{"id":"vidhyamitra:city-day:mathura:2075-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-03","date_display":"January 3, 2075 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":2075,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478940.770833,"kali_year":5176,"ahargana":1890475.2708,"sun":{"sidereal_longitude":257.4646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":85.3761,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9115,"elapsed_within_tithi_degrees":7.9115},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3761,"elapsed_within_degrees":5.3761},"yoga":{"number":26,"name":"Indra","sum_longitude":342.8407},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2075,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478940.770833,"ahargana":1890475.2708,"kali_year":5176,"ayanamsa_lahiri":24.9008,"grahas":{"sun":{"sidereal_longitude":257.86489000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":84.90609,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-0.637},"mars":{"sidereal_longitude":271.45009000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":276.29929000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":138.22669000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":210.50128999999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.63509,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":93.5225,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.5225,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":2075,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478940.770833,"kali_year":5176,"ahargana":1890475.2708,"sun":{"sidereal_longitude":257.4646,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":85.3761,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.9115,"elapsed_within_tithi_degrees":7.9115},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3761,"elapsed_within_degrees":5.3761},"yoga":{"number":26,"name":"Indra","sum_longitude":342.8407},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.637,"elongation":172.088},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.637,"opposition_distance":7.912}},"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":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.45214306631552,"dayLengthDisplay":"10 Hours 27 Mins 08 Secs","nightLengthDisplay":"13 Hours 32 Mins 52 Secs","moonriseLocal":"18:01","moonsetLocal":"07:43","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:01","startHours":13.70476156380041,"endHours":15.01127944708985,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:29","startHours":7.17217214735321,"endHours":8.47869003064265,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:06","startHours":9.78520791393209,"endHours":11.09172579722153,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.611005529493498,"endHours":9.959410298370681,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.60767810844969,"endHours":7.886401923551437,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049838911633785,"endHours":12.746648449388154,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.778553071844474,"endHours":6.475362609598842,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.301160225160251,"endHours":7.17217214735321,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.14026752489689,"endHours":14.837077062651257,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42431521366873,"endHours":17.82431521366873,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:04","startHours":17.62431521366873,"endHours":18.05982117476521,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37431521366873,"endHours":19.12431521366873,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049838911633785,"endHours":24.746648449388154,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:29","startHours":7.17217214735321,"endHours":8.47869003064265,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:47","startHours":8.47869003064265,"endHours":9.78520791393209,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:06","startHours":9.78520791393209,"endHours":11.09172579722153,"quality":"inauspicious"},{"name":"Chala","start":"11:06","end":"12:24","startHours":11.09172579722153,"endHours":12.39824368051097,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.70476156380041,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:01","startHours":13.70476156380041,"endHours":15.01127944708985,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.01127944708985,"endHours":16.317797330379292,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.317797330379292,"endHours":17.62431521366873,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.62431521366873,"endHours":19.31779733037929,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.31779733037929,"endHours":21.01127944708985,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:42","startHours":21.01127944708985,"endHours":22.70476156380041,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:24","startHours":22.70476156380041,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.091725797221528,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:47","startHours":26.091725797221528,"endHours":27.78520791393209,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:29","startHours":27.78520791393209,"endHours":29.47869003064265,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:10","startHours":29.47869003064265,"endHours":31.17217214735321,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.17217214735321,"endHours":8.17217214735321,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.17217214735321,"endHours":9.17217214735321,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.17217214735321,"endHours":10.17217214735321,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.17217214735321,"endHours":11.17217214735321,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.17217214735321,"endHours":12.17217214735321,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.17217214735321,"endHours":13.17217214735321,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.17217214735321,"endHours":14.17217214735321,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.17217214735321,"endHours":15.17217214735321,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.17217214735321,"endHours":16.17217214735321,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17217214735321,"endHours":17.17217214735321,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17217214735321,"endHours":18.17217214735321,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17217214735321,"endHours":19.17217214735321,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17217214735321,"endHours":20.17217214735321,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17217214735321,"endHours":21.17217214735321,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17217214735321,"endHours":22.17217214735321,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17217214735321,"endHours":23.17217214735321,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17217214735321,"endHours":24.17217214735321,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17217214735321,"endHours":25.17217214735321,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17217214735321,"endHours":26.17217214735321,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17217214735321,"endHours":27.17217214735321,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17217214735321,"endHours":28.17217214735321,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17217214735321,"endHours":29.17217214735321,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17217214735321,"endHours":30.17217214735321,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17217214735321,"endHours":31.17217214735321,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","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":-22.82397190411441,"eotMinutes":-4.589420830658165,"ayanamsa":24.9008}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 3, 2075 CE · Mathurā · Vidhyamitra","description":"January 3, 2075 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2075-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2075-01-03","x-default":"https://vidhyamitra.com/city/mathura/2075-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:41:47.325Z","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":"2026-05-14T17:41:47.325Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:41:47.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}