{"id":"vidhyamitra:city-day:mathura:2069-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2069-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-01-03","date_display":"January 3, 2069 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":2069,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476749.770833,"kali_year":5170,"ahargana":1888284.2708,"sun":{"sidereal_longitude":258.0327,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":21.1632,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.1305,"elapsed_within_tithi_degrees":3.1305},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.1632,"elapsed_within_degrees":7.8298},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.1958},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2069,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476749.770833,"ahargana":1888284.2708,"kali_year":5170,"ayanamsa_lahiri":24.817,"grahas":{"sun":{"sidereal_longitude":258.414403,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":20.852103,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":0.6605},"mars":{"sidereal_longitude":226.91140300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":267.76380300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":293.546203,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":241.18620299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":161.296203,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":209.6123,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.6123,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2069,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476749.770833,"kali_year":5170,"ahargana":1888284.2708,"sun":{"sidereal_longitude":258.0327,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":21.1632,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.1305,"elapsed_within_tithi_degrees":3.1305},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.1632,"elapsed_within_degrees":7.8298},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.1958},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.661,"elongation":123.131},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.661,"opposition_distance":56.869}},"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":"07:10","sunsetLocal":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.4558640556754,"dayLengthDisplay":"10 Hours 27 Mins 21 Secs","nightLengthDisplay":"13 Hours 32 Mins 39 Secs","moonriseLocal":"13:55","moonsetLocal":"03:12","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:01","startHours":13.705226687470393,"endHours":15.012209694429819,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:29","startHours":7.170311652673268,"endHours":8.477294659632694,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:05","startHours":9.784277666592118,"endHours":11.091260673551544,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.610013265664195,"endHours":9.958542067520042,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.605972654993076,"endHours":7.884795696477753,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049714878655122,"endHours":12.746772482366817,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.776196445249882,"endHours":6.473254048961575,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.298989648033651,"endHours":7.170311652673268,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.140887689790201,"endHours":14.837945293501894,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.42617570834867,"endHours":17.826175708348668,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.62617570834867,"endHours":18.061836710668477,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.37617570834867,"endHours":19.12617570834867,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049714878655124,"endHours":24.746772482366815,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:29","startHours":7.170311652673268,"endHours":8.477294659632694,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:47","startHours":8.477294659632694,"endHours":9.784277666592118,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:05","startHours":9.784277666592118,"endHours":11.091260673551544,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:24","startHours":11.091260673551544,"endHours":12.39824368051097,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.705226687470393,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:01","startHours":13.705226687470393,"endHours":15.012209694429819,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.012209694429819,"endHours":16.31919270138924,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:38","startHours":16.31919270138924,"endHours":17.62617570834867,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:38","end":"19:19","startHours":17.62617570834867,"endHours":19.319192701389245,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.319192701389245,"endHours":21.012209694429817,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:42","startHours":21.012209694429817,"endHours":22.705226687470393,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:24","startHours":22.705226687470393,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:05","startHours":24.39824368051097,"endHours":26.091260673551545,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:47","startHours":26.091260673551545,"endHours":27.784277666592118,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:29","startHours":27.784277666592118,"endHours":29.477294659632694,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:10","startHours":29.477294659632694,"endHours":31.17031165267327,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.170311652673268,"endHours":8.170311652673268,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.170311652673268,"endHours":9.170311652673268,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.170311652673268,"endHours":10.170311652673268,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.170311652673268,"endHours":11.170311652673268,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.170311652673268,"endHours":12.170311652673268,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.170311652673268,"endHours":13.170311652673268,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.170311652673268,"endHours":14.170311652673268,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.170311652673268,"endHours":15.170311652673268,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.170311652673268,"endHours":16.17031165267327,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17031165267327,"endHours":17.17031165267327,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17031165267327,"endHours":18.17031165267327,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17031165267327,"endHours":19.17031165267327,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17031165267327,"endHours":20.17031165267327,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17031165267327,"endHours":21.17031165267327,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17031165267327,"endHours":22.17031165267327,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17031165267327,"endHours":23.17031165267327,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17031165267327,"endHours":24.17031165267327,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17031165267327,"endHours":25.17031165267327,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17031165267327,"endHours":26.17031165267327,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17031165267327,"endHours":27.17031165267327,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17031165267327,"endHours":28.17031165267327,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17031165267327,"endHours":29.17031165267327,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17031165267327,"endHours":30.17031165267327,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17031165267327,"endHours":31.17031165267327,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-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":-22.77877731445944,"eotMinutes":-4.589420830658165,"ayanamsa":24.817}},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ekādaśī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"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":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 3, 2069 CE · Mathurā · Vidhyamitra","description":"January 3, 2069 CE for Mathurā: Śukla Ekādaśī, sūryodaya 07:10, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2069-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2069-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2069-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2069-01-03","x-default":"https://vidhyamitra.com/city/mathura/2069-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:54:04.877Z","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":"2026-05-14T14:54:04.877Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:54:04.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}