{"id":"vidhyamitra:city-day:mathura:2085-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2085-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-01-10","date_display":"January 10, 2085 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":2085,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482600.770833,"kali_year":5186,"ahargana":1894135.2708,"sun":{"sidereal_longitude":265.0844,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":75.7934,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.7091,"elapsed_within_tithi_degrees":2.7091},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.7934,"elapsed_within_degrees":9.1268},"yoga":{"number":26,"name":"Indra","sum_longitude":340.8778},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2085,"month":1,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482600.770833,"ahargana":1894135.2708,"kali_year":5186,"ayanamsa_lahiri":25.0408,"grahas":{"sun":{"sidereal_longitude":265.442952,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":75.58215200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":0.2983},"mars":{"sidereal_longitude":20.155552,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.083352,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":73.42765200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":250.88695199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":333.307852,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":259.5981,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":79.5981,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2085,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482600.770833,"kali_year":5186,"ahargana":1894135.2708,"sun":{"sidereal_longitude":265.0844,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":75.7934,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.7091,"elapsed_within_tithi_degrees":2.7091},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.7934,"elapsed_within_degrees":9.1268},"yoga":{"number":26,"name":"Indra","sum_longitude":340.8778},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.298,"elongation":170.709},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.298,"opposition_distance":9.291}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":-0.698,"opposition_distance":2.36}]},"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":"07:11","sunsetLocal":"17:43","solarNoonLocal":"12:27","dayLengthHours":10.529701075432527,"dayLengthDisplay":"10 Hours 31 Mins 47 Secs","nightLengthDisplay":"13 Hours 28 Mins 13 Secs","moonriseLocal":"16:53","moonsetLocal":"06:41","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"13:46","startHours":12.446742063742768,"endHours":13.762954698171832,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:49","startHours":8.498104160455568,"endHours":9.814316794884636,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:27","startHours":11.1305294293137,"endHours":12.446742063742768,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.63882177696076,"endHours":9.989811812808512,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.620629070836192,"endHours":7.901421099514393,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.095752027895017,"endHours":12.797732099590519,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7779313826355,"endHours":6.479911454331002,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304416436407126,"endHours":7.1818915260265035,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.201692242981522,"endHours":14.903672314677024,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.511592601459032,"endHours":17.91159260145903,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.71159260145903,"endHours":18.150330146268722,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.46159260145903,"endHours":19.21159260145903,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.095752027895017,"endHours":24.79773209959052,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:30","startHours":7.1818915260265035,"endHours":8.498104160455568,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:49","startHours":8.498104160455568,"endHours":9.814316794884636,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:08","startHours":9.814316794884636,"endHours":11.1305294293137,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:27","startHours":11.1305294293137,"endHours":12.446742063742768,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"13:46","startHours":12.446742063742768,"endHours":13.762954698171832,"quality":"inauspicious"},{"name":"Udveg","start":"13:46","end":"15:05","startHours":13.762954698171832,"endHours":15.0791673326009,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:24","startHours":15.0791673326009,"endHours":16.395379967029964,"quality":"neutral"},{"name":"Labha","start":"16:24","end":"17:43","startHours":16.395379967029964,"endHours":17.71159260145903,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:43","end":"19:24","startHours":17.71159260145903,"endHours":19.395379967029967,"quality":"inauspicious"},{"name":"Chala","start":"19:24","end":"21:05","startHours":19.395379967029967,"endHours":21.0791673326009,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:46","startHours":21.0791673326009,"endHours":22.762954698171832,"quality":"auspicious"},{"name":"Amṛta","start":"22:46","end":"00:27","startHours":22.762954698171832,"endHours":24.446742063742768,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"02:08","startHours":24.446742063742768,"endHours":26.130529429313704,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:49","startHours":26.130529429313704,"endHours":27.814316794884636,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:30","startHours":27.814316794884636,"endHours":29.49810416045557,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:11","startHours":29.49810416045557,"endHours":31.181891526026504,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1818915260265035,"endHours":8.181891526026504,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.181891526026504,"endHours":9.181891526026504,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.181891526026504,"endHours":10.181891526026504,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.181891526026504,"endHours":11.181891526026504,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.181891526026504,"endHours":12.181891526026504,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.181891526026504,"endHours":13.181891526026504,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.181891526026504,"endHours":14.181891526026504,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.181891526026504,"endHours":15.181891526026504,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.181891526026504,"endHours":16.181891526026504,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.181891526026504,"endHours":17.181891526026504,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.181891526026504,"endHours":18.181891526026504,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.181891526026504,"endHours":19.181891526026504,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.181891526026504,"endHours":20.181891526026504,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.181891526026504,"endHours":21.181891526026504,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.181891526026504,"endHours":22.181891526026504,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.181891526026504,"endHours":23.181891526026504,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.181891526026504,"endHours":24.181891526026504,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.181891526026504,"endHours":25.181891526026504,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.181891526026504,"endHours":26.181891526026504,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.181891526026504,"endHours":27.181891526026504,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.181891526026504,"endHours":28.181891526026504,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.181891526026504,"endHours":29.181891526026504,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.181891526026504,"endHours":30.181891526026504,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.181891526026504,"endHours":31.181891526026504,"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"},"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":-21.87509370435058,"eotMinutes":-7.499323824565993,"ayanamsa":25.0408}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"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":"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 10, 2085 CE · Mathurā · Vidhyamitra","description":"January 10, 2085 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 07:11, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2085-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2085-01-10","sa":"https://sa.vidhyamitra.com/city/mathura/2085-01-10","hi":"https://hi.vidhyamitra.com/city/mathura/2085-01-10","x-default":"https://vidhyamitra.com/city/mathura/2085-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:57:40.824Z","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":"2026-05-14T14:57:40.824Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:57:40.824Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}