{"id":"vidhyamitra:city-day:agra:2040-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2040-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-19","date_display":"December 19, 2040 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":2040,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466507.770833,"kali_year":5142,"ahargana":1878042.2708,"sun":{"sidereal_longitude":242.869,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.8343,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9654,"elapsed_within_tithi_degrees":7.9654},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.8343,"elapsed_within_degrees":4.1677},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.7033},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2040,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466507.770833,"ahargana":1878042.2708,"kali_year":5142,"ayanamsa_lahiri":24.4253,"grahas":{"sun":{"sidereal_longitude":243.316822,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":69.20192199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":2.8027},"mars":{"sidereal_longitude":242.3590220000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":245.33612199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":182.08842200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":289.07972199999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":177.54042200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":32.2827,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.2827,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2040,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466507.770833,"kali_year":5142,"ahargana":1878042.2708,"sun":{"sidereal_longitude":242.869,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.8343,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9654,"elapsed_within_tithi_degrees":7.9654},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.8343,"elapsed_within_degrees":4.1677},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.7033},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.803,"elongation":172.035},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.803,"opposition_distance":7.965}},"eclipse_window_40days":[]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:03","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.426252018346048,"dayLengthDisplay":"10 Hours 25 Mins 35 Secs","nightLengthDisplay":"13 Hours 34 Mins 25 Secs","moonriseLocal":"17:45","moonsetLocal":"07:33","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:34","startHours":12.260786160597856,"endHours":13.564067662891112,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:21","end":"09:39","startHours":8.350941653718088,"endHours":9.654223156011344,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:57","end":"12:16","startHours":10.9575046583046,"endHours":12.260786160597856,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.48045228903891,"endHours":9.827994022983777,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.482087318855917,"endHours":7.760120706011811,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.913244426652987,"endHours":12.608327894542725,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.657493215645358,"endHours":6.352576683535095,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.178805816562661,"endHours":7.047660151424831,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":13.998494830322198,"endHours":14.693578298211934,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.27391216977088,"endHours":17.67391216977088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:55","startHours":17.47391216977088,"endHours":17.908339337201966,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.22391216977088,"endHours":18.97391216977088,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.913244426652987,"endHours":24.608327894542725,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:03","end":"08:21","startHours":7.047660151424831,"endHours":8.350941653718088,"quality":"auspicious"},{"name":"Amṛta","start":"08:21","end":"09:39","startHours":8.350941653718088,"endHours":9.654223156011344,"quality":"auspicious"},{"name":"Kāla","start":"09:39","end":"10:57","startHours":9.654223156011344,"endHours":10.9575046583046,"quality":"inauspicious"},{"name":"Śubha","start":"10:57","end":"12:16","startHours":10.9575046583046,"endHours":12.260786160597856,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:34","startHours":12.260786160597856,"endHours":13.564067662891112,"quality":"inauspicious"},{"name":"Udveg","start":"13:34","end":"14:52","startHours":13.564067662891112,"endHours":14.867349165184368,"quality":"inauspicious"},{"name":"Chala","start":"14:52","end":"16:10","startHours":14.867349165184368,"endHours":16.170630667477624,"quality":"neutral"},{"name":"Labha","start":"16:10","end":"17:28","startHours":16.170630667477624,"endHours":17.47391216977088,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:28","end":"19:10","startHours":17.47391216977088,"endHours":19.170630667477624,"quality":"inauspicious"},{"name":"Chala","start":"19:10","end":"20:52","startHours":19.170630667477624,"endHours":20.86734916518437,"quality":"neutral"},{"name":"Labha","start":"20:52","end":"22:34","startHours":20.86734916518437,"endHours":22.564067662891112,"quality":"auspicious"},{"name":"Amṛta","start":"22:34","end":"00:16","startHours":22.564067662891112,"endHours":24.260786160597856,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:57","startHours":24.260786160597856,"endHours":25.9575046583046,"quality":"inauspicious"},{"name":"Śubha","start":"01:57","end":"03:39","startHours":25.9575046583046,"endHours":27.654223156011344,"quality":"auspicious"},{"name":"Roga","start":"03:39","end":"05:21","startHours":27.654223156011344,"endHours":29.35094165371809,"quality":"inauspicious"},{"name":"Udveg","start":"05:21","end":"07:03","startHours":29.35094165371809,"endHours":31.047660151424832,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.047660151424831,"endHours":8.047660151424832,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.047660151424832,"endHours":9.047660151424832,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.047660151424832,"endHours":10.047660151424832,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.047660151424832,"endHours":11.047660151424832,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.047660151424832,"endHours":12.047660151424832,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.047660151424832,"endHours":13.047660151424832,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.047660151424832,"endHours":14.047660151424832,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.047660151424832,"endHours":15.047660151424832,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.047660151424832,"endHours":16.047660151424832,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.047660151424832,"endHours":17.047660151424832,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.047660151424832,"endHours":18.047660151424832,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.047660151424832,"endHours":19.047660151424832,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.047660151424832,"endHours":20.047660151424832,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.047660151424832,"endHours":21.047660151424832,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.047660151424832,"endHours":22.047660151424832,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.047660151424832,"endHours":23.047660151424832,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.047660151424832,"endHours":24.047660151424832,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.047660151424832,"endHours":25.047660151424832,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.047660151424832,"endHours":26.047660151424832,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.047660151424832,"endHours":27.047660151424832,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.047660151424832,"endHours":28.047660151424832,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.047660151424832,"endHours":29.047660151424832,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.047660151424832,"endHours":30.047660151424832,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.047660151424832,"endHours":31.047660151424832,"planetary_lord":"Sun"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","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":-23.41721832638184,"eotMinutes":2.3204303641286352,"ayanamsa":24.4253}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Pratipada · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":"agra"},"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, 2040 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"December 19, 2040 CE for Agra, Uttar Pradesh: Kṛṣṇa Pratipada, sūryodaya 07:03, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2040-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2040-12-19","sa":"https://sa.vidhyamitra.com/city/agra/2040-12-19","hi":"https://hi.vidhyamitra.com/city/agra/2040-12-19","x-default":"https://vidhyamitra.com/city/agra/2040-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:19:23.470Z","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":"2026-08-10T12:19:23.470Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:19:23.470Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}