{"id":"vidhyamitra:city-day:mathura:2013-01-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2013-01-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-01-25","date_display":"January 25, 2013 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":2013,"month":1,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456317.770833,"kali_year":5114,"ahargana":1867852.2708,"sun":{"sidereal_longitude":281.1252,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":75.9181,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.7929,"elapsed_within_tithi_degrees":10.7929},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.9181,"elapsed_within_degrees":9.2514},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0433},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2013,"month":1,"day":25,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456317.770833,"ahargana":1867852.2708,"kali_year":5114,"ayanamsa_lahiri":24.0355,"grahas":{"sun":{"sidereal_longitude":281.18815500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":76.937255,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":-3.1084},"mars":{"sidereal_longitude":299.469155,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":285.571555,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":41.92895499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":265.687555,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.69885499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":212.198,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.198,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"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":2013,"month":1,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456317.770833,"kali_year":5114,"ahargana":1867852.2708,"sun":{"sidereal_longitude":281.1252,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":75.9181,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.7929,"elapsed_within_tithi_degrees":10.7929},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.9181,"elapsed_within_degrees":9.2514},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0433},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.108,"elongation":154.793},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.108,"opposition_distance":25.207}},"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":"07:09","sunsetLocal":"17:54","solarNoonLocal":"12:32","dayLengthHours":10.761161917345461,"dayLengthDisplay":"10 Hours 45 Mins 40 Secs","nightLengthDisplay":"13 Hours 14 Mins 20 Secs","moonriseLocal":"16:01","moonsetLocal":"05:49","rahuKala":{"name":"Rāhu Kāla","start":"11:11","end":"12:32","startHours":11.18175356903101,"endHours":12.52689880869919,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:13","end":"16:34","startHours":15.217189288035556,"endHours":16.56233452770374,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:50","startHours":8.491463089694644,"endHours":9.836608329362825,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.657255630740401,"endHours":10.01596102798525,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.5946995965825215,"endHours":7.8816639143784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.168193411454341,"endHours":12.88560420594404,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.711496261047065,"endHours":6.428907055536763,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.249554356914339,"endHours":7.146317850026461,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:02","startHours":14.320425794923434,"endHours":15.037836589413132,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.70747976737192,"endHours":18.10747976737192,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:21","startHours":17.90747976737192,"endHours":18.355861513927984,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.65747976737192,"endHours":19.40747976737192,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.168193411454343,"endHours":24.885604205944038,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:09","end":"08:29","startHours":7.146317850026461,"endHours":8.491463089694644,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:50","startHours":8.491463089694644,"endHours":9.836608329362825,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:11","startHours":9.836608329362825,"endHours":11.18175356903101,"quality":"auspicious"},{"name":"Kāla","start":"11:11","end":"12:32","startHours":11.18175356903101,"endHours":12.52689880869919,"quality":"inauspicious"},{"name":"Śubha","start":"12:32","end":"13:52","startHours":12.52689880869919,"endHours":13.872044048367375,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:13","startHours":13.872044048367375,"endHours":15.217189288035556,"quality":"inauspicious"},{"name":"Udveg","start":"15:13","end":"16:34","startHours":15.217189288035556,"endHours":16.56233452770374,"quality":"inauspicious"},{"name":"Chala","start":"16:34","end":"17:54","startHours":16.56233452770374,"endHours":17.90747976737192,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:54","end":"19:34","startHours":17.90747976737192,"endHours":19.56233452770374,"quality":"inauspicious"},{"name":"Udveg","start":"19:34","end":"21:13","startHours":19.56233452770374,"endHours":21.217189288035556,"quality":"inauspicious"},{"name":"Chala","start":"21:13","end":"22:52","startHours":21.217189288035556,"endHours":22.87204404836737,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:32","startHours":22.87204404836737,"endHours":24.52689880869919,"quality":"auspicious"},{"name":"Amṛta","start":"00:32","end":"02:11","startHours":24.52689880869919,"endHours":26.18175356903101,"quality":"auspicious"},{"name":"Kāla","start":"02:11","end":"03:50","startHours":26.18175356903101,"endHours":27.836608329362825,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:29","startHours":27.836608329362825,"endHours":29.49146308969464,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:09","startHours":29.49146308969464,"endHours":31.14631785002646,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.146317850026461,"endHours":8.14631785002646,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.14631785002646,"endHours":9.14631785002646,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.14631785002646,"endHours":10.14631785002646,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.14631785002646,"endHours":11.14631785002646,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.14631785002646,"endHours":12.14631785002646,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.14631785002646,"endHours":13.14631785002646,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.14631785002646,"endHours":14.14631785002646,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.14631785002646,"endHours":15.14631785002646,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.14631785002646,"endHours":16.14631785002646,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14631785002646,"endHours":17.14631785002646,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14631785002646,"endHours":18.14631785002646,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14631785002646,"endHours":19.14631785002646,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14631785002646,"endHours":20.14631785002646,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14631785002646,"endHours":21.14631785002646,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14631785002646,"endHours":22.14631785002646,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14631785002646,"endHours":23.14631785002646,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14631785002646,"endHours":24.14631785002646,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14631785002646,"endHours":25.14631785002646,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14631785002646,"endHours":26.14631785002646,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14631785002646,"endHours":27.14631785002646,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14631785002646,"endHours":28.14631785002646,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14631785002646,"endHours":29.14631785002646,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14631785002646,"endHours":30.14631785002646,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14631785002646,"endHours":31.14631785002646,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.96014485403582,"eotMinutes":-12.308728521951446,"ayanamsa":24.0355}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 25, 2013 CE · Mathurā · Vidhyamitra","description":"January 25, 2013 CE for Mathurā: Śukla Trayodaśī, sūryodaya 07:09, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2013-01-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2013-01-25","sa":"https://sa.vidhyamitra.com/city/mathura/2013-01-25","hi":"https://hi.vidhyamitra.com/city/mathura/2013-01-25","x-default":"https://vidhyamitra.com/city/mathura/2013-01-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:04:08.632Z","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":"2026-05-14T17:04:08.632Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:04:08.632Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}