026 CE · Vellore, Tamil Nadu · Vidhyamitra","description":"December 13, 2026 CE for Vellore, Tamil Nadu: Śukla Caturthī, sūryodaya 06:27, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vellore/2026-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vellore/2026-12-13","sa":"https://sa.vidhyamitra.com/city/vellore/2026-12-13","hi":"https://hi.vidhyamitra.com/city/vellore/2026-12-13","x-default":"https://vidhyamitra.com/city/vellore/2026-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-17T13:40:00.008Z","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":"2026-09-17T13:40:00.008Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-17T13:40:00.008Z","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"}}}