{"id":"vidhyamitra:city-day:mathura:1998-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1998-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1998-12-13","date_display":"December 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451160.770833,"kali_year":5100,"ahargana":1862695.2708,"sun":{"sidereal_longitude":236.5766,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7774,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.2008,"elapsed_within_tithi_degrees":5.2008},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7774,"elapsed_within_degrees":9.7774},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.354},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":1998,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451160.770833,"ahargana":1862695.2708,"kali_year":5100,"ayanamsa_lahiri":23.8383,"grahas":{"sun":{"sidereal_longitude":236.97819099999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.23779100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":3.1433},"mars":{"sidereal_longitude":164.74489100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":217.63289099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":325.771791,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":247.79249099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":3.116191000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":125.4406,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.4406,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451160.770833,"kali_year":5100,"ahargana":1862695.2708,"sun":{"sidereal_longitude":236.5766,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7774,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.2008,"elapsed_within_tithi_degrees":5.2008},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7774,"elapsed_within_degrees":9.7774},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.354},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.143,"elongation":66.799},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.143,"opposition_distance":113.201}},"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":"07:01","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.427824157140634,"dayLengthDisplay":"10 Hours 25 Mins 40 Secs","nightLengthDisplay":"13 Hours 34 Mins 20 Secs","moonriseLocal":"02:06","moonsetLocal":"13:45","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.147343221437435,"endHours":17.450821241080014,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540387182152276,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.843865201794856,"endHours":16.147343221437435,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.456156053938862,"endHours":9.803750192510215,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.457489757153573,"endHours":7.735565068010657,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.889315023938343,"endHours":12.584503301081051,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.632620529653963,"endHours":6.327808806796671,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.154011737510994,"endHours":7.02299708393938,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974879855366469,"endHours":14.670068132509178,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.250821241080015,"endHours":17.650821241080013,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.450821241080014,"endHours":17.88531391429421,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.200821241080014,"endHours":18.950821241080014,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.88931502393834,"endHours":24.584503301081053,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:01","end":"08:20","startHours":7.02299708393938,"endHours":8.32647510358196,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.32647510358196,"endHours":9.629953123224539,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.629953123224539,"endHours":10.933431142867118,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.933431142867118,"endHours":12.236909162509697,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.236909162509697,"endHours":13.540387182152276,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.540387182152276,"endHours":14.843865201794856,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.843865201794856,"endHours":16.147343221437435,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.147343221437435,"endHours":17.450821241080014,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.450821241080014,"endHours":19.147343221437435,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.147343221437435,"endHours":20.843865201794856,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.843865201794856,"endHours":22.540387182152276,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.540387182152276,"endHours":24.236909162509697,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.236909162509697,"endHours":25.933431142867118,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.933431142867118,"endHours":27.62995312322454,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.62995312322454,"endHours":29.32647510358196,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:01","startHours":29.32647510358196,"endHours":31.02299708393938,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.02299708393938,"endHours":8.02299708393938,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.02299708393938,"endHours":9.02299708393938,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.02299708393938,"endHours":10.02299708393938,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.02299708393938,"endHours":11.02299708393938,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.02299708393938,"endHours":12.02299708393938,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.02299708393938,"endHours":13.02299708393938,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.02299708393938,"endHours":14.02299708393938,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.02299708393938,"endHours":15.02299708393938,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.02299708393938,"endHours":16.02299708393938,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02299708393938,"endHours":17.02299708393938,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02299708393938,"endHours":18.02299708393938,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02299708393938,"endHours":19.02299708393938,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02299708393938,"endHours":20.02299708393938,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02299708393938,"endHours":21.02299708393938,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02299708393938,"endHours":22.02299708393938,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02299708393938,"endHours":23.02299708393938,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02299708393938,"endHours":24.02299708393938,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02299708393938,"endHours":25.02299708393938,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02299708393938,"endHours":26.02299708393938,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02299708393938,"endHours":27.02299708393938,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02299708393938,"endHours":28.02299708393938,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02299708393938,"endHours":29.02299708393938,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02299708393938,"endHours":30.02299708393938,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02299708393938,"endHours":31.02299708393938,"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.11852049633227,"eotMinutes":5.090650249418121,"ayanamsa":23.8383}},"calendars":{"vikram_samvat":2055,"vikram_samvatsara":"Khara","saka_samvat":1920,"saka_samvatsara":"Bahudhānya","bengali_samvat":1405,"malayalam_era":1174,"nanakshahi_year":529,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Daśamī · Vikram 2055 Khara · Śaka 1920 Bahudhānya"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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":"Ravivāra (Sunday) — 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 13, 1998 CE · Mathurā · Vidhyamitra","description":"December 13, 1998 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1998-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1998-12-13","sa":"https://sa.vidhyamitra.com/city/mathura/1998-12-13","hi":"https://hi.vidhyamitra.com/city/mathura/1998-12-13","x-default":"https://vidhyamitra.com/city/mathura/1998-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:47:15.903Z","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":"2026-05-14T15:47:15.903Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:47:15.903Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}