{"id":"vidhyamitra:city-day:mathura:1998-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1998-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1998-12-18","date_display":"December 18, 1998 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":1998,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451165.770833,"kali_year":5100,"ahargana":1862700.2708,"sun":{"sidereal_longitude":241.7065,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":231.0012,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.2947,"elapsed_within_tithi_degrees":1.2947},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":231.0012,"elapsed_within_degrees":4.3345},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.7077},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1998,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451165.770833,"ahargana":1862700.2708,"kali_year":5100,"ayanamsa_lahiri":23.8385,"grahas":{"sun":{"sidereal_longitude":242.06500000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":232.00199999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":4.3291},"mars":{"sidereal_longitude":167.40329999999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":220.586,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":326.28819999999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":254.0711,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":2.988999999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":125.1757,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.1757,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1998,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451165.770833,"kali_year":5100,"ahargana":1862700.2708,"sun":{"sidereal_longitude":241.7065,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":231.0012,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.2947,"elapsed_within_tithi_degrees":1.2947},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":231.0012,"elapsed_within_degrees":4.3345},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.7077},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.329,"elongation":10.705},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.329,"opposition_distance":169.295}},"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":10.406712369969334,"dayLengthDisplay":"10 Hours 24 Mins 24 Secs","nightLengthDisplay":"13 Hours 35 Mins 36 Secs","moonriseLocal":"06:24","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"10:58","end":"12:17","startHours":10.974452164618148,"endHours":12.275291210864314,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:53","end":"16:11","startHours":14.876969303356649,"endHours":16.177808349602813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:40","startHours":8.372774072125814,"endHours":9.673613118371982,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.500167912205825,"endHours":9.847058324538137,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.505548041295037,"endHours":7.783060371160886,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:37","startHours":11.928400798532003,"endHours":12.622181623196624,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:23","startHours":5.684373376550403,"endHours":6.378154201215025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.20470899504887,"endHours":7.071935025879648,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:42","startHours":14.00974327252587,"endHours":14.703524097190494,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.27864739584898,"endHours":17.67864739584898,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.47864739584898,"endHours":17.91226041126437,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.22864739584898,"endHours":18.97864739584898,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:37","startHours":23.928400798532003,"endHours":24.622181623196624,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:04","end":"08:22","startHours":7.071935025879648,"endHours":8.372774072125814,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:40","startHours":8.372774072125814,"endHours":9.673613118371982,"quality":"auspicious"},{"name":"Amṛta","start":"09:40","end":"10:58","startHours":9.673613118371982,"endHours":10.974452164618148,"quality":"auspicious"},{"name":"Kāla","start":"10:58","end":"12:17","startHours":10.974452164618148,"endHours":12.275291210864314,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"13:35","startHours":12.275291210864314,"endHours":13.576130257110481,"quality":"auspicious"},{"name":"Roga","start":"13:35","end":"14:53","startHours":13.576130257110481,"endHours":14.876969303356649,"quality":"inauspicious"},{"name":"Udveg","start":"14:53","end":"16:11","startHours":14.876969303356649,"endHours":16.177808349602813,"quality":"inauspicious"},{"name":"Chala","start":"16:11","end":"17:29","startHours":16.177808349602813,"endHours":17.47864739584898,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:29","end":"19:11","startHours":17.47864739584898,"endHours":19.177808349602813,"quality":"inauspicious"},{"name":"Udveg","start":"19:11","end":"20:53","startHours":19.177808349602813,"endHours":20.876969303356645,"quality":"inauspicious"},{"name":"Chala","start":"20:53","end":"22:35","startHours":20.876969303356645,"endHours":22.57613025711048,"quality":"neutral"},{"name":"Labha","start":"22:35","end":"00:17","startHours":22.57613025711048,"endHours":24.275291210864314,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:58","startHours":24.275291210864314,"endHours":25.974452164618146,"quality":"auspicious"},{"name":"Kāla","start":"01:58","end":"03:40","startHours":25.974452164618146,"endHours":27.673613118371982,"quality":"inauspicious"},{"name":"Śubha","start":"03:40","end":"05:22","startHours":27.673613118371982,"endHours":29.372774072125814,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:04","startHours":29.372774072125814,"endHours":31.071935025879647,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.071935025879648,"endHours":8.071935025879647,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.071935025879647,"endHours":9.071935025879647,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.071935025879647,"endHours":10.071935025879647,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.071935025879647,"endHours":11.071935025879647,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.071935025879647,"endHours":12.071935025879647,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.071935025879647,"endHours":13.071935025879647,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.071935025879647,"endHours":14.071935025879647,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.071935025879647,"endHours":15.071935025879647,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.071935025879647,"endHours":16.071935025879647,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.071935025879647,"endHours":17.071935025879647,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.071935025879647,"endHours":18.071935025879647,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.071935025879647,"endHours":19.071935025879647,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.071935025879647,"endHours":20.071935025879647,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.071935025879647,"endHours":21.071935025879647,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.071935025879647,"endHours":22.071935025879647,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.071935025879647,"endHours":23.071935025879647,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.071935025879647,"endHours":24.071935025879647,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.071935025879647,"endHours":25.071935025879647,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.071935025879647,"endHours":26.071935025879647,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.071935025879647,"endHours":27.071935025879647,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.071935025879647,"endHours":28.071935025879647,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.071935025879647,"endHours":29.071935025879647,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.071935025879647,"endHours":30.071935025879647,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.071935025879647,"endHours":31.071935025879647,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-23.3730592316159,"eotMinutes":2.787727348141232,"ayanamsa":23.8385}},"calendars":{"vikram_samvat":2055,"vikram_samvatsara":"Khara","saka_samvat":1920,"saka_samvatsara":"Bahudhānya","bengali_samvat":1405,"malayalam_era":1174,"nanakshahi_year":529,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Amāvasyā · Vikram 2055 Khara · Śaka 1920 Bahudhānya"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā + Jyeṣṭhā","url":"/day/-3137-10-20","relevance":1}]},"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, 1998 CE · Mathurā · Vidhyamitra","description":"December 18, 1998 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 07:04, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1998-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1998-12-18","sa":"https://sa.vidhyamitra.com/city/mathura/1998-12-18","hi":"https://hi.vidhyamitra.com/city/mathura/1998-12-18","x-default":"https://vidhyamitra.com/city/mathura/1998-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:40:54.031Z","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":"2026-05-14T20:40:54.031Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:40:54.031Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}