{"id":"vidhyamitra:city-day:mathura:-3186-01-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3186-01-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3186-01-19","date_display":"January 19, 3187 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":-3186,"month":1,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557389.770833,"kali_year":-85,"ahargana":-31075.7292,"sun":{"sidereal_longitude":333.988,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":217.8827,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.8947,"elapsed_within_tithi_degrees":3.8947},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.8827,"elapsed_within_degrees":4.5494},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.8707},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3186,"month":1,"day":19,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557389.770833,"ahargana":-31075.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5913,"grahas":{"sun":{"sidereal_longitude":333.988,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":217.8827,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":-0.884},"mars":{"sidereal_longitude":294.4372,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":312.2517,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":300.6805,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":300.4045,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":31.9597,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":26.5417,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":206.5417,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":-3186,"month":1,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557389.770833,"kali_year":-85,"ahargana":-31075.7292,"sun":{"sidereal_longitude":333.988,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":217.8827,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.8947,"elapsed_within_tithi_degrees":3.8947},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":217.8827,"elapsed_within_degrees":4.5494},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.8707},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.884,"elongation":116.105},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.884,"opposition_distance":63.895}},"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":"07:16","sunsetLocal":"17:44","solarNoonLocal":"12:30","dayLengthHours":10.474817637491938,"dayLengthDisplay":"10 Hours 28 Mins 29 Secs","nightLengthDisplay":"13 Hours 31 Mins 31 Secs","moonriseLocal":"22:34","moonsetLocal":"10:57","rahuKala":{"name":"Rāhu Kāla","start":"15:07","end":"16:26","startHours":15.118158641603323,"endHours":16.427510846289817,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:53","end":"11:11","startHours":9.880749822857354,"endHours":11.190102027543848,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:49","startHours":12.499454232230338,"endHours":13.808806436916832,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:42","end":"10:03","startHours":9.706169528899157,"endHours":10.055330116815554,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:42","end":"07:59","startHours":7.698496148379867,"endHours":7.977824618712986,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.15029364431394,"endHours":12.848614820146736,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.865403061818778,"endHours":6.563724237651574,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:16","startHours":6.389143943693375,"endHours":7.26204541348437,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.245257171812328,"endHours":14.943578347645124,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.536863050976308,"endHours":17.936863050976307,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.736863050976307,"endHours":18.173313785871805,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.486863050976307,"endHours":19.236863050976307,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.15029364431394,"endHours":24.848614820146736,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:16","end":"08:34","startHours":7.26204541348437,"endHours":8.571397618170863,"quality":"inauspicious"},{"name":"Udveg","start":"08:34","end":"09:53","startHours":8.571397618170863,"endHours":9.880749822857354,"quality":"inauspicious"},{"name":"Chala","start":"09:53","end":"11:11","startHours":9.880749822857354,"endHours":11.190102027543848,"quality":"neutral"},{"name":"Labha","start":"11:11","end":"12:30","startHours":11.190102027543848,"endHours":12.499454232230338,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:49","startHours":12.499454232230338,"endHours":13.808806436916832,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:07","startHours":13.808806436916832,"endHours":15.118158641603323,"quality":"inauspicious"},{"name":"Śubha","start":"15:07","end":"16:26","startHours":15.118158641603323,"endHours":16.427510846289817,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:44","startHours":16.427510846289817,"endHours":17.736863050976307,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:44","end":"19:26","startHours":17.736863050976307,"endHours":19.427510846289813,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:07","startHours":19.427510846289813,"endHours":21.118158641603323,"quality":"auspicious"},{"name":"Roga","start":"21:07","end":"22:49","startHours":21.118158641603323,"endHours":22.808806436916832,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:30","startHours":22.808806436916832,"endHours":24.499454232230338,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:11","startHours":24.499454232230338,"endHours":26.190102027543844,"quality":"neutral"},{"name":"Labha","start":"02:11","end":"03:53","startHours":26.190102027543844,"endHours":27.880749822857354,"quality":"auspicious"},{"name":"Amṛta","start":"03:53","end":"05:34","startHours":27.880749822857354,"endHours":29.571397618170863,"quality":"auspicious"},{"name":"Kāla","start":"05:34","end":"07:16","startHours":29.571397618170863,"endHours":31.26204541348437,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.26204541348437,"endHours":8.262045413484369,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.262045413484369,"endHours":9.262045413484369,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.262045413484369,"endHours":10.262045413484369,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.262045413484369,"endHours":11.262045413484369,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.262045413484369,"endHours":12.262045413484369,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.262045413484369,"endHours":13.262045413484369,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.262045413484369,"endHours":14.262045413484369,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.262045413484369,"endHours":15.262045413484369,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.262045413484369,"endHours":16.26204541348437,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.26204541348437,"endHours":17.26204541348437,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.26204541348437,"endHours":18.26204541348437,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.26204541348437,"endHours":19.26204541348437,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.26204541348437,"endHours":20.26204541348437,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.26204541348437,"endHours":21.26204541348437,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.26204541348437,"endHours":22.26204541348437,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.26204541348437,"endHours":23.26204541348437,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.26204541348437,"endHours":24.26204541348437,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.26204541348437,"endHours":25.26204541348437,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.26204541348437,"endHours":26.26204541348437,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.26204541348437,"endHours":27.26204541348437,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.26204541348437,"endHours":28.26204541348437,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.26204541348437,"endHours":29.26204541348437,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.26204541348437,"endHours":30.26204541348437,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.26204541348437,"endHours":31.26204541348437,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.548051807400338,"eotMinutes":-10.662053933820344,"ayanamsa":-48.5913}},"calendars":{"vikram_samvat":-3129,"vikram_samvatsara":"Prabhava","saka_samvat":-3264,"bengali_samvat":-3779,"malayalam_era":-4010,"nanakshahi_year":-4655,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Ṣaṣṭhī · Vikram -3129 Prabhava · Śaka -3264 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 19, 3187 BCE · Mathurā · Vidhyamitra","description":"January 19, 3187 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:16, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3186-01-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3186-01-19","sa":"https://sa.vidhyamitra.com/city/mathura/-3186-01-19","hi":"https://hi.vidhyamitra.com/city/mathura/-3186-01-19","x-default":"https://vidhyamitra.com/city/mathura/-3186-01-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T23:46:41.152Z","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":"2026-09-06T23:46:41.152Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T23:46:41.152Z","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"}}}