{"id":"vidhyamitra:city-day:mathura:2065-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2065-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-01-07","date_display":"January 7, 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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475292.770833,"kali_year":5166,"ahargana":1886827.2708,"sun":{"sidereal_longitude":262.1809,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":266.8415,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.6606,"elapsed_within_tithi_degrees":4.6606},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":266.8415,"elapsed_within_degrees":0.1748},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.0223},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2065,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475292.770833,"ahargana":1886827.2708,"kali_year":5166,"ayanamsa_lahiri":24.7613,"grahas":{"sun":{"sidereal_longitude":262.51717099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":265.467271,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-1.5355},"mars":{"sidereal_longitude":200.29127100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":247.85867099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":192.003871,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":308.555971,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":106.69017099999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":286.8111,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":106.8111,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475292.770833,"kali_year":5166,"ahargana":1886827.2708,"sun":{"sidereal_longitude":262.1809,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":266.8415,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.6606,"elapsed_within_tithi_degrees":4.6606},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":266.8415,"elapsed_within_degrees":0.1748},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.0223},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.535,"elongation":4.661},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.535,"opposition_distance":175.339}},"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":"17:40","solarNoonLocal":"12:26","dayLengthHours":10.493458605369225,"dayLengthDisplay":"10 Hours 29 Mins 36 Secs","nightLengthDisplay":"13 Hours 30 Mins 24 Secs","moonriseLocal":"07:23","moonsetLocal":"17:52","rahuKala":{"name":"Rāhu Kāla","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.738303564128149,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:48","startHours":8.491574261443537,"endHours":9.80325658711469,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:07","end":"12:26","startHours":11.114938912785842,"endHours":12.426621238456995,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.628365610358536,"endHours":9.978147563870843,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.617119377662768,"endHours":7.896944940472614,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.076839284944688,"endHours":12.776403191969303,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.780764121723154,"endHours":6.480328028747769,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.305437051991615,"endHours":7.179891935772384,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.175531006018534,"endHours":14.87509491304315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.47335054114161,"endHours":17.87335054114161,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:07","startHours":17.67335054114161,"endHours":18.110577983031995,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.42335054114161,"endHours":19.17335054114161,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.076839284944686,"endHours":24.776403191969305,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:29","startHours":7.179891935772384,"endHours":8.491574261443537,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:48","startHours":8.491574261443537,"endHours":9.80325658711469,"quality":"auspicious"},{"name":"Kāla","start":"09:48","end":"11:07","startHours":9.80325658711469,"endHours":11.114938912785842,"quality":"inauspicious"},{"name":"Śubha","start":"11:07","end":"12:26","startHours":11.114938912785842,"endHours":12.426621238456995,"quality":"auspicious"},{"name":"Roga","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.738303564128149,"quality":"inauspicious"},{"name":"Udveg","start":"13:44","end":"15:03","startHours":13.738303564128149,"endHours":15.049985889799302,"quality":"inauspicious"},{"name":"Chala","start":"15:03","end":"16:22","startHours":15.049985889799302,"endHours":16.361668215470456,"quality":"neutral"},{"name":"Labha","start":"16:22","end":"17:40","startHours":16.361668215470456,"endHours":17.67335054114161,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:40","end":"19:22","startHours":17.67335054114161,"endHours":19.361668215470456,"quality":"inauspicious"},{"name":"Chala","start":"19:22","end":"21:03","startHours":19.361668215470456,"endHours":21.049985889799302,"quality":"neutral"},{"name":"Labha","start":"21:03","end":"22:44","startHours":21.049985889799302,"endHours":22.73830356412815,"quality":"auspicious"},{"name":"Amṛta","start":"22:44","end":"00:26","startHours":22.73830356412815,"endHours":24.426621238456995,"quality":"auspicious"},{"name":"Kāla","start":"00:26","end":"02:07","startHours":24.426621238456995,"endHours":26.114938912785846,"quality":"inauspicious"},{"name":"Śubha","start":"02:07","end":"03:48","startHours":26.114938912785846,"endHours":27.80325658711469,"quality":"auspicious"},{"name":"Roga","start":"03:48","end":"05:29","startHours":27.80325658711469,"endHours":29.49157426144354,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:11","startHours":29.49157426144354,"endHours":31.179891935772382,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.179891935772384,"endHours":8.179891935772384,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.179891935772384,"endHours":9.179891935772384,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.179891935772384,"endHours":10.179891935772384,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.179891935772384,"endHours":11.179891935772384,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.179891935772384,"endHours":12.179891935772384,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.179891935772384,"endHours":13.179891935772384,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.179891935772384,"endHours":14.179891935772384,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.179891935772384,"endHours":15.179891935772384,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.179891935772384,"endHours":16.179891935772382,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.179891935772382,"endHours":17.179891935772382,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.179891935772382,"endHours":18.179891935772382,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.179891935772382,"endHours":19.179891935772382,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.179891935772382,"endHours":20.179891935772382,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.179891935772382,"endHours":21.179891935772382,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.179891935772382,"endHours":22.179891935772382,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.179891935772382,"endHours":23.179891935772382,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.179891935772382,"endHours":24.179891935772382,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.179891935772382,"endHours":25.179891935772382,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.179891935772382,"endHours":26.179891935772382,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.179891935772382,"endHours":27.179891935772382,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.179891935772382,"endHours":28.179891935772382,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.179891935772382,"endHours":29.179891935772382,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.179891935772382,"endHours":30.179891935772382,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.179891935772382,"endHours":31.179891935772382,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","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":-22.320290021697062,"eotMinutes":-6.292074307419696,"ayanamsa":24.7613}},"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 Pratipada · 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}],"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":[]},"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 7, 2065 CE · Mathurā · Vidhyamitra","description":"January 7, 2065 CE for Mathurā: Śukla Pratipada, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2065-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2065-01-07","sa":"https://sa.vidhyamitra.com/city/mathura/2065-01-07","hi":"https://hi.vidhyamitra.com/city/mathura/2065-01-07","x-default":"https://vidhyamitra.com/city/mathura/2065-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:42:15.516Z","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":"2026-05-14T17:42:15.516Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:42:15.516Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}