{"id":"vidhyamitra:city-day:mathura:1978-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1978-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1978-12-18","date_display":"December 18, 1978 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":1978,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443860.770833,"kali_year":5080,"ahargana":1855395.2708,"sun":{"sidereal_longitude":241.8863,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":103.9855,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0992,"elapsed_within_tithi_degrees":6.0992},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.9855,"elapsed_within_degrees":10.6522},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8718},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1978,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2443860.770833,"ahargana":1855395.2708,"kali_year":5080,"ayanamsa_lahiri":23.5591,"grahas":{"sun":{"sidereal_longitude":242.19590399999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":101.11330399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-3.3554},"mars":{"sidereal_longitude":250.74970400000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":222.41410399999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":104.379504,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"venus":{"sidereal_longitude":200.64920400000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":140.21270400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":152.2298,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.2298,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1978,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443860.770833,"kali_year":5080,"ahargana":1855395.2708,"sun":{"sidereal_longitude":241.8863,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":103.9855,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.0992,"elapsed_within_tithi_degrees":6.0992},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.9855,"elapsed_within_degrees":10.6522},"yoga":{"number":26,"name":"Indra","sum_longitude":345.8718},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.355,"elongation":137.901},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.355,"opposition_distance":42.099}},"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":"07:04","sunsetLocal":"17:29","solarNoonLocal":"12:17","dayLengthHours":10.407101301510913,"dayLengthDisplay":"10 Hours 24 Mins 26 Secs","nightLengthDisplay":"13 Hours 35 Mins 34 Secs","moonriseLocal":"20:08","moonsetLocal":"09:37","rahuKala":{"name":"Rāhu Kāla","start":"08:22","end":"09:40","startHours":8.37262822279772,"endHours":9.673515885486584,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:58","end":"12:17","startHours":10.974403548175449,"endHours":12.275291210864314,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"14:53","startHours":13.576178873553177,"endHours":14.87706653624204,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.500064197128069,"endHours":9.846967573845099,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.505369781005144,"endHours":7.782892482378768,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:37","startHours":11.928387834147284,"endHours":12.622194587581344,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:23","startHours":5.684127053240735,"endHours":6.377933806674795,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.20448211831628,"endHours":7.071740560108856,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:42","startHours":14.009808094449465,"endHours":14.703614847883525,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.27884186161977,"endHours":17.67884186161977,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.47884186161977,"endHours":17.91247108251606,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.22884186161977,"endHours":18.97884186161977,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:37","startHours":23.928387834147284,"endHours":24.622194587581344,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:04","end":"08:22","startHours":7.071740560108856,"endHours":8.37262822279772,"quality":"auspicious"},{"name":"Kāla","start":"08:22","end":"09:40","startHours":8.37262822279772,"endHours":9.673515885486584,"quality":"inauspicious"},{"name":"Śubha","start":"09:40","end":"10:58","startHours":9.673515885486584,"endHours":10.974403548175449,"quality":"auspicious"},{"name":"Roga","start":"10:58","end":"12:17","startHours":10.974403548175449,"endHours":12.275291210864314,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:35","startHours":12.275291210864314,"endHours":13.576178873553177,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"14:53","startHours":13.576178873553177,"endHours":14.87706653624204,"quality":"neutral"},{"name":"Labha","start":"14:53","end":"16:11","startHours":14.87706653624204,"endHours":16.177954198930905,"quality":"auspicious"},{"name":"Amṛta","start":"16:11","end":"17:29","startHours":16.177954198930905,"endHours":17.47884186161977,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:29","end":"19:11","startHours":17.47884186161977,"endHours":19.177954198930905,"quality":"neutral"},{"name":"Labha","start":"19:11","end":"20:53","startHours":19.177954198930905,"endHours":20.87706653624204,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:35","startHours":20.87706653624204,"endHours":22.57617887355318,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:17","startHours":22.57617887355318,"endHours":24.275291210864314,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:58","startHours":24.275291210864314,"endHours":25.97440354817545,"quality":"auspicious"},{"name":"Roga","start":"01:58","end":"03:40","startHours":25.97440354817545,"endHours":27.673515885486587,"quality":"inauspicious"},{"name":"Udveg","start":"03:40","end":"05:22","startHours":27.673515885486587,"endHours":29.372628222797722,"quality":"inauspicious"},{"name":"Chala","start":"05:22","end":"07:04","startHours":29.372628222797722,"endHours":31.071740560108857,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.071740560108856,"endHours":8.071740560108857,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.071740560108857,"endHours":9.071740560108857,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.071740560108857,"endHours":10.071740560108857,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.071740560108857,"endHours":11.071740560108857,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.071740560108857,"endHours":12.071740560108857,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.071740560108857,"endHours":13.071740560108857,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.071740560108857,"endHours":14.071740560108857,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.071740560108857,"endHours":15.071740560108857,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.071740560108857,"endHours":16.071740560108857,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.071740560108857,"endHours":17.071740560108857,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.071740560108857,"endHours":18.071740560108857,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.071740560108857,"endHours":19.071740560108857,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.071740560108857,"endHours":20.071740560108857,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.071740560108857,"endHours":21.071740560108857,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.071740560108857,"endHours":22.071740560108857,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.071740560108857,"endHours":23.071740560108857,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.071740560108857,"endHours":24.071740560108857,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.071740560108857,"endHours":25.071740560108857,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.071740560108857,"endHours":26.071740560108857,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.071740560108857,"endHours":27.071740560108857,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.071740560108857,"endHours":28.071740560108857,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.071740560108857,"endHours":29.071740560108857,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.071740560108857,"endHours":30.071740560108857,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.071740560108857,"endHours":31.071740560108857,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.368379824626807,"eotMinutes":2.787727348141232,"ayanamsa":23.5591}},"calendars":{"vikram_samvat":2035,"vikram_samvatsara":"Prajāpati","saka_samvat":1900,"saka_samvatsara":"Kālayukta","bengali_samvat":1385,"malayalam_era":1154,"nanakshahi_year":509,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2035 Prajāpati · Śaka 1900 Kālayukta"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 18, 1978 CE · Mathurā · Vidhyamitra","description":"December 18, 1978 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 07:04, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1978-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1978-12-18","sa":"https://sa.vidhyamitra.com/city/mathura/1978-12-18","hi":"https://hi.vidhyamitra.com/city/mathura/1978-12-18","x-default":"https://vidhyamitra.com/city/mathura/1978-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:45:46.845Z","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":"2026-05-14T12:45:46.845Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:45:46.845Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}