{"id":"vidhyamitra:city-day:mathura:-3170-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3170-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3170-01-14","date_display":"January 14, 3171 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3170,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563228.770833,"kali_year":-69,"ahargana":-25236.7292,"sun":{"sidereal_longitude":328.865,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":114.6595,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.7944,"elapsed_within_tithi_degrees":1.7944},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.6595,"elapsed_within_degrees":7.9928},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.5245},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":-3170,"month":1,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563228.770833,"ahargana":-25236.7292,"kali_year":-69,"ayanamsa_lahiri":-48.368,"grahas":{"sun":{"sidereal_longitude":328.865,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":114.6595,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false,"latitude":2.7374},"mars":{"sidereal_longitude":65.2423,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":341.4367,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":56.9112,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":295.2665,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":242.3857,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.1634,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.1634,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3170,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563228.770833,"kali_year":-69,"ahargana":-25236.7292,"sun":{"sidereal_longitude":328.865,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":114.6595,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.7944,"elapsed_within_tithi_degrees":1.7944},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.6595,"elapsed_within_degrees":7.9928},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.5245},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.737,"elongation":145.794},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.737,"opposition_distance":34.206}},"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":"07:15","sunsetLocal":"17:41","solarNoonLocal":"12:28","dayLengthHours":10.435849263190207,"dayLengthDisplay":"10 Hours 26 Mins 09 Secs","nightLengthDisplay":"13 Hours 33 Mins 51 Secs","moonriseLocal":"15:22","moonsetLocal":"05:01","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.77619324122125,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"09:52","startHours":8.558268609626147,"endHours":9.862749767524921,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:28","startHours":11.167230925423699,"endHours":12.471712083322473,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.688818946471752,"endHours":10.036680588578092,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.688614504360295,"endHours":7.966903818045368,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.123850441216133,"endHours":12.819573725428812,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.862340883302009,"endHours":6.55806416751469,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.384133346461519,"endHours":7.25378745172737,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:54","startHours":14.211020293854176,"endHours":14.906743578066857,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.489636714917577,"endHours":17.889636714917575,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:07","startHours":17.689636714917576,"endHours":18.124463767550502,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.439636714917576,"endHours":19.189636714917576,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.12385044121613,"endHours":24.819573725428814,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:15","end":"08:33","startHours":7.25378745172737,"endHours":8.558268609626147,"quality":"auspicious"},{"name":"Amṛta","start":"08:33","end":"09:52","startHours":8.558268609626147,"endHours":9.862749767524921,"quality":"auspicious"},{"name":"Kāla","start":"09:52","end":"11:10","startHours":9.862749767524921,"endHours":11.167230925423699,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:28","startHours":11.167230925423699,"endHours":12.471712083322473,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.77619324122125,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:05","startHours":13.77619324122125,"endHours":15.080674399120024,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:23","startHours":15.080674399120024,"endHours":16.385155557018802,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:41","startHours":16.385155557018802,"endHours":17.689636714917576,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:41","end":"19:23","startHours":17.689636714917576,"endHours":19.3851555570188,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"21:05","startHours":19.3851555570188,"endHours":21.080674399120024,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:47","startHours":21.080674399120024,"endHours":22.77619324122125,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.77619324122125,"endHours":24.471712083322473,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:10","startHours":24.471712083322473,"endHours":26.167230925423695,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:52","startHours":26.167230925423695,"endHours":27.86274976752492,"quality":"auspicious"},{"name":"Roga","start":"03:52","end":"05:33","startHours":27.86274976752492,"endHours":29.558268609626147,"quality":"inauspicious"},{"name":"Udveg","start":"05:33","end":"07:15","startHours":29.558268609626147,"endHours":31.25378745172737,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.25378745172737,"endHours":8.25378745172737,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.25378745172737,"endHours":9.25378745172737,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.25378745172737,"endHours":10.25378745172737,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.25378745172737,"endHours":11.25378745172737,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.25378745172737,"endHours":12.25378745172737,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.25378745172737,"endHours":13.25378745172737,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.25378745172737,"endHours":14.25378745172737,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.25378745172737,"endHours":15.25378745172737,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.25378745172737,"endHours":16.25378745172737,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.25378745172737,"endHours":17.25378745172737,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.25378745172737,"endHours":18.25378745172737,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.25378745172737,"endHours":19.25378745172737,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.25378745172737,"endHours":20.25378745172737,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.25378745172737,"endHours":21.25378745172737,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.25378745172737,"endHours":22.25378745172737,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.25378745172737,"endHours":23.25378745172737,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.25378745172737,"endHours":24.25378745172737,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.25378745172737,"endHours":25.25378745172737,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.25378745172737,"endHours":26.25378745172737,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.25378745172737,"endHours":27.25378745172737,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.25378745172737,"endHours":28.25378745172737,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.25378745172737,"endHours":29.25378745172737,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.25378745172737,"endHours":30.25378745172737,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.25378745172737,"endHours":31.25378745172737,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.02147960297773,"eotMinutes":-8.99752499934842,"ayanamsa":-48.368}},"calendars":{"vikram_samvat":-3113,"saka_samvat":-3248,"bengali_samvat":-3763,"malayalam_era":-3994,"nanakshahi_year":-4639,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Trayodaśī · Vikram -3113 undefined · Śaka -3248 undefined"},"festivals":[{"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":"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 14, 3171 BCE · Mathurā · Vidhyamitra","description":"January 14, 3171 BCE for Mathurā: Śukla Trayodaśī, sūryodaya 07:15, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3170-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3170-01-14","sa":"https://sa.vidhyamitra.com/city/mathura/-3170-01-14","hi":"https://hi.vidhyamitra.com/city/mathura/-3170-01-14","x-default":"https://vidhyamitra.com/city/mathura/-3170-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T15:35:42.258Z","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":"2026-09-10T15:35:42.258Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T15:35:42.258Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}