{"id":"vidhyamitra:city-day:mathura:2065-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2065-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-01-10","date_display":"January 10, 2065 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":2065,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475295.770833,"kali_year":5166,"ahargana":1886830.2708,"sun":{"sidereal_longitude":265.2644,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.3256,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.0613,"elapsed_within_tithi_degrees":5.0613},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.3256,"elapsed_within_degrees":12.9923},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.59},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2065,"month":1,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475295.770833,"ahargana":1886830.2708,"kali_year":5166,"ayanamsa_lahiri":24.7614,"grahas":{"sun":{"sidereal_longitude":265.57455600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":305.180656,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":1.5136},"mars":{"sidereal_longitude":202.12335600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":252.44365600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":192.38905599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":311.36655599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":106.47315600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":286.6522,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":106.6522,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2065,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475295.770833,"kali_year":5166,"ahargana":1886830.2708,"sun":{"sidereal_longitude":265.2644,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":306.3256,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.0613,"elapsed_within_tithi_degrees":5.0613},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.3256,"elapsed_within_degrees":12.9923},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.59},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.514,"elongation":41.061},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.514,"opposition_distance":138.939}},"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":"07:11","sunsetLocal":"17:43","solarNoonLocal":"12:27","dayLengthHours":10.527908588224328,"dayLengthDisplay":"10 Hours 31 Mins 40 Secs","nightLengthDisplay":"13 Hours 28 Mins 20 Secs","moonriseLocal":"09:27","moonsetLocal":"20:44","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:08","startHours":9.814764916686686,"endHours":11.130753490214726,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:46","end":"15:05","startHours":13.76273063727081,"endHours":15.07871921079885,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:30","startHours":7.182787769630604,"endHours":8.498776343158646,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.639299773549613,"endHours":9.990230059823759,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.621450627473284,"endHours":7.902194856492599,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.095811777468624,"endHours":12.797672350016912,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7790666245340265,"endHours":6.480927197082315,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.305462053945243,"endHours":7.182787769630604,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.20139349511349,"endHours":14.903254067661777,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.510696357854933,"endHours":17.91069635785493,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.710696357854932,"endHours":18.14935921569761,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.460696357854932,"endHours":19.210696357854932,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.095811777468622,"endHours":24.797672350016914,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:30","startHours":7.182787769630604,"endHours":8.498776343158646,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:49","startHours":8.498776343158646,"endHours":9.814764916686686,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:08","startHours":9.814764916686686,"endHours":11.130753490214726,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:27","startHours":11.130753490214726,"endHours":12.446742063742768,"quality":"inauspicious"},{"name":"Chala","start":"12:27","end":"13:46","startHours":12.446742063742768,"endHours":13.76273063727081,"quality":"neutral"},{"name":"Labha","start":"13:46","end":"15:05","startHours":13.76273063727081,"endHours":15.07871921079885,"quality":"auspicious"},{"name":"Amṛta","start":"15:05","end":"16:24","startHours":15.07871921079885,"endHours":16.39470778432689,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:43","startHours":16.39470778432689,"endHours":17.710696357854932,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:43","end":"19:24","startHours":17.710696357854932,"endHours":19.39470778432689,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"21:05","startHours":19.39470778432689,"endHours":21.07871921079885,"quality":"auspicious"},{"name":"Kāla","start":"21:05","end":"22:46","startHours":21.07871921079885,"endHours":22.76273063727081,"quality":"inauspicious"},{"name":"Śubha","start":"22:46","end":"00:27","startHours":22.76273063727081,"endHours":24.446742063742768,"quality":"auspicious"},{"name":"Roga","start":"00:27","end":"02:08","startHours":24.446742063742768,"endHours":26.130753490214726,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:49","startHours":26.130753490214726,"endHours":27.814764916686684,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:30","startHours":27.814764916686684,"endHours":29.498776343158646,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:11","startHours":29.498776343158646,"endHours":31.182787769630604,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.182787769630604,"endHours":8.182787769630604,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.182787769630604,"endHours":9.182787769630604,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.182787769630604,"endHours":10.182787769630604,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.182787769630604,"endHours":11.182787769630604,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.182787769630604,"endHours":12.182787769630604,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.182787769630604,"endHours":13.182787769630604,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.182787769630604,"endHours":14.182787769630604,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.182787769630604,"endHours":15.182787769630604,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.182787769630604,"endHours":16.182787769630604,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.182787769630604,"endHours":17.182787769630604,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.182787769630604,"endHours":18.182787769630604,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.182787769630604,"endHours":19.182787769630604,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.182787769630604,"endHours":20.182787769630604,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.182787769630604,"endHours":21.182787769630604,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.182787769630604,"endHours":22.182787769630604,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.182787769630604,"endHours":23.182787769630604,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.182787769630604,"endHours":24.182787769630604,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.182787769630604,"endHours":25.182787769630604,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.182787769630604,"endHours":26.182787769630604,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.182787769630604,"endHours":27.182787769630604,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.182787769630604,"endHours":28.182787769630604,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.182787769630604,"endHours":29.182787769630604,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.182787769630604,"endHours":30.182787769630604,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.182787769630604,"endHours":31.182787769630604,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","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":-21.89718562062202,"eotMinutes":-7.499323824565993,"ayanamsa":24.7614}},"calendars":{"vikram_samvat":2122,"vikram_samvatsara":"Vilambī","saka_samvat":1987,"saka_samvatsara":"Pārthiva","bengali_samvat":1472,"malayalam_era":1241,"nanakshahi_year":596,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2122 Vilambī · Śaka 1987 Pārthiva"},"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":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 10, 2065 CE · Mathurā · Vidhyamitra","description":"January 10, 2065 CE for Mathurā: Śukla Caturthī, sūryodaya 07:11, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2065-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2065-01-10","sa":"https://sa.vidhyamitra.com/city/mathura/2065-01-10","hi":"https://hi.vidhyamitra.com/city/mathura/2065-01-10","x-default":"https://vidhyamitra.com/city/mathura/2065-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:08:08.443Z","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":"2026-05-14T17:08:08.443Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:08:08.443Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}