{"id":"vidhyamitra:city-day:mathura:2094-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2094-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2094-01-04","date_display":"January 4, 2094 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":2094,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485881.770833,"kali_year":5195,"ahargana":1897416.2708,"sun":{"sidereal_longitude":258.5787,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9611,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.3825,"elapsed_within_tithi_degrees":4.3825},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9611,"elapsed_within_degrees":0.2945},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.5398},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2094,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485881.770833,"ahargana":1897416.2708,"kali_year":5195,"ayanamsa_lahiri":25.1663,"grahas":{"sun":{"sidereal_longitude":259.0137930000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":104.32269300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":1.6263},"mars":{"sidereal_longitude":298.59859299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.755393,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":330.448093,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":232.376893,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":99.83599300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":85.755,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.755,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2094,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485881.770833,"kali_year":5195,"ahargana":1897416.2708,"sun":{"sidereal_longitude":258.5787,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9611,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.3825,"elapsed_within_tithi_degrees":4.3825},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9611,"elapsed_within_degrees":0.2945},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.5398},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.626,"elongation":151.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.626,"opposition_distance":28.382}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":-0.728,"elongation":2.448}]},"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":"07:10","sunsetLocal":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.46383519642086,"dayLengthDisplay":"10 Hours 27 Mins 50 Secs","nightLengthDisplay":"13 Hours 32 Mins 10 Secs","moonriseLocal":"19:24","moonsetLocal":"08:47","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.481546915764614,"endHours":9.789526315317222,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.097505714869829,"endHours":12.405485114422437,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.713464513975044,"endHours":15.021443913527651,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.61512906204354,"endHours":9.963923568590902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.609560649396208,"endHours":7.8885962546340975,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056690607875074,"endHours":12.754279620969799,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.778389490022558,"endHours":6.475978503117282,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.301581249843601,"endHours":7.173567516212006,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.149457647159245,"endHours":14.84704666025397,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.437402712632867,"endHours":17.837402712632866,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.637402712632866,"endHours":18.073395845817068,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.387402712632866,"endHours":19.137402712632866,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056690607875076,"endHours":24.754279620969797,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:29","startHours":7.173567516212006,"endHours":8.481546915764614,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.481546915764614,"endHours":9.789526315317222,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.789526315317222,"endHours":11.097505714869829,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.097505714869829,"endHours":12.405485114422437,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.713464513975044,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.713464513975044,"endHours":15.021443913527651,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:20","startHours":15.021443913527651,"endHours":16.32942331308026,"quality":"auspicious"},{"name":"Amṛta","start":"16:20","end":"17:38","startHours":16.32942331308026,"endHours":17.637402712632866,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:38","end":"19:20","startHours":17.637402712632866,"endHours":19.32942331308026,"quality":"neutral"},{"name":"Labha","start":"19:20","end":"21:01","startHours":19.32942331308026,"endHours":21.02144391352765,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.02144391352765,"endHours":22.713464513975044,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:24","startHours":22.713464513975044,"endHours":24.405485114422437,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.09750571486983,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.09750571486983,"endHours":27.78952631531722,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.78952631531722,"endHours":29.481546915764614,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:10","startHours":29.481546915764614,"endHours":31.173567516212007,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173567516212006,"endHours":8.173567516212007,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173567516212007,"endHours":9.173567516212007,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173567516212007,"endHours":10.173567516212007,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173567516212007,"endHours":11.173567516212007,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173567516212007,"endHours":12.173567516212007,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173567516212007,"endHours":13.173567516212007,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173567516212007,"endHours":14.173567516212007,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173567516212007,"endHours":15.173567516212007,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173567516212007,"endHours":16.173567516212007,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173567516212007,"endHours":17.173567516212007,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173567516212007,"endHours":18.173567516212007,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173567516212007,"endHours":19.173567516212007,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173567516212007,"endHours":20.173567516212007,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173567516212007,"endHours":21.173567516212007,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173567516212007,"endHours":22.173567516212007,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173567516212007,"endHours":23.173567516212007,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173567516212007,"endHours":24.173567516212007,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173567516212007,"endHours":25.173567516212007,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173567516212007,"endHours":26.173567516212007,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173567516212007,"endHours":27.173567516212007,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173567516212007,"endHours":28.173567516212007,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173567516212007,"endHours":29.173567516212007,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173567516212007,"endHours":30.173567516212007,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173567516212007,"endHours":31.173567516212007,"planetary_lord":"Venus"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.68184855112781,"eotMinutes":-5.02390686534617,"ayanamsa":25.1663}},"calendars":{"vikram_samvat":2151,"vikram_samvatsara":"Prabhava","saka_samvat":2016,"saka_samvatsara":"Ānanda","bengali_samvat":1501,"malayalam_era":1270,"nanakshahi_year":625,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2151 Prabhava · Śaka 2016 Ānanda"},"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":"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 January 4, 2094 CE · Mathurā · Vidhyamitra","description":"January 4, 2094 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 07:10, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2094-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2094-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/2094-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/2094-01-04","x-default":"https://vidhyamitra.com/city/mathura/2094-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:55:41.007Z","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":"2026-05-14T14:55:41.007Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:55:41.007Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}