{"id":"vidhyamitra:city-day:mathura:-3170-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3170-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3170-01-15","date_display":"January 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563229.770833,"kali_year":-69,"ahargana":-25235.7292,"sun":{"sidereal_longitude":329.8631,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":127.3436,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.4805,"elapsed_within_tithi_degrees":1.4805},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.3436,"elapsed_within_degrees":7.3436},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.2067},"karana":{"half_tithi_index":26,"name":"Gara"},"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":-3170,"month":1,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563229.770833,"ahargana":-25235.7292,"kali_year":-69,"ayanamsa_lahiri":-48.368,"grahas":{"sun":{"sidereal_longitude":329.8631,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":127.3436,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":3.4575},"mars":{"sidereal_longitude":65.6303,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":342.9339,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":56.9969,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":296.4928,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":242.4224,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.1104,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.1104,"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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563229.770833,"kali_year":-69,"ahargana":-25235.7292,"sun":{"sidereal_longitude":329.8631,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":127.3436,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.4805,"elapsed_within_tithi_degrees":1.4805},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.3436,"elapsed_within_degrees":7.3436},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.2067},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.457,"elongation":157.48},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.457,"opposition_distance":22.52}},"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":"17:42","solarNoonLocal":"12:29","dayLengthHours":10.442640768216243,"dayLengthDisplay":"10 Hours 26 Mins 34 Secs","nightLengthDisplay":"13 Hours 33 Mins 26 Secs","moonriseLocal":"16:05","moonsetLocal":"05:53","rahuKala":{"name":"Rāhu Kāla","start":"13:47","end":"15:05","startHours":13.782915920129252,"endHours":15.088246016156281,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:34","startHours":7.256265439994099,"endHours":8.56159553602113,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:52","end":"11:10","startHours":9.86692563204816,"endHours":11.17225572807519,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:42","end":"10:02","startHours":9.692881619244556,"endHours":10.040969644851764,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.691375472003109,"endHours":7.969845892488876,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.129497798495013,"endHours":12.825673849709428,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.863913337565267,"endHours":6.560089388779683,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.386045375976079,"endHours":7.256265439994099,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.218025952138262,"endHours":14.91420200335268,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.498906208210343,"endHours":17.89890620821034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.698906208210342,"endHours":18.134016240219353,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.448906208210342,"endHours":19.198906208210342,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.129497798495013,"endHours":24.82567384970943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:15","end":"08:34","startHours":7.256265439994099,"endHours":8.56159553602113,"quality":"auspicious"},{"name":"Roga","start":"08:34","end":"09:52","startHours":8.56159553602113,"endHours":9.86692563204816,"quality":"inauspicious"},{"name":"Udveg","start":"09:52","end":"11:10","startHours":9.86692563204816,"endHours":11.17225572807519,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:29","startHours":11.17225572807519,"endHours":12.47758582410222,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:47","startHours":12.47758582410222,"endHours":13.782915920129252,"quality":"auspicious"},{"name":"Amṛta","start":"13:47","end":"15:05","startHours":13.782915920129252,"endHours":15.088246016156281,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:24","startHours":15.088246016156281,"endHours":16.39357611218331,"quality":"inauspicious"},{"name":"Śubha","start":"16:24","end":"17:42","startHours":16.39357611218331,"endHours":17.698906208210342,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:42","end":"19:24","startHours":17.698906208210342,"endHours":19.39357611218331,"quality":"auspicious"},{"name":"Kāla","start":"19:24","end":"21:05","startHours":19.39357611218331,"endHours":21.088246016156283,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:47","startHours":21.088246016156283,"endHours":22.782915920129252,"quality":"auspicious"},{"name":"Roga","start":"22:47","end":"00:29","startHours":22.782915920129252,"endHours":24.47758582410222,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:10","startHours":24.47758582410222,"endHours":26.17225572807519,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:52","startHours":26.17225572807519,"endHours":27.866925632048158,"quality":"neutral"},{"name":"Labha","start":"03:52","end":"05:34","startHours":27.866925632048158,"endHours":29.56159553602113,"quality":"auspicious"},{"name":"Amṛta","start":"05:34","end":"07:15","startHours":29.56159553602113,"endHours":31.2562654399941,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.256265439994099,"endHours":8.256265439994099,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.256265439994099,"endHours":9.256265439994099,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.256265439994099,"endHours":10.256265439994099,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.256265439994099,"endHours":11.256265439994099,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.256265439994099,"endHours":12.256265439994099,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.256265439994099,"endHours":13.256265439994099,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.256265439994099,"endHours":14.256265439994099,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.256265439994099,"endHours":15.256265439994099,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.256265439994099,"endHours":16.2562654399941,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.2562654399941,"endHours":17.2562654399941,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.2562654399941,"endHours":18.2562654399941,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.2562654399941,"endHours":19.2562654399941,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.2562654399941,"endHours":20.2562654399941,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.2562654399941,"endHours":21.2562654399941,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.2562654399941,"endHours":22.2562654399941,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.2562654399941,"endHours":23.2562654399941,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.2562654399941,"endHours":24.2562654399941,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.2562654399941,"endHours":25.2562654399941,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.2562654399941,"endHours":26.2562654399941,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.2562654399941,"endHours":27.2562654399941,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.2562654399941,"endHours":28.2562654399941,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.2562654399941,"endHours":29.2562654399941,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.2562654399941,"endHours":30.2562654399941,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.2562654399941,"endHours":31.2562654399941,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","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":-22.939233530002955,"eotMinutes":-9.349949446133257,"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 Caturdaśī · Vikram -3113 undefined · Śaka -3248 undefined"},"festivals":[{"id":"holika-dahana","name":"Holikā Dahana","name_sanskrit":"होलिका दहन","tradition":"Vaishnava","associated_deity":"Bhagavān Narasiṁha (Prahlāda-rakṣaka)","significance":"Burning of Holikā; Prahlāda saved by Hari. Eve of Holi.","vrata":true,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 7.5"]},{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi_ingress":"Mīna"},"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":"Dedicated festival walk for Holikā Dahana · Mīna Saṅkrānti is not live yet; Guruvāra (Thursday) — 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 15, 3171 BCE · Mathurā · Vidhyamitra","description":"January 15, 3171 BCE for Mathurā: Śukla Caturdaśī, sūryodaya 07:15, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3170-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3170-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3170-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3170-01-15","x-default":"https://vidhyamitra.com/city/mathura/-3170-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T13:05:04.244Z","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":"2026-09-10T13:05:04.244Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T13:05:04.244Z","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"}}}